Patent Publication Number: US-2021186438-A1

Title: Systems and methods for selecting, activating, or selecting and activating transducers

Description:
CROSS-REFERENCE TO RELATED APPLICATIONS 
     This application is a continuation of U.S. patent application Ser. No. 16/388,063, filed Apr. 18, 2019, which is a continuation of U.S. patent application Ser. No. 15/827,499, filed Nov. 30, 2017, issued as U.S. Pat. No. 10,722,184 on Jul. 28, 2020, which is a continuation-in-part of U.S. patent application Ser. No. 14/942,459, filed Nov. 16, 2015, issued as U.S. Pat. No. 10,368,936 on Aug. 6, 2019, which claims the benefit of U.S. Provisional Application No. 62/080,750, filed Nov. 17, 2014, the entire disclosure of each of the applications cited in this sentence is hereby incorporated herein by reference. 
    
    
     TECHNICAL FIELD 
     Aspects of this disclosure generally are related to systems and methods for selecting, activating, or selecting and activating transducers, such systems and methods applicable to, among other things, medical systems. 
     BACKGROUND 
     Cardiac surgery was initially undertaken using highly invasive open procedures. A sternotomy, which is a type of incision in the center of the chest that separates the sternum was typically employed to allow access to the heart. In the past several decades, more and more cardiac operations are performed using intravascular or percutaneous techniques, where access to inner organs or other tissue is gained via a catheter. 
     Intravascular or percutaneous surgeries benefit patients by reducing surgery risk, complications and recovery time. However, the use of intravascular or percutaneous technologies also raises some particular challenges. Medical devices used in intravascular or percutaneous surgery need to be deployed via catheter systems which significantly increase the complexity of the device structure. As well, doctors do not have direct visual contact with the medical devices once the devices are positioned within the body. 
     One example of where intravascular or percutaneous medical techniques have been employed is in the treatment of a heart disorder called atrial fibrillation. Atrial fibrillation is a disorder in which spurious electrical signals cause an irregular heartbeat. Atrial fibrillation has been treated with open heart methods using a technique known as the “Cox-Maze procedure”. During this procedure, physicians create specific patterns of lesions in the left or right atria to block various paths taken by the spurious electrical signals. Such lesions were originally created using incisions, but are now typically created by ablating the tissue with various techniques including radio-frequency (RF) energy, microwave energy, laser energy and cryogenic techniques. The procedure is performed with a high success rate under the direct vision that is provided in open procedures, but is relatively complex to perform intravascularly or percutaneously because of the difficulty in creating the lesions in the correct locations. Various problems, potentially leading to severe adverse results, may occur if the lesions are placed incorrectly. It is particularly important to know the position of the various transducers which will be creating the lesions relative to cardiac features such as the pulmonary veins and mitral valve. The continuity, transmurality and placement of the lesion patterns that are formed can impact the ability to block paths taken within the heart by spurious electrical signals. Other requirements for various ones of the transducers to perform additional functions such as, but not limited to, mapping various anatomical features, mapping electrophysiological activity, sensing tissue characteristics such as impedance and temperature and tissue stimulation can also complicate the operation of the employed medical device. 
     In this regard, there is a need for improved intra-bodily-cavity transducer-based device systems or control mechanisms thereof with improved performance and reduced complexity as compared to conventional device systems. 
     In this regard, there is a need for improved intra-bodily-cavity transducer-based device systems or control mechanisms thereof with enhanced graphical path generation capabilities, the graphical path forming an accurate basis for a tissue ablation path. 
     In this regard, there is a need for improved intra-bodily-cavity transducer-based device systems or control mechanisms thereof with enhanced transducer selection capabilities. 
     SUMMARY 
     At least the above-discussed need is addressed and technical solutions are achieved by various embodiments of the present invention. In some embodiments, device systems and methods executed by such systems exhibit enhanced capabilities for the selection or selection and activation of various transducers, which may be located within a bodily cavity, such as an intra-cardiac cavity. In some embodiments, the systems or a portion thereof may be percutaneously or intravascularly delivered to position the various transducers within the bodily cavity. Various ones of the transducers may be activated to distinguish tissue from blood and may be used to deliver positional information of the device relative to various anatomical features in the bodily cavity, such as the pulmonary veins and mitral valve in an atrium. Various ones of the transducers may employ characteristics such as blood flow detection, impedance change detection or deflection force detection to discriminate between blood and tissue. Various ones of the transducers may be used to treat tissue within a bodily cavity. Treatment may include tissue ablation by way of non-limiting example. Various ones of the transducers may be used to stimulate tissue within the bodily cavity. Stimulation can include pacing by way of non-limiting example. Other advantages will become apparent from the teaching herein to those of skill in the art. 
     In some embodiments, a system may be summarized as including a data processing device system, an input-output device system communicatively connected to the data processing device system, and a memory device system communicatively connected to the data processing device system and storing a program executable by the data processing device system. The program may include display instructions, input-processing instructions, and graphical representation modification instructions. 
     The display instructions may be configured to cause the input-output device system to display a graphical representation including at least a plurality of transducer graphical elements, each transducer graphical element of the plurality of transducer graphical elements representative of a respective transducer of a plurality of transducers of a transducer-based device. The graphical representation may include a first spatial relationship between the plurality of transducer graphical elements that is consistent with a second spatial relationship between the plurality of transducers of the transducer-based device. 
     The input-processing instructions may be configured to cause reception of a set of user input via the input-output device system. The set of user input may include an instruction set to reposition a first transducer graphical element of the plurality of transducer graphical elements in a state in which the first transducer graphical element is located at a first location in the graphical representation and a second transducer graphical element of the plurality of transducer graphical elements is located at a second location in the graphical representation. The second location may be closer to a predetermined location in the graphical representation than the first location. 
     The graphical representation modification instructions may be configured to cause, in response to conclusion of receipt of the set of user input including the instruction set to reposition the first transducer graphical element, the input-output device system to reposition the first transducer graphical element from the first location in the graphical representation to the predetermined location in the graphical representation. According to some embodiments, the second location and the predetermined location are different locations. 
     In some embodiments, the predetermined location is more centrally located in the graphical representation than the first location, and the repositioning of the first transducer graphical element centralizes the first transducer graphical element in the graphical representation. In some embodiments, the graphical representation modification instructions are configured to cause, in response to the conclusion of receipt of the set of user input including the instruction set to reposition the first transducer graphical element, the input-output device system to reposition the second transducer graphical element from the second location in the graphical representation to a third location in the graphical representation, and the predetermined location is more centrally located in the graphical representation than the third location. In some embodiments, the predetermined location is in a first direction extending from the first location and in a second direction extending from the third location, with the first direction and the second direction being non-parallel directions. In some embodiments, the first location is spaced in the graphical representation from the predetermined location by a first distance and the third location is spaced from the second location by a second distance, with the first distance and the second distance being different distances. 
     According to some embodiments, the system includes the transducer-based device, with the input-output device system including the transducer-based device. In some embodiments, the transducers of the plurality of transducers are circumferentially arranged about a pole of a structure of the transducer-based device, and a first particular location in the graphical representation corresponds to the pole of the structure. The first particular location in the graphical representation may be closer to the predetermined location than to the first location at least in a state in which the first transducer graphical element is located at the first location. In some embodiments, the first particular location in the graphical representation is located centrally in the graphical representation at least in the state in which the first transducer graphical element is located at the first location. In some embodiments, the graphical representation modification instructions are configured to cause, in response to the conclusion of receipt of the set of user input including the instruction set to reposition the first transducer graphical element, the input-output device system to reconfigure the graphical representation to cause a second particular location in the graphical representation to correspond to the pole of the structure instead of the first particular location. The second particular location may be located farther from the predetermined location than the first particular location. In some embodiments, at least the second transducer graphical element appears rotated in the graphical representation about a graphical region corresponding to a pole location of the pole of the structure between a transition from the state in which the first transducer graphical element is located at the first location and a state in which the first transducer graphical element is located at the predetermined location upon conclusion of the repositioning of the first transducer graphical element from the first location in the graphical representation to the predetermined location in the graphical representation. In some embodiments, at least the second transducer graphical element appears rotated in the graphical representation about a graphical region corresponding to a pole location of the pole of the structure upon conclusion of the repositioning of the first transducer graphical element from the first location in the graphical representation to the predetermined location in the graphical representation. In some embodiments, the program includes sampling instructions configured to cause sampling of data by each of one or more transducers of the plurality of transducers of the transducer-based device, and generation instructions configured to cause generation of intra-cardiac information based at least in part on the sampled data. In some embodiments, the one or more transducers include the first transducer, the second transducer, or both the first transducer and the second transducer. The graphical representation may represent the intra-cardiac information among the plurality of transducer graphical elements. The graphical representation modification instructions may be configured to cause, in response to the conclusion of receipt of the set of user input including the instruction set to reposition the first transducer graphical element, the input-output device system to reposition the representation of the intra-cardiac information among the plurality of transducer graphical elements in accordance with the repositioning of the first transducer graphical element from the first location in the graphical representation to the predetermined location in the graphical representation. 
     According to some embodiments, the plurality of transducers are arranged in a three-dimensional distribution, and the plurality of transducer graphical elements are arranged in the graphical representation in a particular spatial distribution representing the three-dimensional distribution distorted onto a two-dimensional plane. 
     According to some embodiments, the plurality of transducers are arranged in a three-dimensional distribution, and the plurality of transducer graphical elements are arranged in the graphical representation according to a conformal map of the three-dimensional distribution. The conformal map of the three-dimensional distribution may be a transverse Mercator map of the three-dimensional distribution. 
     According to some embodiments, the program includes storage instructions configured to cause the memory device system to store particular information prior to the reception of the set of user input via the input-output device system. The particular information may be indicative of a location of the predetermined location in the graphical representation. 
     According to some embodiments, the input-output device system is communicatively connected to the transducer-based device, and the set of user input is a first set of user input. The program may include selection instructions configured to cause reception of a second set of user input via the input-output device system. The second set of user input may include a second instruction set to select, in a state in which the input-output device system has repositioned the first transducer graphical element from the first location in the graphical representation to the predetermined location in the graphical representation, a set of transducer graphical elements of the plurality of transducer graphical elements. The program may include activation instructions configured to cause activation, via the input-output device system, of a set of transducers of the plurality of transducers of the transducer-based device in response to reception of the second set of user input including the second instruction set to select the set of transducer graphical elements, the set of transducers corresponding to the set of transducer graphical elements. 
     In some embodiments, a transducer activation system may be summarized as including a data processing device system, an input-output device system communicatively connected to the data processing device system, and a memory device system communicatively connected to the data processing device system and storing a program executable by the data processing device system. The program may include display instructions configured to cause the input-output device system to display a graphical representation of at least intra-cardiac information. The program may include input-processing instructions configured to: cause reception of first user input via the input-output device system and, in response to receiving the first user input, place a first user input element in an activated state; cause reception of second user input via the input-output device system and, in response to receiving the second user input, place the first user input element in a deactivated state; and cause reception of motion-based user input via the input-output device system. The program may include path definition instructions configured to cause definition of a graphical path including a first location on the graphical path defined according to a first parameter set associated with the first user input, a second location on the graphical path defined according to a second parameter set associated with the second user input, and an elongate path portion of the graphical path defined according to a path traced by the motion-based user input. The program may include activation instructions configured to cause activation of a transducer-based device system, initiated during or after completion of the definition of the graphical path, to transmit energy sufficient for tissue ablation along an ablation path corresponding to the graphical path. The display instructions may be configured to the cause the input-output device system to display the graphical path including each of the first location, the second location, and the elongate path portion among the graphical representation of the intra-cardiac information. 
     In some embodiments, the program may include sampling instructions configured to cause sampling of data by each of one or more transducers of the transducer-based device system, a portion of the transducer-based device system including the one or more transducers positionable in a cardiac chamber during the sampling. The program may include generation instructions configured to cause generation of the intra-cardiac information based at least in part on the sampled data. The sampled data may be sampled from each of a plurality of locations in the cardiac chamber, and the generation instructions may be configured to cause mapping of each of a plurality of parts of the intra-cardiac information to a respective one of the plurality of locations in the cardiac chamber. The display instructions may be configured to cause the input-output device system to display the plurality of parts of the intra-cardiac information with a first spatial relationship that is consistent with a second spatial relationship between the plurality of locations in the cardiac chamber. The one or more transducers may include a plurality of transducers and the sampling instructions may be configured to cause the sampled data to be sampled concurrently from the plurality of locations in the cardiac chamber. 
     In some embodiments, the sampled data includes temperature data and the graphical representation of the intra-cardiac information includes a graphical representation of at least some of the temperature data or a derivation thereof. In some embodiments, the sampled data includes impedance data or conductivity data and the graphical representation of the intra-cardiac information includes a graphical representation of at least some of the impedance data or conductivity data or a derivation thereof. In some embodiments, the sampled data includes pressure data and the graphical representation of the intra-cardiac information includes a graphical representation of at least some of the pressure data or a derivation thereof. In some embodiments, the sampled data includes flow data associated with blood flow in the cardiac chamber and the graphical representation of the intra-cardiac information includes a graphical representation of at least some of the flow data or a derivation thereof. In some embodiments, the sampled data comprises intra-cardiac electrogram voltage data and the graphical representation of the intra-cardiac information includes a graphical representation of at least some of the intra-cardiac electrogram voltage data or a derivation thereof. 
     In some embodiments, the graphical representation of the intra-cardiac information may include a map of an interior tissue surface region of a cardiac chamber. 
     In some embodiments, a portion of the transducer-based device system includes a plurality of transducers positionable in a cardiac chamber, and the display instructions may be configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. In some embodiments, the graphical representation of the intra-cardiac information may include a map of an interior tissue surface region of the cardiac chamber displayed concurrently with the plurality of transducer graphical elements. In some embodiments, the first user input indicates a selection of a first transducer graphical element set including at least a first transducer graphical element of the plurality of transducer graphical elements, and the second user input indicates a selection of a second transducer graphical element set including at least a second transducer graphical element of the plurality of transducer graphical elements other than the first transducer graphical element. 
     In some embodiments, the first user input indicates a selection of a first transducer graphical element set including at least a first transducer graphical element of the plurality of transducer graphical elements, and the motion-based user input indicates a selection of a second transducer graphical element set including at least a second transducer graphical element of the plurality of transducer graphical elements other than the first transducer graphical element. In some embodiments, the first transducer graphical element set, the second transducer graphical element set, or each of the first and the second transducer graphical element sets includes a group of transducer graphical elements, each group of transducer graphical elements corresponding to a respective one of a plurality of groups of adjacent ones of the transducers. In some embodiments, the activation instructions may be configured to cause transmission, initiated during or after completion of the definition of the graphical path, of energy sufficient for tissue ablation from at least each respective transducer corresponding to each transducer graphical element in each of the first transducer graphical element set and the second transducer graphical element set. In some embodiments, the displayed graphical path is represented at least in part by the first transducer graphical element, the second transducer graphical element, and a third transducer graphical element other than the first and the second transducer graphical elements, the third transducer graphical element part of the first transducer graphical element set or the second transducer graphical element set, and the activation instructions may be configured to cause transmission, initiated during or after completion of the definition of the graphical path, of energy sufficient for tissue ablation from at least each respective transducer corresponding to the first transducer graphical element, the second transducer graphical element, and the third transducer graphical element. 
     In some embodiments, the second user input indicates a termination of the definition of the graphical path. 
     In some embodiments, a portion of the transducer-based device system includes a plurality of transducers positionable in a cardiac chamber. The display instructions may be configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. The display instructions may be configured to cause the input-output device system to display a plurality of between graphical elements concurrently with the transducer graphical elements, the graphical path, and the graphical representation of the intra-cardiac information, each of the plurality of between graphical element associated with a region of space between transducers of a respective one of a plurality of groups of adjacent ones of the transducers, each region of space not including any transducer. The first user input may indicate a selection of a first between graphical element of the plurality of between graphical elements, and the second user input may indicate a selection of a second between graphical element of the plurality of between graphical elements other than the first between graphical element. The first between graphical element, the second between graphical element, or each of the first and the second between graphical elements may be associated with a region of space that is not associated with any physical part of the transducer-based device system. The first parameter set may include a first display-screen-location associated with the first user input, and the second parameter set may include a second display-screen-location associated with the second user input. The path definition instructions may be configured to cause definition of the first location based at least on an analysis of the first display-screen-location in relation to one or more of the transducer graphical elements, and the path definition instructions may be configured to cause definition of the second location based at least on an analysis of the second display-screen-location in relation to one or more of the transducer graphical elements. In some embodiments, the first location may be a location of a first one of the transducer graphical elements, and the second location may be a location of a second one of the transducer graphical elements. 
     In some embodiments, a portion of the transducer-based device system includes a plurality of transducers positionable in a cardiac chamber. The display instructions may be configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. The display instructions may be configured to cause the input-output device system to display a plurality of between graphical elements concurrently with the transducer graphical elements, the graphical path, and the graphical representation of the intra-cardiac information, each of the plurality of between graphical elements associated with a region of space between transducers of a respective one of a plurality of groups of adjacent ones of the transducers, each region of space not including any transducer. The path traced by the motion-based user input may indicate at least a selection of at least one of the between graphical elements. The selected at least one of the between graphical elements may be associated with a region of space that is not associated with any physical part of the transducer-based device system. The selected at least one of the between graphical elements may include an elongated portion extending between two respective ends, each of the respective ends located at least proximate a respective one of two of the transducer graphical elements, and the elongate path portion of the graphical path may be provided at least in part by the elongated portion of the selected at least one of the between graphical elements. In some embodiments, the activation instructions may be configured to cause transmission, initiated during or after completion of the definition of the graphical path, of energy sufficient for tissue ablation from at least each transducer of the respective one of the plurality of groups of adjacent ones of the transducers corresponding to the selected at least one of the between graphical elements. The activation instructions may be configured to cause concurrent monopolar activation, initiated during or after completion of the definition of the graphical path, of the transducers of the respective one of the plurality of groups of adjacent ones of the transducers corresponding to the selected at least one of the between graphical elements. 
     In some embodiments, a portion of the transducer-based device system includes a plurality of transducers positionable in a cardiac chamber. The display instructions may be configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. The first user input may indicate a selection of a first transducer graphical element set including at least a first transducer graphical element of the plurality of transducer graphical elements, and the motion-based user input may indicate a selection of a second transducer graphical element set including at least a second transducer graphical element of the plurality of transducer graphical elements other than the first transducer graphical element. In some embodiments, the path definition instructions may be configured to cause the path traced by the motion-based user input or a portion thereof to snap to the second transducer graphical element or a portion thereof in response to the path traced by the motion-based user input or the portion thereof being away from the second transducer graphical element but within a predetermined distance from the second transducer graphical element or a part thereof. In some embodiments, the path definition instructions may be configured to cause the elongate path portion of the graphical path to include the second transducer graphical element or a portion thereof in response to the path traced by the motion-based user input or a portion thereof being away from the second transducer graphical element but within a predetermined display region associated with the second transducer graphical element. In some embodiments, the path definition instructions may be configured to cause the elongate path portion of the graphical path to include the second transducer graphical element or a portion thereof in response to the path traced by the motion-based user input or a portion thereof passing through a predetermined display region associated with the second transducer graphical element, the predetermined display region including at least a part of the second transducer graphical element, and the second transducer graphical element not occupying all of the predetermined display region. In some embodiments, the path definition instructions may be configured to cause the elongate path portion of the graphical path to include the second transducer graphical element or a portion thereof in response to the path traced by the motion-based user input or a portion thereof being away from the second transducer graphical element but within a predetermined distance from the second transducer graphical element or a part thereof. In some embodiments, the path definition instructions may be configured to cause the path traced by the motion-based user input or a portion thereof to snap to a particular between graphical element of the at least one of the between graphical elements or a portion of the particular between graphical element in response to the path traced by the motion-based user input or the portion thereof being away from the particular between graphical element but within a predetermined distance from the particular between graphical element or a part thereof. In some embodiments, the path definition instructions may be configured to cause the elongate path portion of the graphical path to include a particular between graphical element of the at least one of the between graphical elements or a portion of the particular between graphical element in response to the path traced by the motion-based user input or a portion thereof being away from the particular between graphical element but within a predetermined display region associated with the particular between graphical element. In some embodiments, the path definition instructions may be configured to cause the elongate path portion of the graphical path to include a particular between graphical element of the at least one of the between graphical elements or a portion of the particular between graphical element in response to the path traced by the motion-based user input or a portion thereof passing through a predetermined display region associated with the particular between graphical element, the predetermined display region including at least a part of the particular between graphical element, and the particular between graphical element not occupying all of the predetermined display region. In some embodiments, the path definition instructions may be configured to cause the elongate path portion of the graphical path to include a particular between graphical element of the at least one of the between graphical elements or a portion of the particular between graphical element in response to the path traced by the motion-based user input or a portion thereof being away from the particular between graphical element but within a predetermined distance from the particular between graphical element or a part thereof. 
     In some embodiments, the path definition instructions may further include graphical path adjustment instructions configured to reduce a size of the elongate path portion in response to a user-based retracing of a portion of the path traced by the motion-based user input. 
     In some embodiments, a portion of the transducer-based device system includes a plurality of transducers positionable in a cardiac chamber. The display instructions may be configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. In some embodiments, the motion-based user input may indicate a selection of a group of the transducer graphical elements, and the program may further include de-selection instructions configured to deselect at least one transducer graphical element in the group of the transducer graphical elements in response to a user-based retracing of a portion of the path traced by the motion-based user input. In some embodiments, the display instructions may be configured to cause the input-output device system to display a plurality of between graphical elements concurrently with the transducer graphical elements, the graphical path, and the graphical representation of the intra-cardiac information, each of the plurality of between graphical elements associated with a region of space between transducers of a respective one of a plurality of groups of adjacent ones of the transducers, each region of space not including any transducer, and wherein the path traced by the motion-based user input indicates at least a selection of a group of the between graphical elements, and the program may further include de-selection instructions configured deselect at least one between graphical element in the group of the transducer graphical elements in response to a user-based retracing of a portion of the path traced by the motion-based user input. 
     In some embodiments, the first user input may include at least engaging the first user input element and the second user input may include at least disengaging the first user input element. In some embodiments, the first user input element may include a keyboard key, a mouse button, or a touch screen. In some embodiments, the first user input element includes a touch screen, and the engaging of the first user input element may include a registering of an initiation of user-contact with the touch screen, and the disengaging the first user input element may include a registering of a cessation of the user-contact with the touch screen. 
     In some embodiments, the first user input may include at least engaging each of at least two user input elements of the input-output device system and the second user input may include at least disengaging at least one but not all of the at least two user input elements. 
     In some embodiments, the input-processing instructions may be configured to cause reception of a third user input other than the first and the second user inputs and the motion-based user input, and the path definition instructions may be configured to require reception of the third user input in order to at least enable definition of the elongate path portion of the graphical path according to the path traced by the motion-based user input. In some embodiments, the input-processing instructions may be configured to cause a second user input element to be placed in a respective activated state in response to receiving the third user input, and the path definition instructions may be configured to require that the first user input element and the second user input element be in the respective activated states in order to at least enable definition of the elongate path portion of the graphical path according to the path traced by the motion-based user input. In some embodiments, the input-processing instructions may be configured to cause reception of a fourth user input other than the first, second, and third user inputs. The input-processing instructions may be configured to cause the second user input element to be placed in a respective deactivated state in response to receiving the fourth user input, and the path definition instructions may be configured to cause further definition of the elongate path portion of the graphical path according to the path traced by the motion-based user input even though the fourth user input has been received and the second user input element has, consequently, been placed in the respective deactivated state. 
     In some embodiments, the first user input precedes the motion-based user input. 
     In some embodiments, wherein a portion of the transducer-based device system includes a plurality of transducers positionable in a cardiac chamber, and the display instructions are configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. In some embodiments, the display instructions may be configured to cause a change in a visual characteristic of at least one of the transducer graphical elements when the display instructions cause the input-output device system to display the graphical path. The display instructions may be configured to cause a change in a visual characteristic of the at least one of the between graphical elements in response to the reception of the motion-based user input. In some embodiments, each of two or more of the plurality of transducers may include a respective electrode, and the transducer graphical elements corresponding to the two or more of the plurality of transducers each may include a shape that is consistent with a shape of the respective electrode of a corresponding one of the two or more of the plurality of transducers, wherein at least two of the transducer graphical elements corresponding to the two or more of the plurality of transducers comprise different shapes. 
     In some embodiments, the graphical path may be displayed as including an interrupted form. In some embodiments, the graphical path may be displayed as including a circumferential path that surrounds a region of the graphical representation of the intra-cardiac information. In some embodiments, the graphical representation of the intra-cardiac information may include a graphical representation of at least a map indicating a spatial relationship between various anatomical features in a cardiac chamber. In some embodiments, the graphical representation of the intra-cardiac information may include a graphical representation of at least a map of values of at least one tissue electrical characteristic sensed by the transducer-based device system in a cardiac chamber. In some embodiments, the graphical representation of the intra-cardiac information may include a graphical representation of at least a map of intra-cardiac electrogram values originating from information provided by the transducer-based device system. In some embodiments, the graphical representation of the intra-cardiac information may include a graphical representation of at least a map of temperature distribution in a cardiac chamber. 
     In some embodiments, the input-output device system may include the transducer-based device system. The transducer-based device system may include a catheter-based device. A portion of the catheter-based device may include a structure selectively moveable between a delivery configuration in which the structure is sized to be percutaneously deliverable to a cardiac chamber and a deployed configuration in which the structure has a size too large to be percutaneously deliverable to the cardiac chamber. In some embodiments, the display instructions may be configured to cause the input-output device system to graphically display changes in the intra-cardiac information at least during: a) reception of the first user input, b) reception of the second user input, c) reception of the motion-based user input, or any combination of a), b) and c). 
     Various systems may include combinations and subsets of all the systems summarized above. 
     In some embodiments, a transducer activation system may be summarized as including a data processing device system, an input-output device system communicatively connected to the data processing device system, and a memory device system communicatively connected to the data processing device system and storing a program executable by the data processing device system. The data processing device system may be configured by the program at least to: (a) cause the input-output device system to display a graphical representation of at least intra-cardiac information; (b) cause reception of first user input via the input-output device system and, in response to receiving the first user input, place a first user input element in an activated state; (c) cause reception of second user input via the input-output device system and, in response to receiving the second user input, place the first user input element in a deactivated state; and (d) cause reception of motion-based user input via the input-output device system. The data processing device system may be further configured by the program at least to cause definition of a graphical path including a first location on the graphical path defined according to a first parameter set associated with the first user input, a second location on the graphical path defined according to a second parameter set associated with the second user input, and an elongate path portion of the graphical path defined according to a path traced by the motion-based user input. The data processing device system may be further configured by the program at least to cause activation of a transducer-based device system, initiated during or after completion of the definition of the graphical path, to transmit energy sufficient for tissue ablation along an ablation path corresponding to the graphical path. The data processing device system may be further configured by the program at least to cause the input-output device system to display the graphical path including each of the first location, the second location, and the elongate path portion among the graphical representation of the intra-cardiac information. 
     In some embodiments, a method may be executed by a data processing device system according to a program stored by a memory device system communicatively connected to the data processing device system, the data processing device system further communicatively connected to an input-output device system. The method may include the data processing device system (a) causing display, via the input-output device system, of a graphical representation including at least a plurality of transducer graphical elements, each transducer graphical element of the plurality of transducer graphical elements representative of a respective transducer of a plurality of transducers of a transducer-based device, and the graphical representation including a first spatial relationship between the plurality of transducer graphical elements that is consistent with a second spatial relationship between the plurality of transducers of the transducer-based device; (b) receiving, via the input-output device system, a set of user input, including an instruction set to reposition a first transducer graphical element of the plurality of transducer graphical elements in a state in which the first transducer graphical element is located at a first location in the graphical representation and a second transducer graphical element of the plurality of transducer graphical elements is located at a second location in the graphical representation, the second location closer to a predetermined location in the graphical representation than the first location; and (c) repositioning, in response to conclusion of receipt of the set of user input including the instruction set to reposition the first transducer graphical element, and via the input-output device system, the first transducer graphical element from the first location in the graphical representation to the predetermined location in the graphical representation. 
     In some embodiments, a transducer activation method may be executed by a data processing device system according to a program stored by a memory device system communicatively connected to the data processing device system, the data processing device system further communicatively connected to an input-output device system. The method may include the data processing device system (a) causing the input-output device system to display a graphical representation of at least intra-cardiac information; (b) causing reception of first user input via the input-output device system and, in response to receiving the first user input, placing a first user input element in an activated state; (c) causing reception of second user input via the input-output device system and, in response to receiving the second user input, placing the first user input element in a deactivated state; and (d) causing reception of motion-based user input via the input-output device system. The method may further include the data processing device system causing definition of a graphical path including a first location on the graphical path defined according to a first parameter set associated with the first user input, a second location on the graphical path defined according to a second parameter set associated with the second user input, and an elongate path portion of the graphical path defined according to a path traced by the motion-based user input. The method may further include the data processing device system causing activation of a transducer-based device system, initiated during or after completion of the definition of the graphical path, to transmit energy sufficient for tissue ablation along an ablation path corresponding to the graphical path. The method may further include the data processing device system causing the input-output device system to display the graphical path including each of the first location, the second location, and the elongate path portion among the graphical representation of the intra-cardiac information. 
     In some embodiments, a computer-readable storage medium system may include one or more computer-readable storage mediums storing a program executable by one or more data processing devices of a data processing device system communicatively connected to an input-output device system. The program may include a display module configured to cause the input-output device system to display a graphical representation including at least a plurality of transducer graphical elements, each transducer graphical element of the plurality of transducer graphical elements representative of a respective transducer of a plurality of transducers of a transducer-based device, and the graphical representation including a first spatial relationship between the plurality of transducer graphical elements that is consistent with a second spatial relationship between the plurality of transducers of the transducer-based device. The program may also include an input-processing module configured to cause reception of a set of user input via the input-output device system, the set of user input including an instruction set to reposition a first transducer graphical element of the plurality of transducer graphical elements in a state in which the first transducer graphical element is located at a first location in the graphical representation and a second transducer graphical element of the plurality of transducer graphical elements is located at a second location in the graphical representation, the second location closer to a predetermined location in the graphical representation than the first location. The program may also include a graphical representation modification module configured to cause, in response to conclusion of receipt of the set of user input including the instruction set to reposition the first transducer graphical element, the input-output device system to reposition the first transducer graphical element from the first location in the graphical representation to the predetermined location in the graphical representation. 
     In some embodiments, a computer-readable storage medium system may include one or more computer-readable storage mediums storing a program executable by one or more data processing devices of a data processing device system communicatively connected to an input-output device system. The program may include a display module configured to cause the input-output device system to display a graphical representation of at least intra-cardiac information. The program may include an input-processing module configured to: cause reception of first user input via the input-output device system and, in response to receiving the first user input, place a first user input element in an activated state; cause reception of second user input via the input-output device system and, in response to receiving the second user input, place the first user input element in a deactivated state; and cause reception of motion-based user input via the input-output device system. The program may include a path definition module configured to cause definition of a graphical path including a first location on the graphical path defined according to a first parameter set associated with the first user input, a second location on the graphical path defined according to a second parameter set associated with the second user input, and an elongate path portion of the graphical path defined according to a path traced by the motion-based user input. The program may include an activation module configured to cause activation of a transducer-based device system, initiated during or after completion of the definition of the graphical path, to transmit energy sufficient for tissue ablation along an ablation path corresponding to the graphical path. The display module may be configured to the cause the input-output device system to display the graphical path including each of the first location, the second location, and the elongate path portion among the graphical representation of the intra-cardiac information. 
     In some embodiments, a transducer activation system may be summarized as including a data processing device system, an input-output device system communicatively connected to the data processing device system, and a memory device system communicatively connected to the data processing device system and storing a program executable by the data processing device system. The program may include display instructions configured to cause the input-output device system to display a graphical representation of at least intra-cardiac information. The program may include input-processing instructions configured to: cause reception of first user input via the input-output device system and, in response to receiving the first user input, place a first user input element in an activated state; cause reception of second user input via the input-output device system and, in response to receiving the second user input, place the first user input element in a deactivated state; and cause reception of motion-based user input via the input-output device system. The program may include path definition instructions configured to cause definition of a graphical path including a first location on the graphical path defined according to a first parameter set associated with the first user input, a second location on the graphical path defined according to a second parameter set associated with the second user input, and at least a third location on the graphical path other than the first location and the second location defined according to a path traced by the motion-based user input. The program may include activation instructions configured to cause activation of a transducer-based device system, initiated during or after completion of the definition of the graphical path, to transmit energy sufficient for tissue ablation along an ablation path corresponding to the graphical path. The display instructions may be configured to the cause the input-output device system to display the graphical path including the first location, the second location, and the at least the third location among the graphical representation of the intra-cardiac information. 
     In some embodiments, the program may further include sampling instructions configured to cause sampling of data by each of one or more transducers of the transducer-based device system, a portion of the transducer-based device system including the one or more transducers positionable in a cardiac chamber during the sampling. The program may include generation instructions configured to cause generation of the intra-cardiac information based at least in part on the sampled data. The sampled data may be sampled from each of a plurality of locations in the cardiac chamber, and the generation instructions may be configured to cause mapping of each of a plurality of parts of the intra-cardiac information to a respective one of the plurality of locations in the cardiac chamber, and the display instructions may be configured to cause the input-output device system to display the plurality of parts of the intra-cardiac information with a first spatial relationship that is consistent with a second spatial relationship between the plurality of locations in the cardiac chamber. The one or more transducers may include a plurality of transducers and the sampling instructions may be configured to cause the sampled data to be sampled concurrently from the plurality of locations in the cardiac chamber. In some embodiments, the sampled data may include temperature data and the graphical representation of the intra-cardiac information includes a graphical representation of at least some of the temperature data or a derivation thereof. In some embodiments, the sampled data may include impedance data or conductivity data and the graphical representation of the intra-cardiac information includes a graphical representation of at least some of the impedance data or conductivity data or a derivation thereof. In some embodiments, the sampled data may include pressure data and the graphical representation of the intra-cardiac information includes a graphical representation of at least some of the pressure data or a derivation thereof. In some embodiments, the sampled data may include flow data associated with blood flow in the cardiac chamber and the graphical representation of the intra-cardiac information includes a graphical representation of at least some of the flow data or a derivation thereof. In some embodiments, the sampled data may include intra-cardiac electrogram voltage data and the graphical representation of the intra-cardiac information includes a graphical representation of at least some of the intra-cardiac electrogram voltage data or a derivation thereof. 
     In some embodiments, the graphical representation of the intra-cardiac information may include a map of an interior tissue surface region of a cardiac chamber. 
     In some embodiments, a portion of the transducer-based device system may include a plurality of transducers positionable in a cardiac chamber, and the display instructions may be configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. In some embodiments, the graphical representation of the intra-cardiac information may include a map of an interior tissue surface region of the cardiac chamber displayed concurrently with the plurality of transducer graphical elements. In some embodiments, the first user input may indicate a selection of a first transducer graphical element set that includes at least a first transducer graphical element of the plurality of transducer graphical elements, and the second user input may indicate a selection of a second transducer graphical element set that includes at least a second transducer graphical element of the plurality of transducer graphical elements other than the first transducer graphical element. In some embodiments, the first user input may indicate a selection of a first transducer graphical element set that includes at least a first transducer graphical element of the plurality of transducer graphical elements, and the motion-based user input may indicate a selection of a second transducer graphical element set that includes at least a second transducer graphical element of the plurality of transducer graphical elements other than the first transducer graphical element. In the first transducer graphical element set, the second transducer graphical element set, or each of the first and the second transducer graphical element sets comprises a group of transducer graphical elements, each group of transducer graphical elements corresponding to a respective one of a plurality of groups of adjacent ones of the transducers. In some embodiments, the activation instructions may be configured to cause transmission, initiated during or after completion of the definition of the graphical path, of energy sufficient for tissue ablation from at least each respective transducer corresponding to each transducer graphical element in each of the first transducer graphical element set and the second transducer graphical element set. In some embodiments, the displayed graphical path is represented at least in part by the first transducer graphical element, the second transducer graphical element, and a third transducer graphical element other than the first and the second transducer graphical elements, the third transducer graphical element part of the first transducer graphical element set or the second transducer graphical element set, and the activation instructions may be configured to cause transmission, initiated during or after completion of the definition of the graphical path, of energy sufficient for tissue ablation from at least each respective transducer corresponding to the first transducer graphical element, the second transducer graphical element, and the third transducer graphical element. 
     In some embodiments, the second user input indicates a termination of the definition of the graphical path. 
     In some embodiments, a portion of the transducer-based device system may include a plurality of transducers positionable in a cardiac chamber, and the display instructions may be configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. In some embodiments, the display instructions may be configured to cause the input-output device system to display a plurality of between graphical elements concurrently with the transducer graphical elements, the graphical path, and the graphical representation of the intra-cardiac information, each of the plurality of between graphical element associated with a region of space between transducers of a respective one of a plurality of groups of adjacent ones of the transducers, each region of space not including any transducer, and the first user input may indicate a selection of a first between graphical element of the plurality of between graphical elements, and the second user input may indicate a selection of a second between graphical element of the plurality of between graphical elements other than the first between graphical element. The first between graphical element, the second between graphical element, or each of the first and the second between graphical elements may be associated with a region of space that is not associated with any physical part of the transducer-based device system. In some embodiments, the first parameter set includes a first display-screen-location associated with the first user input, and the second parameter set includes a second display-screen-location associated with the second user input. The path definition instructions may be configured to cause definition of the first location based at least on an analysis of the first display-screen-location in relation to one or more of the transducer graphical elements, and the path definition instructions may be configured to cause definition of the second location based at least on an analysis of the second display-screen-location in relation to one or more of the transducer graphical elements. The first location may be a location of a first one of the transducer graphical elements, and the second location may be a location of a second one of the transducer graphical elements. 
     In some embodiments, a portion of the transducer-based device system may include a plurality of transducers positionable in a cardiac chamber, and the display instructions may be configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. The display instructions may be configured to cause the input-output device system to display a plurality of between graphical elements concurrently with the transducer graphical elements, the graphical path, and the graphical representation of the intra-cardiac information, each of the plurality of between graphical elements associated with a region of space between transducers of a respective one of a plurality of groups of adjacent ones of the transducers, each region of space not including any transducer, and the path traced by the motion-based user input may indicate at least a selection of at least one of the between graphical elements. In some embodiments, the selected at least one of the between graphical elements may be associated with a region of space that is not associated with any physical part of the transducer-based device system. In some embodiments, the at least the third location may be indicated at least in part by the selected at least one of the between graphical elements. In some embodiments, the activation instructions may be configured to cause transmission, initiated during or after completion of the definition of the graphical path, of energy sufficient for tissue ablation from at least each transducer of the respective one of the plurality of groups of adjacent ones of the transducers corresponding to the selected at least one of the between graphical elements. The activation instructions may be configured to cause concurrent monopolar activation, initiated during or after completion of the definition of the graphical path, of the transducers of the respective one of the plurality of groups of adjacent ones of the transducers corresponding to the selected at least one of the between graphical elements. 
     In some embodiments, a portion of the transducer-based device system includes a plurality of transducers positionable in a cardiac chamber, and the display instructions may be configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. The first user input may indicate a selection of a first transducer graphical element set that includes at least a first transducer graphical element of the plurality of transducer graphical elements, and the motion-based user input may indicate a selection of a second transducer graphical element set that includes at least a second transducer graphical element of the plurality of transducer graphical elements other than the first transducer graphical element. In some embodiments, the path definition instructions may be configured to cause the path traced by the motion-based user input or a portion thereof to snap to the second transducer graphical element or a portion thereof in response to the path traced by the motion-based user input or the portion thereof being away from the second transducer graphical element but within a predetermined distance from the second transducer graphical element or a part thereof, and the second transducer graphical element includes the third location. In some embodiments, the path definition instructions may be configured to cause the graphical path to include the second transducer graphical element or a portion thereof in response to the path traced by the motion-based user input or a portion thereof being away from the second transducer graphical element but within a predetermined display region associated with the second transducer graphical element, and the second transducer graphical element includes the third location. In some embodiments, the path definition instructions may be configured to cause the graphical path to include the second transducer graphical element or a portion thereof in response to the path traced by the motion-based user input or a portion thereof passing through a predetermined display region associated with the second transducer graphical element, the predetermined display region including at least a part of the second transducer graphical element, and the second transducer graphical element not occupying all of the predetermined display region, and the second transducer graphical element includes the third location. In some embodiments, the path definition instructions may be configured to cause the graphical path to include the second transducer graphical element or a portion thereof in response to the path traced by the motion-based user input or a portion thereof being away from the second transducer graphical element but within a predetermined distance from the second transducer graphical element or a part thereof, and the second transducer graphical element includes the third location. In some embodiments, the path definition instructions may be configured to cause the path traced by the motion-based user input or a portion thereof to snap to a particular between graphical element of the at least one of the between graphical elements or a portion of the particular between graphical element in response to the path traced by the motion-based user input or the portion thereof being away from the particular between graphical element but within a predetermined distance from the particular between graphical element or a part thereof, and the particular between graphical element includes the third location. In some embodiments, the path definition instructions may be configured to cause the graphical path to include a particular between graphical element of the at least one of the between graphical elements or a portion of the particular between graphical element in response to the path traced by the motion-based user input or a portion thereof being away from the particular between graphical element but within a predetermined display region associated with the particular between graphical element, and the particular between graphical element includes the third location. In some embodiments, the path definition instructions may be configured to cause the graphical path to include a particular between graphical element of the at least one of the between graphical elements or a portion of the particular between graphical element in response to the path traced by the motion-based user input or a portion thereof passing through a predetermined display region associated with the particular between graphical element, the predetermined display region including at least a part of the particular between graphical element, and the particular between graphical element not occupying all of the predetermined display region, and the particular between graphical element includes the third location. In some embodiments, the path definition instructions may be configured to cause the graphical path to include a particular between graphical element of the at least one of the between graphical elements or a portion of the particular between graphical element in response to the path traced by the motion-based user input or a portion thereof being away from the particular between graphical element but within a predetermined distance from the particular between graphical element or a part thereof, and the particular between graphical element includes the third location. 
     In some embodiments, a portion of the transducer-based device system includes a plurality of transducers positionable in a cardiac chamber, and the display instructions may be configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. In some embodiments, the motion-based user input may indicate a selection of a group of the transducer graphical elements, and the program further includes de-selection instructions configured deselect at least one transducer graphical element in the group of the transducer graphical elements in response to a user-based retracing of a portion of the path traced by the motion-based user input. In some embodiments, the display instructions may be configured to cause the input-output device system to display a plurality of between graphical elements concurrently with the transducer graphical elements, the graphical path, and the graphical representation of the intra-cardiac information, each of the plurality of between graphical elements associated with a region of space between transducers of a respective one of a plurality of groups of adjacent ones of the transducers, each region of space not including any transducer. The path traced by the motion-based user input may indicate at least a selection of a group of the between graphical elements, and the program may further include de-selection instructions configured deselect at least one between graphical element in the group of the between graphical elements in response to a user-based retracing of a portion of the path traced by the motion-based user input. 
     In some embodiments, the first user input may include at least engaging the first user input element and the second user input may include at least disengaging the first user input element. In some embodiments, the first user input element may include a keyboard key, a mouse button, or a touch screen. In some embodiments, the first user input element may include a touch screen, and the engaging of the first user input element includes a registering of an initiation of user-contact with the touch screen, and the disengaging the first user input element includes a registering of a cessation of the user-contact with the touch screen. In some embodiments, the first user input may include at least engaging each of at least two user input elements of the input-output device system and the second user input may include at least disengaging at least one but not all of the at least two user input elements. 
     In some embodiments, the input-processing instructions may be configured to cause reception of a third user input other than the first and the second user input and the motion-based user input, and the path definition instructions may be configured to require reception of the third user input in order to at least enable definition of an elongate path portion of the graphical path according to the path traced by the motion-based user input, the elongate path portion including the third location. The input-processing instructions may be configured to cause a second user input element to be placed in a respective activated state in response to receiving the third user input, and the path definition instructions may be configured to require that the first user input element and the second user input element be in the respective activated states in order to at least enable definition of the elongate path portion of the graphical path according to the path traced by the motion-based user input. In some embodiments, the input-processing instructions may be configured to cause reception of a fourth user input other than the first, second, and third user inputs. The input-processing instructions may be configured to cause the second user input element to be placed in a respective deactivated state in response to receiving the fourth user input, and the path definition instructions may be configured to cause further definition of the elongate path portion of the graphical path according to the path traced by the motion-based user input even though the fourth user input has been received and the second user input element has, consequently, been placed in the respective deactivated state. 
     In some embodiments, the first user input precedes the motion-based user input. 
     In some embodiments, a portion of the transducer-based device system includes a plurality of transducers positionable in a cardiac chamber, and the display instructions may be configured to cause the input-output device system to display a plurality of transducer graphical elements concurrently with the graphical path and the graphical representation of the intra-cardiac information, each of the transducer graphical elements corresponding to at least part of a respective one of the plurality of transducers, a first spatial relationship between the displayed transducer graphical elements consistent with a second spatial relationship between the transducers. In some embodiments, the display instructions may be configured to cause a change in a visual characteristic of at least one of the transducer graphical elements when the display instructions cause the input-output device system to display the graphical path. The display instructions may be configured to cause a change in a visual characteristic of the at least one of the between graphical elements in response to the reception of the motion-based user input. In some embodiments, each of two or more of the plurality of transducers may include a respective electrode, and the transducer graphical elements corresponding to the two or more of the plurality of transducers each include a shape that is consistent with a shape of the respective electrode of a corresponding one of the two or more of the plurality of transducers. At least two of the transducer graphical elements corresponding to the two or more of the plurality of transducers may include different shapes. 
     In some embodiments, the graphical path may be displayed as including an interrupted form. In some embodiments, the graphical path may be displayed as including a circumferential path that surrounds a region of the graphical representation of the intra-cardiac information. In some embodiments, the graphical representation of the intra-cardiac information may include a graphical representation of at least a map indicating a spatial relationship between various anatomical features in a cardiac chamber. In some embodiments, the graphical representation of the intra-cardiac information may include a graphical representation of at least a map of values of at least one tissue electrical characteristic sensed by the transducer-based device system in a cardiac chamber. In some embodiments, the graphical representation of the intra-cardiac information may include a graphical representation of at least a map of intra-cardiac electrogram values originating from information provided by the transducer-based device system. In some embodiments, the graphical representation of the intra-cardiac information may include a graphical representation of at least a map of temperature distribution in a cardiac chamber. 
     In some embodiments, the input-output device system may include the transducer-based device system. The transducer-based device system may include a catheter-based device. A portion of the catheter-based device may include a structure selectively moveable between a delivery configuration in which the structure is sized to be percutaneously deliverable to a cardiac chamber and a deployed configuration in which the structure has a size too large to be percutaneously deliverable to the cardiac chamber. 
     In some embodiments, an elongate path portion of the graphical path is defined according to a path traced by the motion-based user input, the at least the third location located on the elongated path portion of the path. In some embodiments, the first location and the second location are the same location. In some embodiments, the display instructions may be configured to cause the input-output device system to graphically display changes in the intra-cardiac information at least during: a) reception of the first user input, b) reception of the second user input, c) reception of the motion-based user input, or any combination of a), b) and c). 
     In some embodiments, a transducer activation system may be summarized as including a data processing device system, an input-output device system communicatively connected to the data processing device system, and a memory device system communicatively connected to the data processing device system and storing a program executable by the data processing device system. The data processing device system may be configured by the program at least to: (a) cause the input-output device system to display a graphical representation of at least intra-cardiac information; (b) cause reception of first user input via the input-output device system and, in response to receiving the first user input, place a first user input element in an activated state; (c) cause reception of second user input via the input-output device system and, in response to receiving the second user input, place the first user input element in a deactivated state; and (d) cause reception of motion-based user input via the input-output device system. The data processing device system may be further configured by the program at least to cause definition of a graphical path including a first location on the graphical path defined according to a first parameter set associated with the first user input, a second location on the graphical path defined according to a second parameter set associated with the second user input, and at least a third location on the graphical path other than the first location and the second location defined according to a path traced by the motion-based user input. The data processing device system may be further configured by the program at least to cause activation of a transducer-based device system, initiated during or after completion of the definition of the graphical path, to transmit energy sufficient for tissue ablation along an ablation path corresponding to the graphical path. The data processing device system may be further configured by the program at least to cause the input-output device system to display the graphical path including the first location, the second location, and the at least the third location among the graphical representation of the intra-cardiac information. 
     In some embodiments, a transducer activation method may be executed by a data processing device system according to a program stored by a memory device system communicatively connected to the data processing device system, the data processing device system further communicatively connected to an input-output device system. The method may include the data processing device system (a) causing the input-output device system to display a graphical representation of at least intra-cardiac information; (b) causing reception of first user input via the input-output device system and, in response to receiving the first user input, placing a first user input element in an activated state; (c) causing reception of second user input via the input-output device system and, in response to receiving the second user input, placing the first user input element in a deactivated state; and (d) causing reception of motion-based user input via the input-output device system. The method may include the data processing device system causing definition of a graphical path including a first location on the graphical path defined according to a first parameter set associated with the first user input, a second location on the graphical path defined according to a second parameter set associated with the second user input, and at least a third location on the graphical path other than the first location and the second location defined according to a path traced by the motion-based user input. The method may include the data processing device system causing activation of a transducer-based device system, initiated during or after completion of the definition of the graphical path, to transmit energy sufficient for tissue ablation along an ablation path corresponding to the graphical path. The method may include the data processing device system causing the input-output device system to display the graphical path including the first location, the second location, and the at least the third location among the graphical representation of the intra-cardiac information. 
     In some embodiments, a computer-readable storage medium system may include one or more computer-readable storage mediums storing a program executable by one or more data processing devices of a data processing device system communicatively connected to an input-output device system. The program may include a display module configured to cause the input-output device system to display a graphical representation of at least intra-cardiac information. The program may include an input-processing module configured to: cause reception of first user input via the input-output device system and, in response to receiving the first user input, place a first user input element in an activated state; cause reception of second user input via the input-output device system and, in response to receiving the second user input, place the first user input element in a deactivated state; and cause reception of motion-based user input via the input-output device system. The program may include a path definition module configured to cause definition of a graphical path including a first location on the graphical path defined according to a first parameter set associated with the first user input, a second location on the graphical path defined according to a second parameter set associated with the second user input, and at least a third location on the graphical path other than the first location and the second location defined according to a path traced by the motion-based user input. The program may include an activation module configured to cause activation of a transducer-based device system, initiated during or after completion of the definition of the graphical path, to transmit energy sufficient for tissue ablation along an ablation path corresponding to the graphical path. The display module may be configured to the cause the input-output device system to display the graphical path including the first location, the second location, and the at least the third location among the graphical representation of the intra-cardiac information. 
     In some embodiments, a graphical path display device system may be summarized as including a data processing device system, an input-output device system communicatively connected to the data processing device system, and a memory device system communicatively connected to the data processing device system and storing a program executable by the data processing device system. The program may include input-processing instructions configured to: cause reception of first user input via the input-output device system and, in response to receiving the first user input, place a first user input element in an activated state; cause reception of motion-based user input via the input-output device system; and cause reception of second user input via the input-output device system and, in response to receiving the second user input, place the first user input element in a deactivated state. The program may include path definition instructions configured to cause definition of a graphical path including a plurality of graphical-path-elements, the path definition instructions configured to cause initiation of the definition of the graphical path in response to receiving the first user input, to cause generation of an interim-definition of the graphical path according to a path traced by the motion-based user input, and to cause conclusion of the definition of the graphical path in response to receiving the second user input, each of the respective graphical-path-elements associated with a respective display region including at least a portion of the respective graphical-path-element, but the respective graphical-path-element not occupying all of the respective display region. The path definition instructions may be configured to cause the interim-definition of the graphical path to be generated to identify the plurality of graphical-path-elements as those whose display regions have been passed through by at least some of the path traced by the motion-based user input. The program may include display instructions configured to cause the input-output device system to display, prior to the conclusion of the definition of the graphical path, a graphical representation of the graphical path including the identified plurality of graphical-path-elements consistent with the interim-definition of the graphical path. The path definition instructions may be configured to cause generation of a modified-interim-definition of the graphical path prior to the conclusion of the definition of the graphical path to exclude at least one of the identified plurality of graphical-path-elements in response to a user-based retracing of a portion of the path traced by the motion-based user input, the excluded at least one of the identified plurality of graphical-path-elements being those whose display regions have been passed through by the retracing of the portion of the path traced by the motion-based user input. The display instructions may be configured to cause the input-output device system to change the display of the graphical representation of the graphical path to account for the excluded at least one of the identified plurality of graphical-path-elements consistent with the modified-interim-definition of the graphical path prior to the conclusion of the definition of the graphical path. 
     In some embodiments, the portion of the path traced by the motion-based user input and the portion of the path retraced by the motion-based user input pass through the same ones of the display regions. In some embodiments, the portion of the path traced by the motion-based user input and the portion of the path retraced by the motion-based user input pass through the same ones of the display regions in a reverse order that the same ones of the display regions were passed through during the interim-definition of the graphical path. 
     In some embodiments, a graphical path display device system may be summarized as including a data processing device system, an input-output device system communicatively connected to the data processing device system, and a memory device system communicatively connected to the data processing device system and storing a program executable by the data processing device system. The data processing device system may be configured by the program at least to: cause reception of first user input via the input-output device system and, in response to receiving the first user input, place a first user input element in an activated state; cause reception of motion-based user input via the input-output device system; and cause reception of second user input via the input-output device system and, in response to receiving the second user input, place the first user input element in a deactivated state. The data processing device system may be further configured by the program at least to: cause definition of a graphical path including a plurality of graphical-path-elements; cause initiation of the definition of the graphical path in response to receiving the first user input, to cause generation of an interim-definition of the graphical path according to a path traced by the motion-based user input; and cause conclusion of the definition of the graphical path in response to receiving the second user input. Each of the respective graphical-path-elements may be associated with a respective display region including at least a portion of the respective graphical-path-element, but the respective graphical-path-element not occupying all of the respective display region. The data processing device system may be further configured by the program at least to cause the interim-definition of the graphical path to be generated to identify the plurality of graphical-path-elements as those whose display regions have been passed through by at least some of the path traced by the motion-based user input. The data processing device system may be further configured by the program at least to cause the input-output device system to display, prior to the conclusion of the definition of the graphical path, a graphical representation of the graphical path including the identified plurality of graphical-path-elements consistent with the interim-definition of the graphical path. The data processing device system may be further configured by the program at least to cause generation of a modified-interim-definition of the graphical path prior to the conclusion of the definition of the graphical path to exclude at least one of the identified plurality of graphical-path-elements in response to a user-based retracing of a portion of the path traced by the motion-based user input. The excluded at least one of the identified plurality of graphical-path-elements may be those whose display regions have been passed through by the retracing of the portion of the path traced by the motion-based user input. The data processing device system may be further configured by the program at least to cause the input-output device system to change the display of the graphical representation of the graphical path to account for the excluded at least one of the identified plurality of graphical-path-elements consistent with the modified-interim-definition of the graphical path prior to the conclusion of the definition of the graphical path. 
     In some embodiments, a graphical path display method may be executed by a data processing device system according to a program stored by a memory device system communicatively connected to the data processing device system, the data processing device system further communicatively connected to an input-output device system. The method may include the data processing device system receiving first user input via the input-output device system and, in response to receiving the first user input, placing a first user input element in an activated state; receiving motion-based user input via the input-output device system; and receiving second user input via the input-output device system and, in response to receiving the second user input, placing the first user input element in a deactivated state. The method may further include the data processing device system causing definition of a graphical path including a plurality of graphical-path-elements; causing initiation of the definition of the graphical path in response to receiving the first user input, to cause generation of an interim-definition of the graphical path according to a path traced by the motion-based user input; and causing conclusion of the definition of the graphical path in response to receiving the second user input. Each of the respective graphical-path-elements may be associated with a respective display region including at least a portion of the respective graphical-path-element, but the respective graphical-path-element not occupying all of the respective display region. The method may further include the data processing device system causing the interim-definition of the graphical path to be generated to identify the plurality of graphical-path-elements as those whose display regions have been passed through by at least some of the path traced by the motion-based user input. The method may further include the data processing device system causing the input-output device system to display, prior to the conclusion of the definition of the graphical path, a graphical representation of the graphical path including the identified plurality of graphical-path-elements consistent with the interim-definition of the graphical path. The method may further include the data processing device system causing generation of a modified-interim-definition of the graphical path prior to the conclusion of the definition of the graphical path to exclude at least one of the identified plurality of graphical-path-elements in response to a user-based retracing of a portion of the path traced by the motion-based user input. The excluded at least one of the identified plurality of graphical-path-elements may be those whose display regions have been passed through by the retracing of the portion of the path traced by the motion-based user input. The method may further include the data processing device system causing the input-output device system to change the display of the graphical representation of the graphical path to account for the excluded at least one of the identified plurality of graphical-path-elements consistent with the modified-interim-definition of the graphical path prior to the conclusion of the definition of the graphical path. 
     In some embodiments, a computer-readable storage medium system may include one or more computer-readable storage mediums storing a program executable by one or more data processing devices of a data processing device system communicatively connected to an input-output device system. The program may include an input-processing module configured to: cause reception of first user input via the input-output device system and, in response to receiving the first user input, place a first user input element in an activated state; cause reception of motion-based user input via the input-output device system; and cause reception of second user input via the input-output device system and, in response to receiving the second user input, place the first user input element in a deactivated state. The program may include a path definition module configured to cause definition of a graphical path including a plurality of graphical-path-elements, the path definition module configured to cause initiation of the definition of the graphical path in response to receiving the first user input, to cause generation of an interim-definition of the graphical path according to a path traced by the motion-based user input, and to cause conclusion of the definition of the graphical path in response to receiving the second user input, each of the respective graphical-path-elements associated with a respective display region including at least a portion of the respective graphical-path-element, but the respective graphical-path-element not occupying all of the respective display region. The path definition module may be configured to cause the interim-definition of the graphical path to be generated to identify the plurality of graphical-path-elements as those whose display regions have been passed through by at least some of the path traced by the motion-based user input. The program may include a display module configured to cause the input-output device system to display, prior to the conclusion of the definition of the graphical path, a graphical representation of the graphical path including the identified plurality of graphical-path-elements consistent with the interim-definition of the graphical path. The path definition module may be configured to cause generation of a modified-interim-definition of the graphical path prior to the conclusion of the definition of the graphical path to exclude at least one of the identified plurality of graphical-path-elements in response to a user-based retracing of a portion of the path traced by the motion-based user input, the excluded at least one of the identified plurality of graphical-path-elements being those whose display regions have been passed through by the retracing of the portion of the path traced by the motion-based user input. The display module may be configured to cause the input-output device system to change the display of the graphical representation of the graphical path to account for the excluded at least one of the identified plurality of graphical-path-elements consistent with the modified-interim-definition of the graphical path prior to the conclusion of the definition of the graphical path. 
     Various systems may include combinations and subsets of all the systems summarized above or otherwise described herein. 
     Any of the features of any of the methods discussed herein may be combined with any of the other features of any of the methods discussed herein. In addition, a computer program product may be provided that comprises program code portions for performing some or all of any of the methods and associated features thereof described herein, when the computer program product is executed by a computer or other computing device or device system. Such a computer program product may be stored on one or more computer-readable storage mediums. 
     In some embodiments, each of any or all of the computer-readable storage mediums or medium systems described herein is a non-transitory computer-readable storage medium or medium system including one or more non-transitory computer-readable storage mediums storing the respective program(s). 
     Further, any or all of the methods and associated features thereof discussed herein may be implemented by all or part of a device system or apparatus, such as any of those described herein. 
    
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
       It is to be understood that the attached drawings are for purposes of illustrating aspects of various embodiments and may include elements that are not to scale. 
         FIG. 1  includes a schematic representation of a transducer-activation system according to various example embodiments, the transducer-activation system including a data processing device system, an input-output device system, and a memory device system. 
         FIG. 2  includes a cutaway diagram of a heart showing a transducer-based device percutaneously placed in a left atrium of the heart according to various example embodiments. 
         FIG. 3A  includes a partially schematic representation of a medical system according to various example embodiments, the medical system including a data processing device system, an input-output device system, a memory device system, and a transducer-based device having a plurality of transducers and an expandable structure shown in a delivery or unexpanded configuration. 
         FIG. 3B  includes a portion of the medical system of  FIG. 3A  as viewed from a different viewing direction. 
         FIG. 3C  includes the representation of the medical system of  FIGS. 3A and 3B  with the expandable structure shown in a deployed or expanded configuration. 
         FIG. 3D  includes a portion of the medical system of  FIG. 3C  as viewed from a different viewing direction. 
         FIG. 4  includes a schematic representation of a transducer-based device that includes a flexible circuit structure according to various example embodiments. 
         FIG. 5A  includes a graphical interface providing a graphical representation according to various example embodiments, a depiction of at least a portion of a transducer-based device including a plurality of transducer graphical elements depicted among the graphical representation. 
         FIG. 5B  includes the graphical interface of  FIG. 5A  with the portion of the transducer-based device depicted as viewed from a different viewing direction than that shown in  FIG. 5A . 
         FIG. 5C  includes the graphical representation provided by the graphical interface of  FIG. 5A  with the addition of various between graphical elements positioned between various ones of the transducer graphical elements. 
         FIG. 5D  includes the graphical representation provided by the graphical interface of  FIG. 5C  but with the portion of the transducer-based device depicted as viewed from a different viewing direction than that shown in  FIG. 5C . 
         FIG. 5E  includes the graphical representation provided by the graphical interface of  FIGS. 5C and 5D  depicted with one particular form of two-dimensional representation in accordance with various example embodiments. 
         FIG. 5F  includes the graphical representation provided by the graphical interface of  FIGS. 5A and 5B  depicted with another particular form of two-dimensional representation in accordance with various example embodiments. 
         FIG. 5G  includes the graphical representation provided by the graphical interface of  FIG. 5E  with the addition of various intra-cardiac information including various regions determined on the basis of flow data. 
         FIG. 5H  includes the graphical representation provided by the graphical interface of  FIG. 5E  with the addition of various intra-cardiac information including various regions determined on the basis of electrical data. 
         FIGS. 5I, 5J and 5K  include the graphical representation provided by the graphical interface of  FIG. 5E  including changes in intra-cardiac information occurring during three successive times during a display period. 
         FIGS. 5L, 5M, 5N, 5O, 5P and 5Q  show a sequence in which a plurality of portions of a graphical path are selected according to the sequence, each selected portion of the graphical path indicating a selection of at least one graphical element or at least one graphical-path-element. 
         FIG. 5R  includes the graphical representation provided by the graphical interface of  FIG. 5Q  but depicted three-dimensionally according to various example embodiments. 
         FIG. 5S  shows a selection of particular transducer graphical elements made in response of a first motion-based user input according to various example embodiments. 
         FIG. 5T  shows a selection of the particular transducer graphical elements of  FIG. 5S  but selected in response of a second motion-based user input according to various example embodiments. 
         FIG. 5U  shows a set of graphical elements or graphical-path-elements selected according to an interim-path definition of a graphical path. 
         FIG. 5V  shows at least some of the graphical elements or graphical-path-elements selected in  FIG. 5U  deselected according to a modified-interim-path definition of the graphical path. 
         FIG. 5W  shows each of the graphical elements or graphical-path-elements selected in  FIG. 5U  remaining selected when a portion of the graphical path is not retraced through the respective display regions of various ones of the graphical elements or graphical-path-elements. 
         FIG. 5X  illustrates the graphical representation provided by the graphical interface of  FIG. 5Q  but with change in visual characteristic set of the selected graphical elements or selected graphical-path-elements. 
         FIG. 6A  includes a block diagram of a method for activating transducers of a transducer-based device according to some example embodiments. 
         FIG. 6B  includes an exploded view of some of the blocks of the block diagram of  FIG. 6A  according to some example embodiments. 
         FIG. 6C  includes an exploded view of some of the blocks of  FIG. 6A  according to some example embodiments. 
         FIG. 6D  includes an exploded view of some of the blocks of  FIG. 6A  according to some example embodiments. 
         FIG. 6E  includes an exploded view of some of the blocks of  FIG. 6A  according to some example embodiments. 
         FIG. 6F  includes an exploded view of some of the blocks of  FIG. 6A  according to some example embodiments. 
         FIG. 7  includes a block diagram of a method for graphical element repositioning according to some example embodiments. 
         FIGS. 8A-8C  illustrate a graphical representation according to various example embodiments illustrating at least some aspects of the method of  FIG. 7 , a depiction of at least a portion of a transducer-based device including a plurality of transducer graphical elements depicted among the graphical representation of  FIGS. 8A-8C . 
     
    
    
     DETAILED DESCRIPTION 
     In the following description, certain specific details are set forth in order to provide a thorough understanding of various embodiments of the invention. However, one skilled in the art will understand that the invention may be practiced at a more general level without these details. In other instances, well-known structures have not been shown or described in detail to avoid unnecessarily obscuring descriptions of various embodiments of the invention. 
     Any reference throughout this specification to “one embodiment” or “an embodiment” or “an example embodiment” or “an illustrated embodiment” or “a particular embodiment” and the like means that a particular feature, structure or characteristic described in connection with the embodiment is included in at least one embodiment. Thus, any appearance of the phrase “in one embodiment” or “in an embodiment” or “in an example embodiment” or “in this illustrated embodiment” or “in this particular embodiment” or the like in this specification is not necessarily all referring to one embodiment or a same embodiment. Furthermore, the particular features, structures or characteristics of different embodiments may be combined in any suitable manner to form one or more other embodiments. 
     It is noted that, unless otherwise explicitly noted or required by context, the word “or” is used in this disclosure in a non-exclusive sense. In addition, unless otherwise explicitly noted or required by context, the word “set” is intended to mean one or more, and the word “subset” is intended to mean a set having the same or fewer elements of those present in the subset&#39;s parent or superset. 
     Further, the phrase “at least” is used herein at times to emphasize the possibility that other elements can exist besides those explicitly listed. However, unless otherwise explicitly noted (such as by the use of the term “only”) or required by context, non-usage herein of the phrase “at least” does not exclude the possibility that other elements can exist besides those explicitly listed. For example, the phrase, “activation of at least transducer A” includes activation of transducer A by itself, as well as activation of transducer A and activation of one or more other additional elements besides transducer A. In the same manner, the phrase, “activation of transducer A” includes activation of transducer A by itself, as well as activation of transducer A and activation of one or more other additional elements besides transducer A. However, the phrase, “activation of only transducer A” includes only activation of transducer A, and excludes activation of any other transducers besides transducer A. 
     The word “ablation” as used in this disclosure should be understood to include any disruption to certain properties of tissue. Most commonly, the disruption is to the electrical conductivity and is achieved by transferring thermal energy, which can be generated with resistive or radio-frequency (RF) techniques for example. Other properties, such as mechanical or chemical, and other means of disruption, such as optical, are included when the term “ablation” is used. 
     The word “fluid” as used in this disclosure should be understood to include any fluid that can be contained within a bodily cavity or can flow into or out of, or both into and out of a bodily cavity via one or more bodily openings positioned in fluid communication with the bodily cavity. In the case of cardiac applications, fluid such as blood will flow into and out of various intra-cardiac cavities (e.g., a left atrium or right atrium). 
     The words “bodily opening” as used in this disclosure should be understood to include a naturally occurring bodily opening or channel or lumen; a bodily opening or channel or lumen formed by an instrument or tool using techniques that can include, but are not limited to, mechanical, thermal, electrical, chemical, and exposure or illumination techniques; a bodily opening or channel or lumen formed by trauma to a body; or various combinations of one or more of the above. Various elements having respective openings, lumens or channels and positioned within the bodily opening (e.g., a catheter sheath) may be present in various embodiments. These elements may provide a passageway through a bodily opening for various devices employed in various embodiments. 
     The words “bodily cavity” as used in this disclosure should be understood to mean a cavity in a body. The bodily cavity may be a cavity or chamber provided in a bodily organ (e.g., an intra-cardiac cavity of a heart). 
     The word “tissue” as used in some embodiments in this disclosure should be understood to include any surface-forming tissue that is used to form a surface of a body or a surface within a bodily cavity, a surface of an anatomical feature or a surface of a feature associated with a bodily opening positioned in fluid communication with the bodily cavity. The tissue can include part or all of a tissue wall or membrane that defines a surface of the bodily cavity. In this regard, the tissue can form an interior surface of the cavity that surrounds a fluid within the cavity. In the case of cardiac applications, tissue can include tissue used to form an interior surface of an intra-cardiac cavity such as a left atrium or right atrium. In some embodiments, the word tissue can refer to a tissue having fluidic properties (e.g., blood) and may be referred to as fluidic tissue. 
     The term “transducer” as used in this disclosure should be interpreted broadly as any device capable of distinguishing between fluid and tissue, sensing temperature, creating heat, ablating tissue, sensing, sampling or measuring electrical activity of a tissue surface (e.g., sensing, sampling or measuring intra-cardiac electrograms, or sensing, sampling or measuring intra-cardiac voltage data), stimulating tissue, or any combination thereof. A transducer can convert input energy of one form into output energy of another form. Without limitation, a transducer can include an electrode that functions as, or as part of, a sensing device included in the transducer, an energy delivery device included in the transducer, or both a sensing device and an energy delivery device included in the transducer. A transducer may be constructed from several parts, which may be discrete components or may be integrally formed. In this regard, although transducers, electrodes, or both transducers and electrodes are referenced with respect to various embodiments, it is understood that other transducers or transducer elements may be employed in other embodiments. It is understood that a reference to a particular transducer in various embodiments may also imply a reference to an electrode, as an electrode may be part of the transducer as shown, e.g., with  FIG. 4  discussed below. 
     The term “activation” as used in this disclosure should be interpreted broadly as making active a particular function as related to various transducers disclosed in this disclosure. Particular functions may include, but are not limited to, tissue ablation, sensing, sampling or measuring electrophysiological activity (e.g., sensing, sampling or measuring intra-cardiac electrogram information or sensing, sampling or measuring intra-cardiac voltage data), sensing, sampling or measuring temperature and sensing, sampling or measuring electrical characteristics (e.g., tissue impedance or tissue conductivity). For example, in some embodiments, activation of a tissue ablation function of a particular transducer is initiated by causing energy sufficient for tissue ablation from an energy source device system to be delivered to the particular transducer. Alternatively, in this example, the activation can be deemed to be initiated when the particular transducer causes a temperature sufficient for the tissue ablation due to the energy provided by the energy source device system. Also in this example, the activation can last for a duration of time concluding when the ablation function is no longer active, such as when energy sufficient for the tissue ablation is no longer provided to the particular transducer. Alternatively, in this example, the activation period can be deemed to be concluded when the temperature caused by the particular transducer is below the temperature sufficient for the tissue ablation. In some contexts, however, the word “activation” can merely refer to the initiation of the activating of a particular function, as opposed to referring to both the initiation of the activating of the particular function and the subsequent duration in which the particular function is active. In these contexts, the phrase or a phrase similar to “activation initiation” may be used. 
     The term “program” in this disclosure should be interpreted as a set of instructions or modules that can be executed by one or more components in a system, such a controller system or data processing device system, in order to cause the system to perform one or more operations. The set of instructions or modules can be stored by any kind of memory device, such as those described subsequently with respect to the memory device system  130  or  330  shown in  FIGS. 1 and 3 , respectively. In addition, this disclosure sometimes describes that the instructions or modules of a program are configured to cause the performance of a function. The phrase “configured to” in this context is intended to include at least (a) instructions or modules that are presently in a form executable by one or more data processing devices to cause performance of the function (e.g., in the case where the instructions or modules are in a compiled and unencrypted form ready for execution), and (b) instructions or modules that are presently in a form not executable by the one or more data processing devices, but could be translated into the form executable by the one or more data processing devices to cause performance of the function (e.g., in the case where the instructions or modules are encrypted in a non-executable manner, but through performance of a decryption process, would be translated into a form ready for execution). The word “module” can be defined as a set of instructions. In some instances, this disclosure describes that the instructions or modules of a program perform a function. Such descriptions should be deemed to be equivalent to describing that the instructions or modules are configured to cause the performance of the function. 
     Each of the phrases “derived from” or “derivation of” or “derivation thereof” or the like is intended to mean to come from at least some part of a source, be created from at least some part of a source, or be developed as a result of a process in which at least some part of a source forms an input. For example, a data set derived from some particular portion of data may include at least some part of the particular portion of data, or may be created from at least part of the particular portion of data, or may be developed in response to a data manipulation process in which at least part of the particular portion of data forms an input. In some embodiments, a data set may be derived from a subset of the particular portion of data. In some embodiments, the particular portion of data is analyzed to identify a particular subset of the particular portion of data, and a data set is derived from the subset. In various ones of these embodiments, the subset may include some, but not all, of the particular portion of data. In some embodiments, changes in least one part of a particular portion of data may result in changes in a data set derived at least in part from the particular portion of data. 
     In this regard, each of the phrases “derived from” or “derivation of” or “derivation thereof” or the like is used herein at times merely to emphasize the possibility that such data or information may be modified or subject to one or more operations. For example, if a device generates first data for display, the process of converting the generated first data into a format capable of being displayed may alter the first data. This altered form of the first data may be considered a derivative or derivation of the first data. For instance, the first data may be a one-dimensional array of numbers, but the display of the first data may be a color-coded bar chart representing the numbers in the array. For another example, if the above-mentioned first data is transmitted over a network, the process of converting the first data into a format acceptable for network transmission or understanding by a receiving device may alter the first data. As before, this altered form of the first data may be considered a derivative or derivation of the first data. For yet another example, generated first data may undergo a mathematical operation, a scaling, or a combining with other data to generate other data that may be considered derived from the first data. In this regard, it can be seen that data is commonly changing in form or being combined with other data throughout its movement through one or more data processing device systems, and any reference to information or data herein is intended to include these and like changes, regardless of whether or not the phrase “derived from” or “derivation of” or “derivation thereof” or the like is used in reference to the information or data. As indicated above, usage of the phrase “derived from” or “derivation of” or “derivation thereof” or the like merely emphasizes the possibility of such changes. Accordingly, the addition of or deletion of the phrase “derived from” or “derivation of” or “derivation thereof” or the like should have no impact on the interpretation of the respective data or information. For example, the above-discussed color-coded bar chart may be considered a derivative of the respective first data or may be considered the respective first data itself. 
     The word “device” and the phrase “device system” both are intended to include one or more physical devices or sub-devices (e.g., pieces of equipment) that interact to perform one or more functions, regardless of whether such devices or sub-devices are located within a same housing or different housings. In this regard, for example, this disclosure sometimes refers to a “catheter device”, but such catheter device could equivalently be referred to as a “catheter device system”. The word “device” may equivalently be referred to as a “device system”. 
     In some contexts, the term “adjacent” is used in this disclosure to refer to objects that do not have another substantially similar object between them. For example, object A and object B could be considered adjacent if they contact each other (and, thus, it could be considered that no other object is between them), or if they do not contact each other, but no other object that is substantially similar to object A, object B, or both objects A and B, depending on context, is between them. 
     Further, the phrase “in response to” may be is used in this disclosure. For example, this phrase might be used in the following context, where an event A occurs in response to the occurrence of an event B. In this regard, such phrase can include, for example, that at least the occurrence of the event B causes or triggers the event A. 
     Further, the phrase “graphical representation” used herein is intended to include a visual representation presented via a display device and may include computer-generated text, graphics, animations, or one or more combinations thereof, which may include one or more visual representations originally generated, at least in part, by an image-capture device, such as fluoroscopy images, CT scan images, MM images, etc. 
     Further still, example methods are described herein with respect to  FIG. 6 . Such figures are described to include blocks associated with computer-executable instructions. It should be noted that the respective instructions associated with any such blocks herein need not be separate instructions and may be combined with other instructions to form a combined instruction set. The same set of instructions may be associated with more than one block. In this regard, the block arrangement shown in each of the method figures herein is not limited to an actual structure of any program or set of instructions or required ordering of method tasks, and such method figures, according to some embodiments, merely illustrate the tasks that instructions are configured to perform, for example, upon execution by a data processing device system in conjunction with interactions with one or more other devices or device systems. 
       FIG. 1  schematically illustrates a special purpose transducer selection, activation, or selection and activation system  100  that may be employed to at least select, control, activate, or monitor a function or activation of one or more transducers, according to some embodiments. The system  100  includes a data processing device system  110 , an input-output device system  120 , and a processor-accessible memory device system  130 . The processor-accessible memory device system  130  and the input-output device system  120  are communicatively connected to the data processing device system  110 . 
     The data processing device system  110  includes one or more data processing devices that implement or execute, in conjunction with other devices, such as those in the system  100 , the methods of various embodiments, including the example methods of  FIG. 6  described herein. Each of the phrases “data processing device”, “data processor”, “processor”, and “computer” is intended to include any data processing device, such as a central processing unit (CPU), a desktop computer, a laptop computer, a mainframe computer, a tablet computer, a personal digital assistant, a cellular phone, and any other device for processing data, managing data, or handling data, whether implemented with electrical, magnetic, optical, biological components, or otherwise. 
     The memory device system  130  includes one or more processor-accessible memory devices configured to store information, including the information needed to execute the methods of various embodiments, including the example methods of  FIGS. 6A-6F and 7  described herein. The memory device system  130  may be a distributed processor-accessible memory device system including multiple processor-accessible memory devices communicatively connected to the data processing device system  110  via a plurality of computers and/or devices. On the other hand, the memory device system  130  need not be a distributed processor-accessible memory system and, consequently, may include one or more processor-accessible memory devices located within a single data processing device. 
     Each of the phrases “processor-accessible memory” and “processor-accessible memory device” is intended to include any processor-accessible data storage device, whether volatile or nonvolatile, electronic, magnetic, optical, or otherwise, including but not limited to, registers, floppy disks, hard disks, Compact Discs, DVDs, flash memories, ROMs, and RAMs. In some embodiments, each of the phrases “processor-accessible memory” and “processor-accessible memory device” is intended to include a non-transitory computer-readable storage medium. And in some embodiments, the memory device system  130  can be considered a non-transitory computer-readable storage medium system. 
     The phrase “communicatively connected” is intended to include any type of connection, whether wired or wireless, between devices, data processors, or programs between which data may be communicated. Further, the phrase “communicatively connected” is intended to include a connection between devices or programs within a single data processor, a connection between devices or programs located in different data processors, and a connection between devices not located in data processors at all. In this regard, although the memory device system  130  is shown separately from the data processing device system  110  and the input-output device system  120 , one skilled in the art will appreciate that the memory device system  130  may be located completely or partially within the data processing device system  110  or the input-output device system  120 . Further in this regard, although the input-output device system  120  is shown separately from the data processing device system  110  and the memory device system  130 , one skilled in the art will appreciate that such system may be located completely or partially within the data processing system  110  or the memory device system  130 , depending upon the contents of the input-output device system  120 . Further still, the data processing device system  110 , the input-output device system  120 , and the memory device system  130  may be located entirely within the same device or housing or may be separately located, but communicatively connected, among different devices or housings. In the case where the data processing device system  110 , the input-output device system  120 , and the memory device system  130  are located within the same device, the system  100  of  FIG. 1  can be implemented by a single application-specific integrated circuit (ASIC) in some embodiments. 
     The input-output device system  120  may include a mouse, a keyboard, a touch screen, another computer, or any device or combination of devices from which a desired selection, desired information, instructions, or any other data is input to the data processing device system  110 . The input-output device system  120  may include a user-activatable control system that is responsive to a user action. The user-activatable control system may include at least one user input element, such as, for example, a mouse button, a keyboard key, a touch screen, or any other user input element that may be placed into an activated or deactivated state on the basis of a particular user action, such as, for example, the clicking/releasing of a mouse button, the pressing/releasing of a keyboard key, or the contacting of/separating from a touch screen. Such user input elements are described in more detail below. The input-output device system  120  may include any suitable interface for receiving information, instructions or any data from other devices and systems described in various ones of the embodiments. In this regard, the input-output device system  120  may include various ones of other systems described in various embodiments. For example, the input-output device system  120  may include at least a portion a transducer-based device system or catheter-based device. The phrase “transducer-based device system” is intended to include one or more physical systems that include various transducers. The phrase “transducer-based device” is intended to include one or more physical devices that include various transducers. 
     The input-output device system  120  also may include an image generating device system, a display device system, a processor-accessible memory device, or any device or combination of devices to which information, instructions, or any other data is output by the data processing device system  110 . In this regard, if the input-output device system  120  includes a processor-accessible memory device, such memory device may or may not form part or all of the memory device system  130 . The input-output device system  120  may include any suitable interface for outputting information, instructions or data to other devices and systems described in various ones of the embodiments. In this regard, the input-output device system  120  may include various other devices or systems described in various embodiments. In some embodiments, the input-output device system  120  may include one or more display devices that display one or more of the graphical interfaces of  FIG. 5 , described below. 
     Various embodiments of transducer-based devices are described herein. Some of the described devices are medical devices that are percutaneously or intravascularly deployed. Some of the described devices are moveable between a delivery or unexpanded configuration (e.g.,  FIGS. 3A, 3B  discussed below) in which a portion of the device is sized for passage through a bodily opening leading to a bodily cavity, and an expanded or deployed configuration (e.g.,  FIGS. 3C, 3D  discussed below) in which the portion of the device has a size too large for passage through the bodily opening leading to the bodily cavity. An example of an expanded or deployed configuration is when the portion of the transducer-based device is in its intended-deployed-operational state inside the bodily cavity. Another example of the expanded or deployed configuration is when the portion of the transducer-based device is being changed from the delivery configuration to the intended-deployed-operational state to a point where the portion of the device now has a size too large for passage through the bodily opening leading to the bodily cavity. 
     In some example embodiments, the device includes transducers that sense characteristics (e.g., convective cooling, permittivity, force) that distinguish between fluid, such as a fluidic tissue (e.g., blood), and tissue forming an interior surface of the bodily cavity. Such sensed characteristics can allow a medical system to map the cavity, for example, using positions of openings or ports into and out of the cavity to determine a position or orientation (e.g., pose), or both of the portion of the device in the bodily cavity. In some example embodiments, the described devices are capable of ablating tissue in a desired pattern within the bodily cavity. 
     In some example embodiments, the devices are capable of sensing various cardiac functions (e.g., electrophysiological activity including intra-cardiac voltages). In some example embodiments, the devices are capable of providing stimulation (e.g., electrical stimulation) to tissue within the bodily cavity. Electrical stimulation may include pacing. 
       FIG. 2  is a representation of a transducer-based device  200  useful in investigating or treating a bodily organ, for example, a heart  202 , according to one example embodiment. 
     Transducer-based device  200  can be percutaneously or intravascularly inserted into a portion of the heart  202 , such as an intra-cardiac cavity like left atrium  204 . In this example, the transducer-based device  200  is part of a catheter  206  inserted via the inferior vena cava  208  and penetrating through a bodily opening in transatrial septum  210  from right atrium  212 . (In this regard, transducer-based devices or device systems described herein that include a catheter may also be referred to as catheter devices or catheter-based devices, in some embodiments.) In other embodiments, other paths may be taken. 
     Catheter  206  includes an elongated flexible rod or shaft member appropriately sized to be delivered percutaneously or intravascularly. Various portions of catheter  206  may be steerable. Catheter  206  may include one or more lumens. The lumen(s) may carry one or more communications or power paths, or both. For example, the lumens(s) may carry one or more electrical conductors  216  (two shown). Electrical conductors  216  provide electrical connections to transducer-based device  200  that are accessible externally from a patient in which the transducer-based device  200  is inserted. 
     Transducer-based device  200  includes a frame or structure  218  which assumes an unexpanded configuration for delivery to left atrium  204 . Structure  218  is expanded (e.g., shown in a deployed or expanded configuration in  FIG. 2 ) upon delivery to left atrium  204  to position a plurality of transducers  220  (three called out in  FIG. 2 ) proximate the interior surface formed by tissue  222  of left atrium  204 . In some embodiments, at least some of the transducers  220  are used to sense a physical characteristic of a fluid (e.g., blood) or tissue  222 , or both, that may be used to determine a position or orientation (e.g., pose), or both, of a portion of a device  200  within, or with respect to left atrium  204 . For example, transducers  220  may be used to determine a location of pulmonary vein ostia or a mitral valve  226 , or both. In some embodiments, at least some of the transducers  220  may be used to selectively ablate portions of the tissue  222 . For example, some of the transducers  220  may be used to ablate a pattern around the bodily openings, ports or pulmonary vein ostia, for instance to reduce or eliminate the occurrence of atrial fibrillation. In some embodiments, at least some of the transducers  220  are used to ablate cardiac tissue. In some embodiments, at least some of the transducers  220  are used to sense or sample intra-cardiac voltage data or sense or sample intra-cardiac electrogram data. In some embodiments, at least some of the transducers  220  are used to sense or sample intra-cardiac voltage data or sense or sample intra-cardiac electrogram data while at least some of the transducers  220  are concurrently ablating cardiac tissue. In some embodiments, at least one of the sensing or sampling transducers  220  is provided by at least one of the ablating transducers  220 . In some embodiments, at least a first one of the transducers  220  senses or samples intra-cardiac voltage data or intra-cardiac electrogram data at a location at least proximate to a tissue location ablated by at least a second one of the transducers  220 . In some embodiments, the first one of the transducers  220  is other than the second one of the transducers  220 . 
       FIGS. 3A, 3B, 3C and 3D  (collectively,  FIG. 3 ) include a transducer-based device system (e.g., a portion thereof shown schematically) that includes a transducer-based device  300  according to some embodiments. Transducer-based device  300  includes a plurality of elongate members  304  (not all of the elongate members called out in each of  FIGS. 3A, 3B, 3C and 3D ) and a plurality of transducers  306  (not all of the transducers called out in  FIG. 3 ) (some of the transducers  306  called out in  FIG. 3D  as  306   a ,  306   b ,  306   c ,  306   d ,  306   e  and  306   f ).  FIG. 3B  includes a representation of a portion of the transducer-based device  300  shown in  FIG. 3A  but as viewed from a different viewing direction.  FIG. 3D  includes a representation of a portion of the transducer-based device  300  shown in  FIG. 3C  but as viewed from a different viewing direction. It is noted that for clarity of illustration, all the elongate members shown in  FIGS. 3C and 3D  are not represented in  FIGS. 3A and 3B . As will become apparent, the plurality of transducers  306  is positionable within a bodily cavity. For example, in some embodiments, the transducers  306  are able to be positioned in a bodily cavity by movement into, within, or into and within the bodily cavity, with or without a change in a configuration of the plurality of transducers  306 . In some embodiments, the plurality of transducers  306  are arranged to form a two- or three-dimensional distribution, grid or array of the transducers capable of mapping, ablating or stimulating an inside surface of a bodily cavity or lumen without requiring mechanical scanning. As shown, for example, in  FIGS. 3A and 3B , the plurality of transducers  306  are arranged in a distribution receivable in a bodily cavity. In various ones of the  FIG. 3 , each of at least some of transducers  306  includes a respective electrode  315  (not all of the electrode  315  called out in each of the  FIG. 3 , some of the electrodes in  FIG. 3D  called out as  315   a ,  315   b ,  315   c ,  315   d ,  315   e  and  315   f ). 
     The elongate members  304  are arranged in a frame or structure  308  that is selectively movable between an unexpanded or delivery configuration (e.g., as shown in  FIGS. 3A, 3B ) and an expanded or deployed configuration (e.g., as shown in  FIGS. 3C, 3D ) that may be used to position elongate members  304  against a tissue surface within the bodily cavity or position the elongate members  304  in the vicinity of the tissue surface. At least the expanded or deployed configuration shown in  FIGS. 3C and 3D  is an example of a three-dimensional distribution of the transducers  306 . In some embodiments, structure  308  has a size in the unexpanded or delivery configuration suitable for delivery through a bodily opening (e.g., via catheter sheath  312  (shown in  FIGS. 3A and 3B , but removed from  FIGS. 3C and 3D  for clarity)) to the bodily cavity. At least in a state in which the structure  308  is in the expanded or deployed configuration, the structure  308  may be considered to have two opposing poles  341   a  and  341   b , marked by the intersection with axis  342  extending through the structure  308  as shown in  FIGS. 3C and 3D . At least some of the plurality of transducers  306  are circumferentially arranged, e.g., in successive ring-like arrangements, about each of the poles  341   a  and  341   b  according to some embodiments. Two such ring-like arrangements are illustrated, for example, as broken-line rings  343   a  and  343   b  in  FIG. 3C  and  FIG. 3D , respectively. At least some of the plurality of transducers  306  are arranged in a plurality of groups of the transducers  306 , the groups of transducers  306  arranged like lines of longitude (e.g., along respective elongate members  304 ) about the structure  308  between each of the poles  341   a  and  341   b , according to some embodiments. At least some of the plurality of transducers  306  are arranged in a plurality of groups of the transducers  306 , the transducers in each group of transducers  306  arrayed along a path (e.g., along at least a respective portion of a respective elongate member  304 ) that extends toward the pole  341   a , the pole  341   b , or both poles  341   a  and  341   b , according to some embodiments. In some embodiments, each path extends like a line of longitude between the poles  341   a  and  341   b.    
     In various embodiments, catheter sheath  312  typically includes a length sufficient to allow the catheter sheath to extend between a location at least proximate a bodily cavity into which the structure  308  is to be delivered and a location outside a body comprising the bodily cavity. In some embodiments, structure  308  has a size in the expanded or deployed configuration too large for delivery through a bodily opening (e.g., via catheter sheath  312 ) to the bodily cavity. The elongate members  304  may form part of a flexible circuit structure (e.g., also known as a flexible printed circuit board (PCB) circuit). The elongate members  304  can include a plurality of different material layers. Each of the elongate members  304  can include a plurality of different material layers. The structure  308  can include a shape memory material, for instance Nitinol. The structure  308  can include a metallic material, for instance stainless steel, or non-metallic material, for instance polyimide, or both a metallic and non-metallic material by way of non-limiting example. The incorporation of a specific material into structure  308  may be motivated by various factors including the specific requirements of each of the unexpanded or delivery configuration and expanded or deployed configuration, the required position or orientation (e.g., pose), or both of structure  308  in the bodily cavity or the requirements for successful ablation of a desired pattern. 
       FIG. 4  is a schematic side elevation view of at least a portion of a transducer-based device  400  that includes a flexible circuit structure  401  that is employed to provide a plurality of transducers  406  (two called out) according to an example embodiment. In some embodiments, the flexible circuit structure  401  may form part of a structure (e.g., structure  308 ) that is selectively movable between a delivery configuration sized for percutaneous delivery and expanded or deployed configurations sized too large for percutaneous delivery. In some embodiments, the flexible circuit structure  401  may be located on, or form at least part of, a structural component (e.g., elongate member  304 ) of a transducer-based device system. 
     The flexible circuit structure  401  can be formed by various techniques including flexible printed circuit techniques. In some embodiments, the flexible circuit structure  401  includes various layers including flexible layers  403   a ,  403   b  and  403   c  (e.g., collectively flexible layers  403 ). In some embodiments, each of flexible layers  403  includes an electrical insulator material (e.g., polyimide). One or more of the flexible layers  403  can include a different material than another of the flexible layers  403 . In some embodiments, the flexible circuit structure  401  includes various electrically conductive layers  404   a ,  404   b  and  404   c  (collectively electrically conductive layers  404 ) that are interleaved with the flexible layers  403 . In some embodiments, each of the electrically conductive layers  404  is patterned to form various electrically conductive elements. For example, electrically conductive layer  404   a  is patterned to form a respective electrode  415  of each of the transducers  406 . Electrodes  415  have respective electrode edges  415 - 1  that form a periphery of an electrically conductive surface associated with the respective electrode  415 . It is noted that other electrodes employed in other embodiments may have electrode edges arranged to form different electrodes shapes (for example, as shown by electrode edges  315 - 1  in  FIG. 3C ). 
     Electrically conductive layer  404   b  is patterned, in some embodiments, to form respective temperature sensors  408  for each of the transducers  406  as well as various leads  410   a  arranged to provide electrical energy to the temperature sensors  408 . In some embodiments, each temperature sensor  408  includes a patterned resistive member  409  (two called out) having a predetermined electrical resistance. In some embodiments, each resistive member  409  includes a metal having relatively high electrical conductivity characteristics (e.g., copper). In some embodiments, electrically conductive layer  404   c  is patterned to provide portions of various leads  410   b  arranged to provide an electrical communication path to electrodes  415 . In some embodiments, leads  410   b  are arranged to pass though vias in flexible layers  403   a  and  403   b  to connect with electrodes  415 . Although  FIG. 4  shows flexible layer  403   c  as being a bottom-most layer, some embodiments may include one or more additional layers underneath flexible layer  403   c , such as one or more structural layers, such as a steel or composite layer. These one or more structural layers, in some embodiments, are part of the flexible circuit structure  401  and can be part of, e.g., elongate member  304 . In some embodiments, the one or more structural layers may include at least one electrically conductive surface (e.g., a metallic surface) exposed to blood flow. In addition, although  FIG. 4  shows only three flexible layers  403   a - 403   c  and only three electrically conductive layers  404   a - 404   c , it should be noted that other numbers of flexible layers, other numbers of electrically conductive layers, or both, can be included. 
     In some embodiments, electrodes  415  are employed to selectively deliver RF energy to various tissue structures within a bodily cavity (e.g., an intra-cardiac cavity or chamber). The energy delivered to the tissue structures may be sufficient for ablating portions of the tissue structures. The energy delivered to the tissue may be delivered to cause monopolar tissue ablation, bipolar tissue ablation or blended monopolar-bipolar tissue ablation by way of non-limiting example. 
     Energy that is sufficient for tissue ablation may be dependent upon factors including transducer location, size, shape, relationship with respect to another transducer or a bodily cavity, material or lack thereof between transducers, et cetera. For example, a pair of electrodes that each is approximately 10 mm 2  in surface area and present along a same structural member (e.g., an elongate member  304  in various ones of  FIG. 3 ) may be expected, in some circumstances, to sufficiently ablate intra-cardiac tissue to a depth of approximately 3.1 mm with 2 W of power and to a depth of approximately 4.4 mm with 4 W of power. For yet another non-limiting example, if each electrode in this pair instead has approximately 20 mm 2  of surface area, it may be expected that such pair of electrodes will sufficiently ablate intra-cardiac tissue to a depth of approximately 3.1 mm with 4 W of power and to a depth of approximately 4.4 mm with 8 W of power. In these non-limiting examples, power refers to the average power of each electrode summed together, and the depth and power values may be different depending upon the particular shapes of the respective electrodes, the particular distance between them, a degree of electrode-to-tissue contact, and other factors. It is understood, however, that for the same control or target temperature, a larger electrode will achieve a given ablation depth sooner than a smaller electrode. A smaller electrode (e.g., an electrode with a smaller surface area) may need to operate at a higher target temperature to achieve the same ablation depth as compared to a larger (e.g., surface area) electrode (a phenomenon driven by a greater divergence of heat flux of smaller electrodes). Put differently, a maximum ablation depth (e.g., reached when the temperature profile approaches steady state) of a relatively smaller electrode is typically shallower than that of a relatively larger electrode when ablating at the same control or target temperature, and consequently, a given, less than maximum, ablation depth typically is a larger proportion of the final, maximum, ablation depth for a relatively smaller electrode and typically is reached later in the ablation as compared to a relatively larger electrode. This circumstance may be associated with a lower total power provided to the relatively smaller electrode as compared to a relatively larger electrode, but, nonetheless, the power density present in the relatively smaller electrode may be expected to be somewhat higher as compared to the relatively larger electrode. The phrase “power density” in this context means output power divided by electrode area. Note that power density approximately drives the realized control or target temperature, but in various cases, this is a simplification, and as indicated above, the relationship between power density and realized control or target temperature may be modified by such factors as electrode size, shape, separation, and so forth. It is further noted that when a comparison is made between a relatively larger electrode operated at a lower control temperature versus a relatively smaller electrode operated at a higher temperature, further complications may arise when limits on compensation for electrode size with temperature are also dictated, at least in part, by a desire to reduce occurrences of thermal coagulation of blood or steam formation in the ablated tissue. It is noted that power levels in irrigated electrode systems are typically higher (e.g., in the tens of Watts) than those described above. 
     In some embodiments, each electrode  415  is employed to sense or sample an electrical potential in the tissue proximate the electrode  415  at a same or different time than delivering energy sufficient for tissue ablation. In some embodiments, each electrode  415  is employed to sense or sample intra-cardiac voltage data in the tissue proximate the electrode  415 . In some embodiments, each electrode  415  is employed to sense or sample data in the tissue proximate the electrode  415  from which an electrogram (e.g., an intra-cardiac electrogram) may be derived. In some embodiments, each resistive member  409  is positioned adjacent a respective one of the electrodes  415 . In some embodiments, each of the resistive members  409  is positioned in a stacked or layered array with a respective one of the electrodes  415  to form a respective one of the transducers  406 . In some embodiments, the resistive members  409  are connected in series to allow electrical current to pass through all of the resistive members  409 . In some embodiments, leads  410   a  are arranged to allow for a sampling of electrical voltage in between each resistive members  409 . This arrangement allows for the electrical resistance of each resistive member  409  to be accurately measured. The ability to accurately measure the electrical resistance of each resistive member  409  may be motivated by various reasons including determining temperature values at locations at least proximate the resistive member  409  based at least on changes in the resistance caused by convective cooling effects (e.g., as provided by blood flow). 
     Referring to  FIGS. 3A, 3B, 3C, and 3D  transducer-based device  300  can communicate with, receive power from or be controlled by a transducer-activation system  322 . In some embodiments, the transducer-activation system  322  represents one or more particular implementations of the system  100  illustrated in  FIG. 1 . In some embodiments, elongate members  304  can form a portion of an elongated cable  316  of leads  317  (e.g., control leads, data leads, power leads or any combination thereof), for example, by stacking multiple layers, and terminating at a connector  321  or other interface with transducer-activation system  322 . The leads  317  may correspond to the electrical connectors  216  in  FIG. 2  in some embodiments. The transducer-activation device system  322  may include a controller  324  that includes a data processing device system  310  (e.g., which may be a particular implementation of data processing device system  110  from  FIG. 1 ) and a memory device system  330  (e.g., which may be a particular implementation of the memory device system  130  from  FIG. 1 ) that stores data and instructions that are executable by the data processing device system  310  to process information received from transducer-based device  300  or to control operation of transducer-based device  300 , for example, activating various selected transducers  306  to ablate tissue and control a user interface (e.g., of input-output device system  320 ) according to various embodiments including at least those described below with respect to various ones of  FIGS. 5 and 6 . Controller  324  may include one or more controllers. 
     Transducer-activation device system  322  includes an input-output device system  320  (e.g., which may be a particular implementation of the input-output device system  120  from  FIG. 1 ) communicatively connected to the data processing device system  310  (e.g., via controller  324  in some embodiments). Input-output device system  320  may include a user-activatable control that is responsive to a user action. Input-output device system  320  may include one or more user interfaces or input/output (I/O) devices, for example, one or more display device systems  332 , speaker device systems  334 , one or more keyboards, one or more mice (e.g., mouse  335 ), one or more joysticks, one or more track pads, one or more touch screens or other transducers to transfer information to, from, or both to and from a user, for example, a care provider such as a physician or technician. For example, output from a mapping process may be displayed on a display device system  332 . Input-output device system  320  may include one or more user interfaces or input/output (I/O) devices, for example, one or more display device systems  332 , speaker device systems  334 , keyboards, mice, joysticks, track pads, touch screens or other transducers employed by a user to indicate a particular selection or series of selections of various graphical information. Input-output device system  320  may include a sensing device system  325  configured to detect various characteristics including, but not limited to, at least one of tissue characteristics (e.g., electrical characteristics such as tissue impedance, tissue conductivity, tissue type, tissue thickness) and thermal characteristics such as temperature. In this regard, the sensing device system  325  may include one, some, or all of the transducers  306  (or  406  of  FIG. 4 ) of the transducer based device  300 , including the internal components of such transducers shown in  FIG. 4 , such as the electrodes  415  and temperature sensors  408 . 
     Transducer-activation device system  322  may also include an energy source device system  340  including one or more energy source devices connected to transducers  306 . In this regard, although various ones of  FIG. 3  show a communicative connection between the energy source device system  340  and the controller  324  (and its data processing device system  310 ), the energy source device system  340  may also be connected to the transducers  306  via a communicative connection that is independent of the communicative connection with the controller  324  (and its data processing device system  310 ). For example, the energy source device system  340  may receive control signals via the communicative connection with the controller  324  (and its data processing device system  310 ), and, in response to such control signals, deliver energy to, receive energy from, or both deliver energy to and receive energy from one or more of the transducers  306  via a communicative connection with such transducers  306  (e.g., via one or more communication lines through catheter body or shaft  314 , elongated cable  316  or catheter sheath  312 ) that does not pass through the controller  324 . In this regard, the energy source device system  340  may provide results of its delivering energy to, receiving energy from, or both delivering energy to and receiving energy from one or more of the transducers  306  to the controller  324  (and its data processing device system  310 ) via the communicative connection between the energy source device system  340  and the controller  324 . 
     In any event, the number of energy source devices in the energy source device system  340  is fewer than the number of transducers in some embodiments. The energy source device system  340  may, for example, be connected to various selected transducers  306  to selectively provide energy in the form of electrical current or power (e.g., RF energy), light or low temperature fluid to the various selected transducers  306  to cause ablation of tissue. The energy source device system  340  may, for example, selectively provide energy in the form of electrical current to various selected transducers  306  and measure a temperature characteristic, an electrical characteristic, or both at a respective location at least proximate each of the various transducers  306 . The energy source device system  340  may include various electrical current sources or electrical power sources as energy source devices. In some embodiments, an indifferent electrode  326  is provided to receive at least a portion of the energy transmitted by at least some of the transducers  306 . Consequently, although not shown in various ones of  FIG. 3 , the indifferent electrode  326  may be communicatively connected to the energy source device system  340  via one or more communication lines in some embodiments. In addition, although shown separately in various ones of  FIG. 3 , indifferent electrode  326  may be considered part of the energy source device system  340  in some embodiments. In various embodiments, indifferent electrode  326  is positioned on an external surface (e.g., a skin-based surface) of a body that comprises the bodily cavity into which at least transducers  306  are to be delivered. 
     It is understood that input-output device system  320  may include other systems. In some embodiments, input-output device system  320  may optionally include energy source device system  340 , transducer-based device  300  or both energy source device system  340  and transducer-based device  300  by way of non-limiting example. Input-output device system  320  may include the memory device system  330  in some embodiments. 
     Structure  308  can be delivered and retrieved via a catheter member, for example, a catheter sheath  312 . In some embodiments, a structure provides expansion and contraction capabilities for a portion of the medical device (e.g., an arrangement, distribution or array of transducers  306 ). The transducers  306  can form part of, be positioned or located on, mounted or otherwise carried on the structure and the structure may be configurable to be appropriately sized to slide within catheter sheath  312  in order to be deployed percutaneously or intravascularly. FIGS.  3 A,  3 B show one embodiment of such a structure. In some embodiments, each of the elongate members  304  includes a respective distal end  305  (only one called out in each of  FIGS. 3A, 3B ), a respective proximal end  307  (only one called out in each of  FIGS. 3A, 3B ) and an intermediate portion  309  (only one called out in each of  FIGS. 3A, 3B ) positioned between the proximal end  307  and the distal end  305 . The respective intermediate portion  309  of each elongate member  304  includes a first or front surface  318   a  that is positionable to face an interior tissue surface within a bodily cavity and a second or back surface  318   b  opposite across a thickness of the intermediate portion  309  from the front surface  318   a . In some embodiments, each of the elongate members  304  is arranged front surface  318   a -toward-back surface  318   b  in a stacked array during an unexpanded or delivery configuration similar to that described in co-assigned International Application No.: PCT/US2012/022061 and co-assigned International Application No.: PCT/US2012/022062. In many cases a stacked array allows the structure  308  to have a suitable size for percutaneous or intravascular delivery. In some embodiments, the elongate members  304  are arranged to be introduced into a bodily cavity distal end  305  first. A flexible, elongated, catheter body  314  is used to deliver structure  308  through catheter sheath  312  according to some embodiments. 
     In a manner similar to that described in co-assigned International Application No.: PCT/US2012/022061 and co-assigned International Application No.: PCT/US2012/022062, each of the elongate members  304  is arranged in a fanned arrangement  370  in  FIGS. 3C, 3D . In some embodiments, the fanned arrangement  370  is formed during the expanded or deployed configuration in which structure  308  is manipulated to have a size too large for percutaneous or intravascular delivery. In some embodiments, structure  308  includes a proximal portion  308   a  having a first domed shape  309   a  and a distal portion  308   b  having a second domed shape  309   b . In some embodiments, the proximal and the distal portions  308   a ,  308   b  each include respective portions of elongate members  304 . In some embodiments, the structure  308  is arranged to be delivered distal portion  308   b  first into a bodily cavity when the structure is in the unexpanded or delivery configuration as shown in  FIGS. 3A, 3B . In various embodiments, the proximal and distal portions  308   a ,  308   b  do not include a domed shape in the delivery configuration (for example, as shown in  FIGS. 3A, 3B ). In some embodiments, the first domed shape  309   a  of the proximal portion  308   a  and the second domed shape  309   b  of the distal portion  308   b  are arranged in a clam shell configuration in the expanded or deployed configuration shown in  FIGS. 3C, 3D . 
     The transducers  306  can be arranged in various distributions or arrangements in various embodiments. In some embodiments, various ones of the transducers  306  are spaced apart from one another in a spaced apart distribution in the delivery configuration shown in  FIGS. 3A, 3B . In some embodiments, various ones of the transducers  306  are arranged in a spaced apart distribution in the deployed configuration shown in  FIGS. 3C, 3D . In some embodiments, various pairs of transducers  306  are spaced apart with respect to one another. In some embodiments, various regions of space are located between various pairs of the transducers  306 . For example, in  FIG. 3D  the transducer-based device  300  includes at least a first transducer  306   a , a second transducer  306   b  and a third transducer  306   c  (all collectively referred to as transducers  306 ). In some embodiments each of the first, the second and the third transducers  306   a ,  306   b  and  306   c  are adjacent transducers in the spaced apart distribution. In some embodiments, the first and the second transducers  306   a ,  306   b  are located on different elongate members  304  while the second and the third transducers  306   b ,  306   c  are located on a same elongate member  304 . In some embodiments, a first region of space  350  is between the first and the second transducers  306   a ,  306   b . In various embodiments, a first region of space  350  is between the respective electrodes  315   a ,  315   b  of the first and the second transducers  306   a ,  306   b . In some embodiments, the first region of space  350  is not associated with any physical portion of structure  308 . In some embodiments, a second region of space  360  associated with a physical portion of device  300  (e.g., a portion of an elongate member  304 ) is between the second and the third transducers  306   b ,  306   c . In various embodiments, the second region of space  360  is between the respective electrodes  315   b ,  315   c  of the second and the third transducers  306   b ,  306   c . In some embodiments, each of the first and the second regions of space  350 ,  360  does not include a transducer of transducer-based device  300 . In some embodiments, each of the first and the second regions of space  350 ,  360  does not include any transducer. It is noted that other embodiments need not employ a group of elongate members  304  as employed in the illustrated embodiment. For example, other embodiments may employ a structure having one or more surfaces, at least a portion of the one or more surfaces defining one or more openings in the structure. In these embodiments, a region of space not associated with any physical portion of the structure may extend over at least part of an opening of the one or more openings. 
     In some embodiments, a first transducer set (e.g., a first set including one or more of transducers  306 ) is arranged (e.g., axially, circumferentially, or both axially and circumferentially arranged) along, across, or over a portion of catheter body  314  while a second set (e.g., a second set including one or more of transducers  306 ) is located on structure  308  extending outwardly from a distal end  314   a  of catheter body  314 . An example first transducer set  380  and example second transducer set  382  are shown in  FIG. 3C  according to some embodiments. In various example embodiments, transducer-based device  300  includes a first transducer set (e.g., first transducer set  380 ) located proximally of a distal end  314   a  of catheter body  314  while a second transducer set (e.g., second transducer set  382 ) is located on structure  308  extending outwardly from the distal end  314   a  of catheter body  314  (which is better seen in  FIG. 3B ). In some of these various example embodiments, structure  308  is selectively moveable between a delivery configuration (e.g.,  FIGS. 3A, 3B ) in which the first transducer set  380  and the second transducer set  382  are concurrently arranged in respective arrangements sized for movement through a lumen of catheter sheath  312 , and an expanded or deployed configuration (e.g.,  FIGS. 3C, 3D ) in which the second transducer set  382  is arranged in a respective arrangement sized too large for delivery through the lumen of catheter sheath  312  while the first transducer set  380  is arranged in a respective arrangement sized for movement through the lumen of the catheter sheath  312 . For example, in some embodiments of the expanded or deployed configuration, each of various transducers  306  in the first transducer set  380  is moveable inwardly into or outwardly from the lumen of catheter sheath  312  while the transducers  306  in the second transducer set  382  are arranged in an arrangement too large for movement inwardly into the lumen of the catheter sheath  312 . Advantageously, these embodiments may allow particular transducers (e.g., transducers  306  in the first transducer set  380  to be introduced into or removed from a bodily cavity when the structure  308  is repositioned in the bodily cavity in the expanded or deployed configuration. Repositioning of the structure  308  in the bodily cavity may be required due to variances in a size of the cavity (e.g., a larger than expected size) or variances in an expected positioning of various anatomical landmarks. In either case, additional transducers  306  may be brought into play or out of play as the specific circumstance may require. Bringing a particular transducer  306  into play within a bodily cavity may include appropriately positioning the transducer for a desired sensing function, an energy transmission function, or a sensing and energy transmission function within the bodily cavity. 
     In  FIG. 3C , structure  308  includes at least one elongate member  304   a  (also shown in  FIG. 3A ) according to some embodiments. At least one elongate member  304   a  is sized and arranged to position at least some of a first set of the transducers  306  (e.g., first transducer set  380 ) diametrically opposite from a portion  314   b  (best seen in  FIG. 3B ) of an outer surface of catheter body  314 , the portion of the outer surface not including any transducer. In some example embodiments, portion  314   b  includes at least a semicircular portion of an outer surface of catheter body  314 . In some embodiments, various ones of the elongate members  304  of structure  308  extend outwardly away from the distal end  314   a  of the catheter body  314  while at least one elongate member  304  (e.g., at least one elongate member  304   a ) extends outwardly from a location (e.g., location  314   c ) on the catheter body  314  spaced proximally inward from the distal end  314   a  of the catheter body  314 . In some embodiments, one or more transducers  306  of the first transducer set  380  are located within a region of space between location  314   c  and distal end  314   a . In some embodiments, elongate member  304   a  is sized and arranged to position first transducer set  380  along the catheter body  314  inwardly from the distal end  314   a  of the catheter body  314  while positioning a third transducer set  384  outwardly from the distal end  314   a  of catheter body  314 , each of the first and the third transducer sets  380 ,  384  located on elongate member  304   a . In some embodiments, elongate member  304   a  is sized and arranged to position at least some of transducers  306  over a twisted region  311  of each of at least some of the other elongate members  304 . In some embodiments, respective portions of each of at least three of the elongate members  304  are arranged front surface  318   a -toward-back surface  318   b  along a first direction (for example, indicated by arrow  318  in  FIG. 3A ) to form a stacked array in the delivery configuration (e.g.,  FIG. 3A ), and at least one portion of the respective front surface  318   a  of at least one elongate member  304   a  is arranged to face in a direction (e.g., represented by arrow  319  in  FIG. 3A ) other than the first direction in the delivery configuration. In other example embodiments, other structures may be employed to support or carry transducers of a transducer-based device such as a transducer-based catheter. For example, an elongated catheter member may be used to distribute the transducers in a linear or curvilinear array. Basket catheters or balloon catheters may be used to distribute the transducers in a two-dimensional or three-dimensional array. 
       FIGS. 6A-6F  include respective data generation and flow diagrams, which may implement various embodiments of method  600  by way of associated computer-executable instructions according to some example embodiments. In various example embodiments, a memory device system (e.g., memory device systems  130 ,  330 ) is communicatively connected to a data processing device system (e.g., data processing device systems  110  or  310 , otherwise stated herein as “e.g.,  110 ,  310 ”) and stores a program executable by the data processing device system to cause the data processing device system to execute various embodiments of method  600  via interaction with at least, for example, a transducer-based device (e.g., transducer-based devices  200 ,  300 , or  400 ). In these various embodiments, the program may include instructions configured to perform, or cause to be performed, various ones of the instructions associated with execution of various embodiments of method  600 . In some embodiments, method  600  may include a subset of the associated blocks or additional blocks than those shown in  FIGS. 6A-6F . In some embodiments, method  600  may include a different sequence indicated between various ones of the associated blocks shown in  FIGS. 6A-6F . 
     In some embodiments, block  604  is associated with computer-executable instructions (e.g., graphical representation instructions or graphical interface instructions or display instructions provided by a program) configured to cause an input-output device system (e.g., input-output device system  120  or  320 ) to display a graphical representation.  FIG. 5A  illustrates a graphical interface including a graphical representation  500  provided by the input-output device system according to one example embodiment provided in accordance with display instructions associated with block  604  in  FIG. 6A . In some embodiments, the graphical representation  500  includes a three-dimensional graphical representation of at least a portion of a transducer-based device (e.g., structure  308  in  FIG. 3 ) and is provided in accordance with the computer-executable program instructions associated with block  606 . The instructions associated with block  606  may be configured to access a predefined model (e.g., a computer-aided-design (“CAD”) or other computer-readable model stored in memory device system  130 ,  330 ) of the at least the portion of the transducer-based device and display the at least the portion of the transducer-based device according to such model. In some embodiments encompassing  FIG. 5A , the representation of the transducer-based device is provided by or among various elements of graphical representation  500 . In some embodiments, the graphical interface depicts the transducer-based device as including a first domed portion  508   a  associated with a first domed portion of the transducer-based device (e.g., proximal portion  308   a  when having the first domed shape  309   a ) and a second domed portion  508   b  associated with a second domed portion of the transducer-based device (e.g., distal portion  308   b  having the second domed shape  309   b ). A separation graphical element  503  may be employed between the first and the second domed portions  508   a ,  508   b  in some embodiments, but may be omitted in other embodiments. Various other transducer-based devices may be depicted according to the instructions associated with block  606  in other embodiments.  FIGS. 5A, 5B, 5C, 5D, 5E ,  5 F,  5 G,  5 H,  5 I,  5 J,  5 K,  5 L,  5 M,  5 N,  5 O,  5 P,  5 Q,  5 R,  5 S,  5 T,  5 U,  5 V,  5 W, and  5 X (collectively  FIG. 5 ) are presented in this disclosure in association with various embodiments. It is understood that each of these embodiments need not be associated with all of the  FIG. 5 , and in some cases will only be associated with a subset of the  FIG. 5 . 
     In some embodiments according to  FIG. 5A , a plurality of graphical elements  501  (only two called out) are depicted (e.g., according to the instructions associated with block  606 ) among various elements of graphical representation  500 . In various embodiments, each of the graphical elements  501  is respectively associated with a respective one of a plurality of transducer sets. Each respective transducer set includes at least one of a plurality of transducers included as part of the transducer-based device (e.g., transducer-based devices  200 ,  300 , or  400 ) and each respective transducer set has at least one different transducer than another of the other transducer sets. In various particular embodiments, each respective transducer set has at least one different transducer than each of the other transducer sets. 
       FIG. 5B  shows the graphical interface in which the display instructions have been configured to cause (for example, in response to a user input via an input-output device system such as  120 ,  320 ) the three-dimensional graphical representation of the transducer-based device to be manipulated so as to be viewed from a different viewing angle than that shown in  FIG. 5A . In some embodiments, the depiction of the transducer-base device may include various other elements thereof. For example,  FIG. 5B  depicts the transducer-based device as including an elongated portion  500   c  (e.g., extending from or toward domed portion  508   a  in some embodiments). In various embodiments, elongated portion  500   c  is representative of a particular element that is the same or similar to at least one elongate member  304   a  in various ones of  FIG. 3B . It is noted that three-dimensional representations of at least portion of the transducer-based device are shown in  FIGS. 5A, 5B, 5C, 5D, and 5R . 
     Referring to some embodiments encompassing  FIG. 5A , each of at least some of the graphical elements  501  is provided by a respective one of a plurality of transducer graphical elements  502  that include at least a first transducer graphical element  502   a , a second transducer graphical element  502   b , and a third transducer graphical element  502   c  (e.g., all the transducer graphical elements forming part of a group of transducer graphical elements  502 ). In some embodiments, each transducer graphical element  502  is associated with a single respective transducer of the transducer-based device. In some example embodiments, each transducer graphical element  502  is representative of a respective transducer of the transducer-based device. In some example embodiments, each transducer graphical element  502  is representative of a location or position of a respective transducer of the transducer-based device. In some embodiments, the graphical representation  500  includes a first spatial relationship between the transducer graphical elements  502  that is consistent with a second spatial relationship between the corresponding transducers associated with the transducer graphical elements  502 . For example, in some embodiments, the transducer graphical elements  502  in the three-dimensional graphical representation  500  in  FIGS. 5A, 5B  may exhibit a same spatial relationship that the transducers  306  exhibit in the transducer based device  300  in  FIG. 3C . Or, in some embodiments, the transducer graphical elements  502  in other graphical representations  500  in others of  FIG. 5  may exhibit a respective or corresponding spatial relationship that the transducers  306  exhibit in the transducer based device  300  in  FIGS. 3C and 3D . In this regard, in some embodiments, the graphical representation  500  may include a first spatial relationship between the transducer graphical elements  502  that is consistent with a second spatial relationship between the corresponding transducers associated with the transducer graphical elements  502  when the corresponding transducers are arranged in a deployed configuration (e.g.,  FIGS. 3C, 3D ). In some embodiments, each particular depicted transducer graphical element  502  is shown having a shape that is consistent with the particular transducer (or portion thereof) that the particular transducer graphical element  502  is representative of. For example, in  FIG. 5A , transducer graphical element  502   d  includes an essentially square shape with rounded corners that is consistent with the square, rounder cornered shape of the electrode  315   d  of transducer  306   d  shown in  FIG. 3D . Additionally, in  FIG. 5A , transducer graphical element  502   e  includes an essentially triangular shape with rounded corners that is consistent with the triangular, rounded cornered shape of the electrode of transducer  306   e  shown in  FIG. 3D . Further, in  FIG. 5A , transducer graphical element  502   f  includes an essentially oval shape that is consistent with the oval shape of the electrode  315   f  of transducer  306   f  shown in  FIG. 3D . Others transducer graphical elements  502  in  FIGS. 5A and 5B  have shapes that are consistent with respective ones of the electrodes shown in  FIGS. 3C and 3D . A graphical representation  523  of an electrocardiogram (ECG/EKG) signal is also shown in the graphical interface of various ones of  FIG. 5 . 
     In some example embodiments, graphical elements  501  may include alternate or additional forms. For example,  FIG. 5C  shows an example embodiment in which each of at least some of the graphical elements  501  are provided by a respective one of a plurality of between graphical elements  504  including a first between graphical element  504   a  and a second between graphical element  504   b  (e.g., all the between graphical elements collectively referred to as between graphical elements  504 ).  FIG. 5D  shows an embodiment of the graphical interface in which the display instructions have been configured to cause (for example, in response to a user input via an input-output device system such as  120 ,  320 ) the depiction of the transducer-based device to manipulated so as to be viewed from a different viewing angle than that shown in  FIG. 5C . In some embodiments, between graphical elements  504  are shown in addition to various ones of the transducer graphical  502  shown in  FIGS. 5A and 5B . In some embodiments, between graphical elements  504  are provided separately or with other embodiments of graphical elements  501 . In various embodiments, each of the between graphical elements  504  is associated with a set of at least two (e.g., a group) of the transducers of the transducer-based device. In some example embodiments, each of the between graphical elements  504  is associated with a pair of transducers in the transducer-based device. In some example embodiments, each between graphical element  504  is associated with a region of space between a respective pair of transducers in the transducer-based device. In some example embodiments, each between graphical element  504  is associated with a region of space between a respective pair of adjacent ones of the transducers in the transducer-based device. 
     In some embodiments, first transducer graphical element  502   a  is associated with a first transducer (e.g., first transducer  306   a ) of the transducer-based device, second transducer graphical element  502   b  associated with a second transducer (e.g., second transducer  306   b ) of the transducer-based device, and third transducer graphical element  502   c  associated with a third transducer (e.g., third transducer  306   c ) of the transducer-based device. In some embodiments, each of the transducer graphical elements  502   a ,  502   b  and  502   c  has a shape that is consistent with a shape of the respective electrode  315   a ,  315   b ,  351   c  of the corresponding one of the transducers  306   a ,  306   b  and  306   c . In some embodiments, the first between graphical element  504   a  is associated with a first region of space that is between the first and the second transducers and the second between graphical element  504   b  is associated with a second region of space that is between the second and the third transducers. In some embodiments, the first region of space is a region of space that is not associated with any physical part of the transducer-based device (e.g., first region of space  350 ) and the second region of space is a region of space that is associated with a physical part of the transducer-based device (e.g., second region of space  360 ). In some embodiments, each of the first and the second between graphical elements  504   a ,  504   b  is associated with a region of space that does not include a transducer of the transducer-based device. In some embodiments, each of the first and the second between graphical elements  504   a ,  504   b  is associated with a region of space that does not include any transducer. It is understood that a “region of space” need not be a vacant space but can include physical matter therein. 
     In some embodiments, the first between graphical element  504   a  is positioned between the second and the first transducer graphical elements  502   b ,  502   a  among the graphical representation  500 . In some embodiments, the second between graphical element  504   b  is positioned between the second and the third transducer graphical elements  502   b ,  502   c  among the graphical representation  500 . In other example embodiments, other spatial relationships exist between the transducer graphical elements  502  and the between graphical elements  504  in the graphical representation. 
     The transducer graphical elements  502 , the between graphical elements  504 , or both may have different sizes, shapes or forms than those shown in the illustrated embodiment. In some embodiments, at least one particular one of the transducer graphical elements  502  may be depicted with a different shape, size, or form than the respective one of the shape, size or form of the respective portion of the particular transducer to which the particular one of the transducer graphical elements  502  corresponds. In some embodiments, different ones of the between graphical elements  504  may be depicted with different shapes, sizes, or forms. 
     With reference to various ones of  FIG. 5 , at least a portion of the transducer graphical elements  502 , and at least a portion of the between graphical elements  504  are arranged in a plurality of rows  510  (two called out in  FIG. 5A ) and a plurality of columns  512  (two called out in  FIG. 5A ). In some embodiments, each row corresponds to a respective one of number “0”, “1”, “2”, “3”, “4”, “5”, “6”, “7”, “8”, “9”, “10”, and “11”, and each column  512  corresponds to a respective one of letters “A”, “B”, “C”, “D”, “E”, “F”, “G”, “H”, “I”, “J”, “K”, “L”, “M”, “N”, “O”, “P”, “Q”, “R”, “S”, and “T”, each of the numbers and letters used as part of the unique identifier  513  (only two called out with reference numeral  513  in  FIG. 5A ) of each transducer graphical element  504 . In some embodiments, the plurality of rows  510  and columns  512  correspond to condition in which structure  308  is in the deployed configuration. In some embodiments, a portion of each of the columns  512  corresponds to region of space associated with a physical portion of the transducer-based device (e.g., an elongate member  304 ). In some embodiments, each of the columns  512  corresponds to at least a portion of the transducers located on a particular elongate member of a transducer-based device (e.g., an elongate member  304 ). In some embodiments, at least one of the columns  512  includes at least one transducer graphical element  502  having a shape that is different than the respective shape comprised by any of the transducer graphical elements  502  included in at least one other of the columns  512 . For example, the “A” column  512  includes a transducer graphical element  502  identified as “A:10” that has a shape that is different than any of the transducer graphical elements  502  comprised by at least one of the other columns  512 . In some embodiments, at least a first one of the rows  510  includes identically shaped transducer graphical elements  502  (e.g., row  510  that includes transducer graphical elements  502  identified as “A:6”, “B:6”, “C:6”, “D:6”, “E:6”, “F:6”, “G:6”, “H:6”, “I:6”, “J6”, “K:6”, “L:6”, “M:6”, “N:6”, “O:6”, “P:6”, “Q:6”, “R:6”, “S:6” and “T:6”), and at least a second one of the rows  510  includes differently shaped transducer graphical elements  502  (e.g., row  510  that includes transducer graphical elements  502  identified as “A:10”, “B:10”, “C:10”, “D:10”, “E:10”, “F:10”, “G:10”, “H:10”, “I:10”, “K:10”, “L:10”, “M:10”, “N:10”, “O:10”, “P:10”, “Q:10”, “R:10”, and “S:10”). In some example embodiments, a portion of each of the rows  510  corresponds to regions of space not associated with any physical portion of the transducer-based device (e.g., regions of space  350  between adjacent ones of the elongate members  304 ). In other example embodiments, different numbers of transducer graphical elements  502  and different numbers and spatial arrangements of between graphical elements  504  may be depicted in the graphical representation. In other example embodiments, different numbers and spatial arrangements of rows  510  and columns  512  may be depicted in the graphical representation. In various embodiments, each of the between graphical elements (e.g., between graphical elements  504 ) depicted in the graphical representation are representative of a respective physical path extending between a respective pair of transducers of the transducer-based device. Each of the physical paths may extend over a physical surface of the transducer-based device or over a portion of an opening defined by a physical surface of the transducer-based device. In the embodiment shown in  FIG. 5C , each between graphical element  504  is representative of a respective physical path extending between the respective transducers associated with the adjacent pair of transducer graphical elements  502  that the between graphical element  504  extends between. In the embodiment shown in  FIG. 5C , each adjacent pair of the transducer graphical elements  502  may be provided along a row  510  (two called out in  FIG. 5C ) of the graphical elements  501 , along a column  512  (two called out in  FIG. 5C ) of the graphical elements  501 , or diagonally between a row  510  and a column  512 . 
     Referring back to  FIGS. 5A, 5B , the plurality of rows  510  and the plurality of columns  512  are depicted as a three-dimensional arrangement in the graphical representation. In some embodiments, at least two of the plurality of columns  512  are depicted in the graphical representation extending along respective directions that converge with respect to one another. In some embodiments, at least two of the plurality of columns  512  are depicted in the graphical representation extending along non-parallel directions and at least two of the plurality of rows  510  are depicted extending along parallel directions. In some embodiments, the rows  510  and the columns  512  are depicted in the graphical representation in an arrangement in which the columns  512  are circumferentially arranged. In some embodiments, the rows  510  and the columns  512  are depicted in the graphical representation in an arrangement having a generally spherical shape. The plurality of columns  512  may be depicted like lines of longitude, and the plurality of rows  510  may be depicted like lines of latitude. Although the rows  510  and columns  512  are illustrated in  FIGS. 5A-5D  as circumferential lines (like lines of longitude and latitude), such rows  510  and columns  512  can take other forms, as shown, for example, in  FIGS. 5E and 5F , discussed in more detail below, according to some embodiments. 
     The display instructions (e.g., according to block  604 ,  606 , or both) may include instructions (e.g., instructions responsive to a user input made via an input-output device system) configured to vary the depiction of the portion of the transducer-based device between a three-dimensional representation (e.g., as depicted in various ones of at least  FIGS. 5A, 5B, 5C, and 5D ) and a two-dimensional representation (e.g., as depicted by at least  FIG. 5E or 5F ). Various two-dimensional representations are possible in various embodiments. For instance, the plurality of transducer graphical elements  502  may be arranged in the graphical representation  500  in a particular spatial distribution representing the three-dimensional distribution of transducers (e.g.,  220  or  306 ) distorted onto a two-dimensional plane to form the two-dimensional representation. In this regard, in some embodiments, the two-dimensional representation of the three-dimensional distribution of transducers (e.g.,  220  or  306 ) distorted onto a two-dimensional plane is not merely an isometric or other perspective view of the three-dimensional distribution of transducers, as such an isometric or other perspective view would be considered a three-dimensional representation, such as that shown in various ones of  FIGS. 5A, 5B, 5C, and 5D . The two-dimensional representation may be generated according to the display instructions according to a conformal map or projection, such as a Mercator map or projection, a transverse Mercator map or projection, or other three-dimensional-to-two-dimensional map or projection, known in the art, according to some embodiments. According to various embodiments, a conformal mapping is a function that preserves local angles. For example, according to some embodiments, when a particular spatial relationship between the plurality of transducers  306  is conformally mapped to the graphical representation  500 , an angle defined between a group of transducers (e.g.,  306 ) according to the particular spatial relationship is preserved between the corresponding group of transducer graphical elements  502 . In some embodiments, the two-dimensional representation need not be a projection or map from a three-dimensional model, and may merely be any two-dimensional representation, e.g., including an arrangement of transducers. 
     The two-dimensional representation depicted in  FIG. 5E , according to some embodiments, represents the first domed portion  508   a  (e.g., shown in  FIGS. 5C, 5D ) of the depicted transducer-based device as first Mercator projection  518   a  and the second domed portion  508   b  (e.g., shown in  FIGS. 5C, 5D ) of the depicted transducer-based device as a second Mercator projection  518   b . The first and the second Mercator projections  518   a  and  518   b  advantageously allow for simultaneous viewing of all the transducer graphical elements  502  and the between graphical elements  504 . Columns  512  and rows  510  are depicted two-dimensionally in  FIG. 5E . In some embodiments, separation graphical element  503  is also depicted in a two-dimensional configuration. 
     As discussed above, other two-dimensional representations may be implemented and may be user-selectable for viewing. For example,  FIG. 5F  illustrates a transverse Mercator projection employed according to some embodiments. In  FIG. 5F , the transverse Mercator projection includes two portions  518   c ,  518   d , each of the portions  518   c ,  518   d  representative of a respective one of first and second domed portions  508   a  and  508   b  in the corresponding three-dimensional representation. In  FIG. 5F , portion  518   d  of the transverse Mercator projection is shown as two parts, each part at least depicting the transducer graphical elements  502  in a respective one of two parts of the domed portion  508   b . In  FIG. 5F , portion  518   c  is representative of first domed portion  508   a . In some embodiments, various ones of the columns  512  radiate outwardly radially or quasi-radially from particular ones of a plurality of pole regions  511   a  and  511   b  represented in the graphical representation  500 . In some embodiments, various ones of the rows  510  are circumferentially arranged about particular ones of a plurality of pole regions  511   a  and  511   b.    
     In some embodiments, at least some of the between graphical elements  504  are not shown in various ones of the displayable two-dimensional representations. For example, in  FIG. 5F , between graphical elements  504  have been selectively controlled, e.g., in response to user input, not to be visible among the graphical representation. In various embodiments, the transducer graphical elements  502  shown in each of the  FIGS. 5E and 5F  are arranged with respect to one another according to a spatial relationship that corresponds to a spatial relationship that the transducer graphical elements are arranged in the three-dimensional representations shown in various ones of  FIGS. 5A, 5B, 5C, 5D, and 5R . In various embodiments, the transducer graphical elements  502  shown in each of the  FIGS. 5E and 5F  are arranged with respect to one another according to a spatial relationship that corresponds to a spatial relationship that particular transducers that the transducer graphical elements  502  correspond to, are arranged with respect to one another when a supporting structure (e.g., structure  308 ) is in a deployed configuration. 
     Various computer-executable instructions may be configured to control various input element control functions (e.g., mouse drag functions, touch screen drag functions) between various operating modes such as rotating and panning modes. A rotating mode may be advantageously used for manipulation of a three-dimensional representation of a transducer-based device or other portions of the graphical representation  500  to allow for viewing one or more portions of the three-dimensional representation of the transducer-based device or various portions of the graphical representation  500  that were not previously viewable (e.g., a manipulation between the views shown in  FIGS. 5A and 5B  or a manipulation between the views shown in  FIGS. 5C and 5D ). In some embodiments, a panning mode may be advantageously used for manipulation of a two-dimensional representation of the transducer-based device or other portions of the graphical representation  500  to allow for viewing of different arrangements of various graphical elements in the representation of a transducer-based device or other portions of the graphical representation  500 . For example, in  FIG. 5F , an up-down panning manipulation (e.g., caused in response to a mouse drag or touch screen drag function) may adjust a size of each of the portions  518   d  that are representative of domed portion  508   b  (e.g., one of the portions  518   d  increasing in size while the other portion  518   d  decreases in size) or in some cases combine the plurality of portions  518   d  into a fewer number of portions (e.g., a single portion  518   d ), or in some cases divide portion  518   c  representative of the first domed portion  508   a  into a plurality of portions  518   c.    
     In some embodiments, a rotating mode may be advantageously used for manipulation of a two-dimensional representation of the transducer-based device or other portions of the graphical representation  500  to allow for viewing of different arrangements of various graphical elements in the transducer-based device or other portions of the graphical representation  500 . For example, in  FIG. 5F , a rotation mode (for example, caused in response to a mouse drag or touch screen drag function) may be employed to rotate or revolve various ones of the transducer graphical elements  502  or other elements of the graphical representation  500  about a selected one of two pole regions  511   a  and  511   b . It is noted in some embodiments, a particular rotation of a first set of graphical elements about one of the pole regions  511   a  and  511   b  in a first particular rotational direction (e.g., a clockwise direction) may be automatically accompanied by a particular rotation of a second set of graphical elements about the other of the pole regions  511   a  and  511   b  in second particular rotation direction different than the first particular rotational direction (e.g., a counterclockwise direction). 
     It is noted that, even though an entirety of the representation of the transducer-based device may be shown in the two-dimensional representation, various panning or rotation modes such as described above may be employed to position various ones of the displayed graphical elements in a configuration that may provide a better understanding of a particular relationship between the graphical elements. For example, in some embodiments, the transducer graphical elements  502   k  and  502   l  respectively identified as “P:5” and “P:6” in  FIG. 5F  correspond to an adjacent pair of transducers, but are displayed apart from one another in the two portions  518   d . A rotation (for example, as described above) about one of the two pole regions  511   a ,  511   b  may be used to position the transducer graphical elements  502   k  and  502   l  respectively identified as “P:5” and “P:6” closer together, for example, in the medial region  511   c  to better convey information describing the adjacency of the transducers corresponding to the transducer graphical elements  502   k  and  502   l . In some example embodiments, a rotation (for example, as described above) about one of the two pole regions  511   a ,  511   b  may be used to position the transducer graphical elements  502   k  and  502   l  adjacently together without any others of the transducer graphical elements  502  positioned therebetween. 
     In some embodiments, the respective transducers of the adjacent pair of transducers (e.g., an adjacent pair of transducers  306 ) corresponding to transducer graphical elements  502   k  and  502   l  are located a same structural member (e.g., a same one of elongate members  304 ). In some embodiments, a region of space that includes a physical portion of the transducer-based device is located between the respective transducers of the adjacent pair of transducers (e.g., an adjacent pair of transducers  306 ) corresponding to transducer graphical elements  502   k  and  502   l . In various embodiments, the rotation mode synchronizes rotation about one of the pole regions  511   a ,  511   b  with the rotation about the other of the pole regions  511   a ,  511   b  such that various transducer graphical elements  502  representative of an adjacent pair of transducers maintain a spatial relationship when rotated into the medial region  511   c  that is consistent with the spatial relationship of the corresponding adjacent transducers. In  FIG. 5F , various columns of adjacent transducer graphical elements  502  radially extend or converge towards each of the pole regions  511   a  and  511   b . The synchronized rotation about one of the pole regions  511   a ,  511   b  with the rotation about the other of the pole regions  511   a ,  511   b  allows each of the columns to continue to radially extend or converge towards each of the pole regions  511   a  and  511   b  at least while the columns are positioned in portion  518   c.    
     In some embodiments, various ones of these manipulation modes may allow the user to better understand a relationship or interaction between the transducer graphical elements  502  and any displayed physiological information (e.g., intra-cardiac information) displayed in the graphical representation (e.g., as described below at least with respect to  FIGS. 5G-5R ). In some embodiments, various ones of these manipulation modes may allow the user to better understand a relationship of various ones of the transducers corresponding to various ones of the transducer graphical elements to facilitate a selection or non-selection thereof. It is noted that various ones of the manipulations modes are not limited to the two-dimensional representation of  FIG. 5F  and may be employed with other forms of two-dimensional representations. For example, in some embodiments, the transducer graphical elements  502   m  and  502   n  respectively identified as “T:5” and “A:5” in  FIG. 5E  correspond to an adjacent pair of transducers (e.g., an adjacent pair of transducers  306 ), but are displayed apart from one another. An up-down panning manipulation (for example, as described above) may be employed to better visualize the adjacency of the transducers corresponding to the transducer graphical elements  502   m  and  502   n  respectively identified as “T:5” and “A:5”. In some embodiments, the respective transducers of the adjacent pair of transducers (e.g., an adjacent pair of transducers  306 ) corresponding to transducer graphical elements  502   m  and  502   n  are located on different structural members (e.g., different or separate ones of elongate members  304 ). In some embodiments, a region of space that does not include any physical portion of the transducer-based device is located between the respective transducers of the adjacent pair of transducers (e.g., an adjacent pair of transducers  306 ) corresponding to transducer graphical elements  502   m  and  502   n.    
     A Mercator projection such as that employed in embodiments associated with  FIG. 5E  may include various distortions in some of the elements (e.g., transducer graphical elements  504 ) at least proximate the boundary regions  517   a ,  517   b  of the projection. In some embodiments, the columns  512  of graphical elements  501  act like converging lines of longitude in a three-dimensional representation (e.g.,  FIGS. 5A, 5B, 5C and 5D ) and the distortions at least proximate the boundary regions  517   a ,  517   b  may be provided to account or compensate for the convergence of columns  512 . It is noted, however, that a panning mode (e.g., a left-right panning mode) that may move one of the boundary regions  517   a ,  517   b  inwardly or centrally within the graphical representation may, in some embodiments, maintain the distortions in the various graphical regions that occupy or move along with the moved one of the boundary regions  517   a ,  517   b . Moving these distorted regions inwardly or centrally within the field of view of the user may not provide, in some cases, a readably understandable representation of various facets of these graphical elements (e.g., a spatial relationship therebetween). The two-dimensional representation depicted in  FIG. 5F , on the other hand, centralizes the graphical elements (e.g., transducer graphical elements  502 ) that are located in the boundary regions  517   a ,  517   b  of  FIG. 5F  centrally proximate the pole regions  511   a ,  511   b  of  FIG. 5F  with reduced levels of distortions. In this regard, the graphical representation of  FIG. 5F  provides a good understanding of the various relationships (e.g., spatial relationships) associated with “pole” areas (e.g., areas where the columns  512  converge like lines of longitude) of the corresponding three-dimensional representation. On the other hand, the graphical representation of  FIG. 5E  provides a good understanding of the various relationships (e.g., spatial relationships) associated with “equatorial areas (e.g., equatorial regions of columns  512  when acting like lines of longitude) of the corresponding three-dimensional representation. In some embodiments, two or more different two-dimensional representations are concurrently displayed via an input-output device system (e.g.,  120 ,  320 ). In some embodiments, both of the two-dimensional representations shown in  FIGS. 5E and 5F  are concurrently displayed via an input-output device system (e.g.,  120 ,  320 ). 
     In each of the  FIGS. 5E and 5F , each of the transducer graphical elements  502  has a respective shape that is the same, or generally the same as, a shape of at least a portion of a corresponding transducer (e.g., transducer  306 ) that the transducer graphical element represents. In some embodiments, each of the transducer graphical elements  502  has a respective shape that is the same, or generally the same, as shape of an electrode (e.g., electrode  315 ) of a corresponding transducer (e.g., transducer  306 ) that the transducer graphical element represents. In each of the  FIGS. 5E and 5F , the shape of each of at least some of the transducer graphical elements  502  is distorted and deviates in some aspects from the respective shape of a corresponding electrode. Unlike a distortion caused by the use of “perspective” (e.g., a varying of an appearance of objects in respect to their perceived relative distance and positions) in corresponding three-dimensional representations (e.g.,  FIGS. 5A, 5B, 5C, 5D ), various graphical elements in  FIGS. 5E and 5F  employ other forms of distortion (for example, as described above in this description). For example, in  FIG. 5F , increased levels of distortions (e.g., increased sizes or dimensions, increased stretching) accompany various ones of the transducer graphical elements  502  that are increasingly spaced from pole regions  511   a  and  511   b . In  FIG. 5E , increased levels of distortions (e.g., increased sizes or dimensions, increased stretching) accompany various ones of the transducer graphical elements  502  that are spaced relatively close to the boundary regions  517   a ,  517   b  as compared with various ones of the transducer graphical elements that are located relatively far from the boundary regions  517   a ,  517   b . In either case, and unlike the perspective-based distortions employed in some three-dimensional representations, some of the more highly distorted transducer graphical elements  504  include enlarged shapes (e.g., relative to less distorted graphical elements  502  displayed centrally in each of two-dimensional representations) and correspond to transducers that would be spaced relatively farther from a viewer (e.g., with the less distorted transducer graphical elements  502  corresponding to transducers that would be spaced relatively closer to the viewer). 
     In some embodiments associated with  FIG. 5F , a rotation mode may be employed to rotate at least some of the transducer graphical elements  502  about one of the pole regions  511   a  and  511   b  and changes in the shape or size of various ones of transducer graphical elements  502  during the rotation may occur. In some embodiments associated with  FIG. 5F , a rotation mode may be employed to rotate at least some of the transducer graphical elements  502  about one of the pole regions  511   a  and  511   b  to vary a level of distortion comprised by various ones of transducer graphical elements  502 . For example, the transducer graphical element  502   o  identified as “A:6” may, in some embodiments, be rotated about pole region  511   b  with its size or level distortion reducing as it rotates toward medial region  511   c.    
     Referring back to  FIG. 6A , the computer-executable display instructions associated with block  604  may include, in some embodiments, various instructions configured to allow for variations in the viewable content of the graphical representation. The computer-executable display instructions associated with block  604  may include various instructions (e.g., computer-executable instructions associated with block  606 ) configured to allow for selective inclusions of the transducer graphical elements  502  and the selective inclusion of the between graphical elements  504  among the graphical representation  500 . (In this regard, although block  606  is shown separately from block  604 , block  606  may be a particular implementation of block  604  and such block may be combined into a single block.) In some example embodiments, the display instructions associated with block  606  may include instructions that allow for the selective inclusion of identification labels  513  that identify various ones of the transducer graphical elements  502 . In various example embodiments, each of the identification labels  513  employs an alpha-numeric format including a letter representative of the column  512  in which a corresponding transducer graphical element is located and a number representative of a location of the transducer graphical element  502  in the corresponding column  512 . Other identification schemes may be employed in other embodiments. 
     Having discussed embodiments associated with blocks  604  and  606  in  FIG. 6A , a discussion will now begin regarding embodiments where block  604  follows block  602 . (Recall that block  606  may be included within block  604 , in some embodiments.) Block  602 , in some embodiments, is associated with instructions (e.g., input or acquisition instructions included in a program) that cause the data processing device system (e.g., data processing device systems  110  or  310 ) to acquire or receive intra-cardiac information. Intra-cardiac information can take various forms, including, but not limited to, e.g., electrical information or a derivation thereof (e.g., electrical potential information, such as intra-cardiac electrogram information; electrical impedance information, such as fluidic or non-fluidic cardiac tissue impedance information; electrical conductivity information, such as fluidic or non-fluidic cardiac tissue electrical conductivity), thermal information or a derivation thereof (e.g., temperature information), fluid property information or a derivation thereof (e.g., blood flow information, blood pressure information), force information or a derivation thereof (e.g., contact information), and mapping information or a derivation thereof (e.g., electrical mapping; physical feature mapping, such as anatomical feature mapping). In various embodiments, intra-cardiac information may be related to any physiological parameter information related to a heart chamber. In various embodiments, intra-cardiac information may include any information related to, or resulting from an interaction with intra-cardiac tissue. By way of non-limiting example, interaction with intra-cardiac tissue may include an interaction made by way of a diagnostic procedure or treatment procedure. 
     Intra-cardiac information may be acquired or received by various methods and from various device systems. For example,  FIG. 6B  shows an exploded view of block  602 , according to some embodiments. The particular implementation of block  602  illustrated in  FIG. 6B  is labeled as block  602 - 1 . In this regard,  FIG. 6B  includes a sub-block  602 - la  associated with computer-executable instructions that receive or acquire the intra-cardiac information via data sampling performed by a transducer-based device system (e.g., which may be at least part of the data input-output device system  120 ,  320 ) deployed externally from an intra-cardiac chamber or cavity (e.g., outside the chamber or cavity or outside a body comprising the chamber or cavity). In this regard, the method  600  may include a sub-block  602 - 1   b  in which the intra-cardiac information is generated (e.g., via generation instructions executable by a data-processing device system, e.g.,  110 ,  310 ) from data provided or sampled (e.g., according to the computer-executable sampling instructions associated with block  602 - 1   a ) by the transducer-based device system deployed externally from the intra-cardiac chamber or cavity. Such generation according to block  602 - 1   b , in some embodiments, may involve the associated instructions configuring the data processing device system (e.g.,  110 ,  310 ) to recognize and identify (e.g., in memory device system  130 ,  330 ) the incoming sampled data or a derivation thereof as a set of respective intra-cardiac information (e.g., as an electrocardiogram or other form of intra-cardiac information discussed herein). By way of non-limiting example, various transducer-based device systems employed as per block  602 - la  may include various fluoroscopy device systems, ultra-sound device system, magnetic resonance device systems, computerized tomography device systems, and transthoracic electrocardiographic mapping device systems. It is noted that some of the embodiments associated with block  602 - la  are considered to employ non-invasive methods or technologies. 
       FIG. 6C  shows an exploded view of block  602 , according to some embodiments. The particular implementation of block  602  illustrated in  FIG. 6C  is labeled as block  602 - 2 . In this regard,  FIG. 6C  includes a sub-block  602 - 2   a  associated with computer-executable instructions that are configured to cause reception or acquisition of the intra-cardiac information via data sampling performed by a transducer-based device system (e.g., which may be at least part of the data input-output device system  120 ,  320 ) deployed internally to an intra-cardiac chamber or cavity. In this regard, the method  600  may include a sub-block  602 - 2   b  in which the intra-cardiac information is generated (e.g., via generation instructions executed by a data-processing device system (e.g.,  110 ,  310 ) from data provided or sampled (e.g., by the sampling instructions associated with block  602 - 2   a ) by the transducer-based device system deployed internally within the intra-cardiac chamber or cavity (e.g., inside the chamber or cavity). Such generation according to block  602 - 2   b , in some embodiments, may involve the associated instructions configuring the data processing device system (e.g.,  110 ,  310 ) to recognize and identify (e.g., in memory device system  130 ,  330 ) the incoming sampled data or a derivation thereof as a set of respective intra-cardiac information (e.g., as an intra-cardiac electrogram or other form of intra-cardiac information discussed herein). By way of non-limiting example, various transducer-based device systems that may be internally deployed within an intra-cardiac chamber include by way of non-limiting example transducer-based device systems  200 ,  300 , where data may be sampled according to the sampling instructions associated with block  602 - 2   a  by each of one or more transducers of the transducer-based device system, a portion of the transducer-based device system including the one or more transducers positionable in a cardiac chamber during the sampling, such that the generation instructions associated with block  602 - 2   b  may be configured to cause generation of the intra-cardiac information based at least in part on the sampled data. Various transducer-based device systems employed as per block  602 - 2   a  may include various intravascularly deployable or percutaneously deployable catheter device systems. Various transducer-based device systems employed as per block  602 - 2   a  may include detection capabilities, mapping capabilities, diagnostic capabilities, treatment capabilities, or any combination thereof. It is noted that some of the embodiments associated with block  602 - 2   a  may be considered to employ invasive methods or technologies. 
     Referring back to  FIG. 6A , the displaying of the graphical representation according to the computer-executable instructions associated with block  604  may, in some embodiments, include causing displaying of a graphical representation of intra-cardiac information generated, acquired, or received according to the computer-executable instructions associated with block  602 . Various embodiments may process or analyze (e.g., according to the instructions associated with block  604 ) the transducer data received by the data processing device system according to the computer-executable instructions associated with block  602  in order to, for example, generate and cause the displayed graphical representation  500  to include the intra-cardiac information. Various embodiments may process or analyze the transducer data received by the data processing device system according to the instructions associated with block  602  in order to, for example, generate and possibly cause the displayed graphical representation  500  to include a map of the intra-cardiac information. In various embodiments, the data is sampled by a transducer-based device system from a plurality of locations in a cardiac chamber and the generation instructions associated with block  602  cause mapping of each of a plurality of parts or values of the intra-cardiac information (which may represent a sensed tissue electrical characteristic or other information) to a respective one of the plurality of locations in the cardiac chamber. In some of these various embodiments, the display instructions associated with block  604  are configured to cause an input-output device system (e.g.,  120 ,  320 ) to display the plurality of parts of the intra-cardiac information with a first spatial relationship that is consistent with a second spatial relationship between the plurality of locations in the cardiac chamber (e.g., a map of the parts of the intra-cardiac information is displayed). In some embodiments, the transducer-based device includes a plurality of transducers (e.g., transducer-based device  200 ,  300 ) and the sampling instructions (e.g.,  602 - 1   a ,  602 - 2   a ) are configured to cause the sampled data to be sampled concurrently from the plurality of locations in the cardiac chamber. 
     It should be noted that some embodiments need not be limited to any particular form of processing or analysis of the transducer data received by the data processing device system according to the instructions associated with block  602 . Although various display procedures can be implemented according to the computer-executable instructions associated with block  604  to display intra-cardiac information, these display procedures can be performed at other times, such as any time during the generation of or after the display of a graphical representation of at least a portion of a transducer-based device (e.g., as per the computer-executable instructions associated with block  606 ). 
     An example of a display of a graphical representation that at least depicts intra-cardiac information according to various embodiments (such as those represented by block  604  in  FIG. 6A ) would be a mapping locating the position of the ports of various bodily openings positioned in fluid communication with a cardiac chamber. For example, in some embodiments, it may be desired to determine intra-cardiac information indicating the locations of various ones of the pulmonary veins or the mitral valve that each interrupts an interior surface of an intra-cardiac cavity such as a left atrium. 
     In some example embodiments, the mapping is based at least on locating such bodily openings by differentiating between fluid and tissue (e.g., tissue defining a surface of a bodily cavity). There are many ways to differentiate tissue from a fluid such as blood or to differentiate tissue from a bodily opening in case a fluid is not present. Four approaches may include by way of non-limiting example: 
     1. The use of convective cooling of heated transducer elements by fluid. A slightly heated arrangement of transducers that is positioned adjacent to the tissue that forms the interior surface(s) of a bodily cavity and across the ports of the bodily cavity will be cooler at the areas which are spanning the ports carrying the flow of fluid. 
     2. The use of tissue impedance measurements. A set of transducers positioned adjacently to tissue that forms the interior surface(s) of a bodily cavity and across the ports of the bodily cavity can be responsive to electrical tissue impedance. Typically, heart tissue will have higher associated tissue impedance values than the impedance values associated with blood. 
     3. The use of the differing change in dielectric constant as a function of frequency between blood and tissue. A set of transducers positioned around the tissue that forms the interior surface(s) of the atrium and across the ports of the atrium monitors the ratio of the dielectric constant from 1 KHz to 100 KHz. Such can be used to determine which of those transducers are not proximate to tissue, which is indicative of the locations of the ports. 
     4. The use of transducers that sense force (e.g., force sensors). A set of force detection transducers positioned around the tissue that forms the interior surface of the bodily cavity and across the bodily openings or ports of the bodily cavity can be used to determine which of the transducers are not engaged with the tissue, which is indicative of the locations of the ports. 
     The graphical interface of  FIG. 5G  includes various regions  525   a ,  525   b , and  525   c  (e.g., part of a plurality if regions collectively referred to as regions  525 ) added to the graphical representation  500  shown in  FIG. 5E . The regions  525  could be displayed according to the instructions associated with block  604  in  FIG. 6A  in some embodiments. Although, such regions  525  could be displayed at other times or according to other instructions. In some embodiments, the graphical interface depicted in  FIG. 5G  is generated after the transducer-based device is received in a bodily cavity having various anatomical features of interest and the drop-down selection box  526  identified as “Surface Map” is activated via the input-output device system to select a mode referred to as “Flow”. Techniques for flow-based mapping techniques are disclosed in commonly assigned U.S. Patent Application Publication No.: US 2008/0004534. In various embodiments associated with various ones of  FIG. 5 , the anatomical features of interest are ports of a mitral valve and various pulmonary veins positioned in fluid communication with an intra-cardiac cavity (e.g., a left atrium in some embodiments). In these various embodiments, the transducers of the transducer-based device are distributed adjacent respective regions in the intra-cardiac cavity that can include relatively lower blood flow regions (e.g., adjacent a tissue surface of the intra-cardiac cavity) and relatively higher flow regions (e.g., over the ports of the intra-cardiac cavity). It is noted that relatively lower blood flow regions in the intra-cardiac cavity may occur when a transducer is positioned in contact with a tissue surface to restrict blood flow at the contacted tissue. In some example embodiments, a relatively large number of transducers in the distribution advantageously allow for each of the transducers to be positioned adjacent their corresponding regions with little or no repositioning of the transducer-based device thereby facilitating an obtaining of transducer-based data concurrently from multiple locations in the bodily cavity. 
     One or more of the above-discussed mapping procedures may be implemented according to instructions associated with block  604  to display a graphical representation  500  that includes intra-cardiac information that indicates at least a portion of one or more anatomical features based at least on an analysis of the transducer data acquired or received according to block  602 . In some of these embodiments, the one or more anatomical features are the ports of various bodily openings (e.g., pulmonary veins, left atrial appendage, mitral valve) positioned in fluid communication with the intra-cardiac cavity and the transducer data includes data containing various blood flow data within the bodily cavity. In various embodiments, the data sampled according to block  602  is temperature data and the graphical representation  500  includes a graphical representation of at least some of the temperature data or a derivation thereof (e.g., a map of temperature distribution in the cardiac chamber). For example, in various embodiments in which the use of convective cooling of heated transducer elements by fluid is employed to distinguish blood flow adjacent to the tissue that forms the interior surface(s) of a cardiac chamber from blood flow across the ports of the cardiac chamber, temperature data associated with the convective cooling can be sampled and displayed to provide the graphical representation of the intra-cardiac information. In  FIG. 5G , the relatively large region  525   a  (e.g., shown as two parts in this particular orientation of the two-dimensional representation) is associated with the mitral valve, region  525   b  is associated with the left atrial appendage, and regions  525   c  are associated with various pulmonary vein groups. Each of the regions  525  is depicted in the graphical representation  500  with a graduated pattern provided by the flow identifier  527   a  in the graphical interface of  FIG. 5G . In some embodiments, flow identifier  527   a  provides a graduated scale from a condition indicated as “Contact” (e.g., when a transducer is contact with cardiac tissue) to a condition indicated as “Flow” (e.g., when a transducer overlies a port in the cardiac chamber). A graduated pattern can be employed to indicate various regions in the graphical representation corresponding to different regions of flow in the intra-cardiac cavity. The identified regions  525  may be identified by any suitable methods including the use of gray-scale patterns, different colors, different opacities, different intensities and different shapes. It is understood that other embodiments may employ other techniques to identify regions in the graphical representation corresponding to a desired anatomical feature. For example, transducer-based data containing blood and tissue impedance information may be employed to determine regions  525  as shown in  FIG. 5H . In various embodiments, drop-down selection box  526  may be operated to allow for the selective inclusion in the graphical representation of impedance data (e.g., tissue impedance data) or conductivity data (e.g., tissue conductivity data) sampled according to the instructions associated with block  602 . In  FIG. 5H , the relatively large region  525 - la  (e.g., shown as two parts in this particular orientation of the two-dimensional representation) is associated with the mitral valve, region  525 - 1   b  is associated with the left atrial appendage, regions  525 - 1   c  are associated with various pulmonary vein groups. Each of the regions  525  is depicted in the graphical representation  500  with a graduated pattern provided by the impedance identifier  527   b  in the graphical interface of  FIG. 5H . In some embodiments, impedance identifier provides a graduated scale from a condition indicated as “Low” (e.g., when a transducer overlying a port in the cardiac chamber is used to measure the electrical impedance of blood) to a condition indicated as “High” (e.g., when a transducer adjacent cardiac tissue is used to measure the electrical impedance of cardiac tissue). A graduated pattern can be employed to indicate various regions in the graphical representation corresponding to different regions of impedance in the intra-cardiac cavity. The identified regions  525  may be identified by any suitable methods including the use of gray-scale patterns, different colors, different opacities, different intensities, and different shapes. It is understood that other embodiments may employ other techniques to identify regions in the graphical representation corresponding to a desired anatomical feature. 
     Identification of the regions  525 , which may represent anatomical features, may be motivated for various reasons. For example, in embodiments in which transducers of transducer-based device are activated to treat, diagnose, or investigate various regions in a bodily cavity, the mapping of various regions  525  and their spatial relationship relative to one another may impact the efficacy of the treatment, diagnostic, or investigative procedure. For example, in situations in which at least some of the transducers of a transducer-based device are employed to ablate various regions within an intra-cardiac cavity (e.g., to treat atrial fibrillation), ablation of a pulmonary vein may result in an undesired condition referred to as pulmonary stenosis. Identification of various ones of the regions  525   c  (e.g.,  525 - 1   c ) in the graphical representation along with their spatial relationship with various ones of the transducers at various times may be employed to reduce occurrences of this undesired condition. 
     Without limitation, other forms of intra-cardiac data (e.g., as received, acquired, provided, generated, or sampled per block  602 ) that may form part of the graphical representation  500  may include pressure data (e.g., blood pressure data, contact pressure data), electrophysiological activation timing data, isochronal data, propagation data, electrophysiological isopotential data, and other electrophysiological voltage data. Without limitation, various maps of intra-cardiac data may include tissue contact maps (e.g., contact maps inferred from flow data, impedance data, conductivity data, which may map an interior tissue surface region of a cardiac chamber), activation maps indicating the local activation times associated with a particular cardiac event, isochronal maps where contour lines may delineate regions of equal activation times associated with a particular cardiac event, propagation maps providing a dynamic representation of the moving activation wave-front associated with a particular cardiac event, isopotential maps, and various other voltage maps associated with intra-cardiac electrical activity. Various representations (e.g., maps) of intra-cardiac information may include portions corresponding to values measured at specific locations within an intra-cardiac cavity and portions corresponding to values that are interpolated (for example, interpolated from values measured at specific locations within an intra-cardiac cavity). 
     In some embodiments, intra-cardiac information is depicted in the graphical representation statically or relatively statically. That is, the displayed intra-cardiac data remains unaltered or relatively unaltered during a defined display period. In some embodiments, intra-cardiac information is depicted in the graphical representation  500  such that variances in the intra-cardiac information are shown occurring over a defined display period. In some embodiments, the graphical representation includes an animation of changes in intra-cardiac information.  FIGS. 5I, 5J, and 5K  show graphical representation  500  including changes in intra-cardiac information occurring at three successive particular times during a display period. In some embodiments, the intra-cardiac information displayed in each of  FIGS. 5I, 5J, and 5K  includes intra-cardiac voltage data showing a distribution of voltage values of intra-cardiac electrogram voltage data sampled (e.g., using a transducer-based device system  200 ,  300 , e.g., according to the instructions associated with block  602 ) at a particular time (e.g., each of the  FIGS. 5I, 5J, and 5K  associated with a respective different particular time), each of the voltage values associated with intra-cardiac electrogram data or information sampled at the particular time at a respective one of a plurality of locations in an intra-cardiac cavity (e.g., by respective transducers). 
     In some embodiments, the displayed voltage values include positive values, negative values, or both positive and negative values. For example, various positive and negative voltage values are indicated in the graphical representation  500  shown in each of  FIGS. 5I, 5J, and 5K , a magnitude and positive or negative indication varying in accordance with the voltage identifier  527   c . The voltage values shown in  FIGS. 5I, 5J, and 5K  may be identified by any suitable methods including the use of gray-scale patterns, different colors, different opacities, different intensities, and different shapes. In some embodiments, a grey-scale or color-scale pattern extending across both a positive and negative range is employed to represent the various voltage values or ranges of voltage values. In various embodiments, at least some of the displayed voltage values may include a peak value corresponding to a peak amplitude portion of a waveform representative of the intra-cardiac electrogram data or information associated with the particular displayed voltage values. In various embodiments, at least some of the displayed voltage values may include a non-peak value corresponding to non-peak amplitude portion of a waveform representative of the intra-cardiac electrogram data or information associated with the particular displayed voltage values. Without limitation, various ones of the displayed voltage values may include derivations of the actual measured voltage values (e.g., values derived from the actual measured voltage values) including RMS values, peak-to-peak values. 
     In various embodiments, the sequence depicted in  FIGS. 5I, 5J, and 5K  shows time-varying changes in the voltage values associated with the intra-cardiac voltage data or information sampled at respective ones of a plurality of locations in an intra-cardiac cavity. By concurrently sensing intra-cardiac voltage data at each of plurality of locations within an intra-cardiac cavity at various successive times, a relationship indicating changes among all the voltage values associated the intra-cardiac voltage data or information sampled at various successive times across all of a plurality of locations in an intra-cardiac cavity is shown. For example,  FIGS. 5I, 5J , and  5 K include a depiction of various voltage values represented by moving wave-front  529  (sometimes referred to as propagation  529 ). In this case, the moving wave-front  529  of voltage values propagates generally in a direction indicated by arrow  529   a  (not part of the graphical representation  500  but provided to clarify the direction of propagation of wave-front  529  shown in the sequence depicted in  FIGS. 5I, 5J, and 5K ). It is understood that the propagation of the wave-front  529  of voltage values is not limited to the direction indicated by arrow  529   a , but rather, is influenced by various physiological factors associated with the flow of various electrical signals within the cardiac tissue. 
     In some embodiments, the appearance of a propagating wave-front  529   a  is caused by changes in the voltage values at each of a plurality of locations in the graphical representation  500 , the changes at each particular location represented by changes in a visual characteristic of the voltage value at that particular location. In this regard, an essentially real-time or quasi-real-time representation of the propagation of various electrical signals within an intra-cardiac cavity may be depicted. 
     It is noted that in various example embodiments such as those associated with various ones of  FIGS. 5G, 5H , SI,  5 J, and  5 K, at least some of the graphical elements  501  (e.g., transducer graphical elements  502 , between graphical elements  504 ) are depicted as overlaid or superimposed on the displayed graphical representation  500  that includes a depiction of the acquired intra-cardiac information. In various embodiments, various ones of the graphical elements  501  (e.g., various ones of the transducer graphical elements  502 ) are depicted with a transparent, semi-transparent, or translucent appearance that allows a user to view regions of the intra-cardiac information that underlie each of the various ones of the graphical elements  501  or visual changes in the regions of the intra-cardiac information that underlie each of the various ones of the graphical elements  501 . This configuration can be especially advantageous when one hundred, two hundred, or even more transducers are employed percutaneously to sample or gather the intra-cardiac information from a cardiac chamber. A graphical representation  500  that employs a similar, equal, or greater number of graphical elements  501  (e.g., transducer graphical elements  502 , between graphical elements  504  or both transducer graphical elements  502  and between graphical elements  504 ) may obstruct a required viewing of the displayed intra-cardiac information, especially when transducer graphical elements  502  having a shape consistent with the shapes of corresponding ones of the transducers are employed or when transducer graphical elements having distorted appearances (e.g., enlarged distorted appearances described above) are employed. These situations may be effectively mitigated by the use of various graphical elements  501  having a transparent, semi-transparent, or translucent appearance. 
     Having described examples of the graphical representation (e.g.,  500 ) displayed according to the instructions associated with block  604  in  FIG. 6A , the definition of a graphical path (e.g., via input-output device system  120 ,  320 ) within or among such graphical representation (e.g.,  500 ) will be described, according to some embodiments. In this regard, instructions associated with block  610  in  FIG. 6A  may configure a data processing device system (e.g.,  110 ,  310 ) to define, display, or both define and display such a graphical path. In various embodiments, the graphical path is defined, displayed, or both defined and displayed as including a plurality of the graphical elements  501 , according to the instructions associated with block  610 . 
     For example, as shown in  FIG. 5L , a user may locate a mouse cursor over a transducer graphical element  502   g , depress a mouse button at that time, and while continuing to depress the mouse button (e.g., maintaining its activated state), move the mouse cursor  519  over transducer graphical element  502   h  ( FIG. 5M ), then to transducer graphical element  502   j  (e.g., from location  519   a  to location  519   b  generally following a path indicated by arrow  539  (not part of the displayed output) in  FIG. 5N ), then around a loop back to transducer graphical element  502   g  (e.g., from location  519   b  around the graphical path corners to location  519   c  in  FIG. 5O , then to location  519   d  in  FIG. 5P  and location  519   e  (e.g., ending at between graphical element  504   f ) in  FIG. 5Q ) to define the rectangular-shaped graphical path shown by highlighted transducer graphical elements ( FIGS. 5M-5Q ), and at such time, release the mouse button (e.g., causing its deactivated state), according to some embodiments. According to some embodiments, the progression of movements of the mouse cursor  519  from  FIG. 5L-5Q  progressively selects the respective graphical elements (transducer graphical elements  502  in this example, but also or instead, between graphical elements  504  in other embodiments). (For clarity, only part of the graphical interface shown in other various ones of  FIG. 5  is shown in  FIGS. 5L, 5M, 5N, 5O, 5P and 5Q .) The data processing device system (e.g.,  110 ,  310 ) may be configured by the instructions associated with block  610 , according to some embodiments, to interpret at least (a) the initial depression of the mouse button and the location of the mouse cursor at that time to be the initiation of a definition of a graphical path at the graphical element  501  closest to the location of the mouse cursor; (b) the subsequent movement of the mouse cursor while the mouse button is depressed to be the definition of an intermediate portion of the graphical path, which may include an intermediate location at a particular graphical element  501  or may include at least one elongate path portion including a plurality of graphical elements  501  in a row; and (c) the release of the mouse button to be the termination of the definition of the graphical path at a graphical element  501  closest to the location of the mouse cursor at the time of the release of the mouse button. It is noted that the use of mouse cursor  519  is employed in  FIG. 5  merely for the convenience of discussion, and other embodiments may employ other forms of motion-based user input elements (e.g., sliding of contact across a touch screen or touch pad or the movement of other pointing-based interfaces) of other forms of indicators employed by various motion-based user input elements. In addition, other or additional user input or inputs than those discussed above may be required to enable definition of a graphical path. In this regard, it should be noted that various other embodiments are not limited to the details of these embodiments, which are referred to for purposes of illustration only. 
     Further in this regard, the graphical path defined in accordance with the instructions associated with block  610  may be displayed in various forms, shapes, or configurations including embodiments that include, by way of non-limiting example, an elongated portion, a continuous portion, an interrupted portion, a linear portion, an arcuate portion, a portion defining an obtuse angle, a portion defining an acute angle, a beginning portion (e.g., a portion defining or associated with a beginning or start of the definition of the graphical path), an end portion (e.g., a portion defining or associated with an end or termination of the definition of the graphical path), an open or closed circumferential portion, or any combination thereof. In various embodiments, a graphical path defined in accordance with the instructions associated with block  610  may include a plurality of graphical-path-elements, which may be graphical elements  501 , such as transducer graphical elements  502 , between graphical elements  504 , or both. In various embodiments, a graphical path defined in accordance with the instructions associated with block  610  may include selection of some but not all of a plurality of selectable graphical-path-elements, such as graphical elements  501 . 
     The definition of the graphical path in accordance with the instructions associated with block  610  may be accomplished at least in part by execution of such instructions by the data processing device system (e.g.,  110 ,  310 ) in response to various user instructions, inputs, or actions. For instance, in some embodiments, a user instruction, input or action may originate from a user clicking a mouse button over a particular region or regions of graphical representation  500 . In this case, various instructions may configure the data processing device system to recognize this user instruction when it is received via an input-output device system (e.g.,  120 ,  320 ) as a user instruction to form or define at least a portion of the graphical path. In some embodiments, the definition of the graphical path need not be defined according to user-input and, in some embodiments, may be automatically defined, e.g., based on anatomical feature locations (e.g., one or more regions  525 —see  FIG. 5Q , e.g.). 
     In some embodiments where user input facilitates graphical path definition, method  600  may include a block  608  associated with input-processing instructions indicating reception or reception and processing of various user inputs. In some embodiments, the instructions associated with block  608  include instructions (e.g., associated with block  608   a ) configured to cause reception of first user input via an input-output device system (e.g.,  120 ,  320 , such as a mouse button click), and in response to receiving the first user input, place a first user input element in an activated state (e.g., the data processing device system  110 ,  310  records in memory device system  130 ,  330  that the mouse button is in an activated state due to reception of an indication of the mouse button click). In some embodiments, input-processing instructions associated with block  608  include instructions (e.g., associated with block  608   b ) configured to cause reception of second user input via an input-output device system (e.g.,  120 ,  320 , such as a release of the mouse button), and in response to receiving the second user input, place the first user input element in a deactivated state (e.g., the data processing device system (e.g.,  110 ,  310 ) records in memory device system (e.g.,  130 ,  330 ) that the mouse button is in a deactivated state due to reception of an indication of the mouse button release). In some embodiments, input-processing instructions associated with block  608  include instructions (e.g., associated with block  608   c ) configured to cause reception of motion-based user input via an input-output device system (e.g.,  120 ,  320 , such as movement of the mouse cursor). 
     In various embodiments, the graphical path definition instructions associated with block  610  are configured to define a graphical path among the displayed graphical representation (e.g.,  500 ) including a first location, a second location, and a third location, according to the instructions associated with blocks  610   a ,  610   b , and  610   c . In some embodiments, the instructions associated with block  610   a  configure the data processing device system (e.g.,  110 ,  310 ) to define the first location (e.g., an initial or first graphical element or element set (e.g.,  502   g  in the example of  FIG. 5L )) on the graphical path being defined according to a first parameter set associated with the first user input (e.g., a location (an example of a parameter) of the mouse cursor when the mouse button is clicked (an example of the first user input)). In some embodiments, the instructions associated with block  610   b  configure the data processing device system to define the second location (e.g., a terminating or second graphical element or element set (e.g.,  502   g  closing the loop in the example of  FIG. 5Q )) on the graphical path according to a second parameter set associated with the second user input (e.g., a location (an example of a parameter) of the mouse cursor when the mouse button is released (an example of the second user input)). In some embodiments, the instructions associated with block  610   c  configure the data processing device system to define the third location (e.g., a third or internal or intermediate graphical element or element set between the initial and terminating graphical elements or graphical element sets (e.g.,  502   i  in the example of  FIG. 5N ) on the graphical path other than the first and the second locations according to a path traced by the motion-based user input (e.g., movement of the mouse cursor). In some embodiments, the third, intermediate location on the graphical path is part of an elongate path portion of the graphical path (e.g., the row of four transducer graphical elements including transducer graphical elements  502   h ,  502   i , and  502   j  in the example of  FIG. 5N ). In this regard, the instructions associated with block  610   d  may configure the data processing device system to define the elongate path portion on the graphical path according to the path traced by the motion-based user input. However, in some embodiments, the elongate path portion and the third location may be distinct. 
     In various embodiments, as discussed above, the first user input (e.g., a mouse button click) precedes the motion-based user input (e.g., the movement of the mouse cursor) in the definition of the graphical path. Also, as discussed above, in some embodiments, the first and the second locations defined on the graphical path indicate respective ends or terminations of the graphical path. In some embodiments, one of the first and the second locations may be a location of a portion of the graphical path defined first during the definition of the graphical path and the other of the one of the first and the second locations may indicate a location of a portion of the graphical path defined last during the definition of the graphical path. In some embodiments, one of the first and the second locations may be a location of a portion of the graphical path displayed first (e.g., via in the input-output device system (e.g.,  120 ,  320 ) in accordance with display instructions associated with block  612 ) during a display of the graphical path, and the other of the first and the second locations may be a location of a portion of the graphical path displayed last (e.g., via in the input-output device system (e.g.,  120 ,  320 ) in accordance with the display instructions associated with block  612 ) during the display of the graphical path. In some embodiments, the first and the second locations indicate a same location or substantially the same location on the graphical path, such as when the graphical path is a closed path (e.g., a path having a closed form or continuous form, a looped form or circumferential form, like the example of  FIG. 5Q ). In some embodiments involving a closed path or substantially closed path, one of the first and the second locations may be a location of a portion of the graphical path defined or displayed first and the other of the first and the second locations may indicate a location of a portion of graphical path defined or displayed last, the first and the second locations sufficiently close to one another to impart a closed form or the appearance of the closed form onto the graphical path. 
     Definition of the graphical path may be motivated by different reasons. For example, in some embodiments, an activation (e.g., according to instructions associated with block  614 ) of various transducer sets of a transducer-based device (e.g.,  200 ,  300 , or  400 ), initiated during or after the completion of the definition of the graphical path according to the instructions associated with block  610 , may cause energy sufficient for tissue ablation along an ablation path corresponding to the defined graphical path. In other words, for example, transducers in the transducer-based device that correspond to the selected transducer graphical elements  502  in the graphical path may be activated, such as being caused to transmit energy sufficient for tissue ablation along an ablation path corresponding to the defined graphical path, according to some embodiments. Advantageously, in some embodiments, the ability to define a graphical path based at least on a graphical representation that includes at least a representation of intra-cardiac information may allow for enhanced results, or a possible reduction in undesired results during a subsequent ablation of cardiac tissue within an intra-cardiac cavity (e.g., an intra-cardiac cavity that is the source of the intra-cardiac information discussed above) when the graphical path acts as a template for a desired ablation path. In this regard, a desired ablation path may be defined based at least on a modeled graphical path that may be generated based at least on various possible constraints indicated by the graphical representation of the intra-cardiac information. For example, various representations of intra-cardiac information that indicate at least a portion of one or more anatomical features (e.g., regions  525 , which may represent various cardiac ports provided by the pulmonary veins, left atrial appendage, or mitral valve as shown in  FIGS. 5G and 5H  by way of non-limiting example) may be used to assist a user or the data processing device system (e.g.,  110 ,  310 ) in defining a graphical path that acts as a basis for a subsequent ablation path that takes into consideration (e.g., avoids) these anatomical features and reduce occurrences of undesired complications (e.g., stenosis which may arise if ablative energy is applied to particular ones of these anatomical features). 
     In various embodiments, as discussed above, the graphical representation  500  may include a representation of various transducers (e.g., by way of transducer graphical elements  501 ) of a transducer-based device (e.g.,  100 ,  200 ,  300  or  400 ) positioned within the intra-cardiac cavity. For example, a mapping indicating a particular positioning, pose, or orientation of the transducer-based device in the intra-cardiac cavity, and in particular, a spatial positioning between various ones of the transducers and various regions of the depicted intra-cardiac information may be displayed. In some of these various embodiments, the graphical representation  500  may form a basis for the definition of a particular graphical path that identifies particular ones of the transducers that may be suitable to perform ablation along an ablation path corresponding to the defined graphical path. Other motivations may drive the definition of the graphical path in other embodiments. In some embodiments, various combinations of the display instructions associated with block  604 , the display instructions associated with block  606 , and the display instructions associated with block  612  are provided by a same set of display instructions. 
     Referring back to the examples of  FIGS. 5L-5Q , in some embodiments, the first user input (e.g., which may initiate the definition of a new graphical path) includes at least engaging a first user input element, and the second user input (e.g., which may indicate the termination of the definition of the graphical path) includes at least disengaging the first user input element. For example, the first user input element may include a keyboard key, a mouse button, a touch screen, or any other user input element capable of being engaged and disengaged. In some embodiments where the first user input includes an engaging of the first user input element, the first user input may include a pressing (or otherwise engaging with) the keyboard key, the mouse button, or the touch screen, for example. In the case of a touch screen, the engaging may include an initiation of user-contact with the touch screen, although the touch screen may be configured to interact with other entities, such as a stylus. In some embodiments where the second user input includes a disengaging of the first user input element, the second user input may include a releasing (or otherwise disengaging) the keyboard key or the mouse button, or a cessation of contact from the touch screen, for example. In either or both of the engaging and disengaging cases, the data processing device system (e.g.,  110 ,  310 ) may be configured to register in a memory device system (e.g.,  130 ,  330 )) that the user input element is in an activated or deactivated state, respectively, in response to registering or identifying that the engaging or disengaging of the first user input element has occurred. It is noted that other embodiments are not limited to the above example embodiments of first user input elements. 
     In some embodiments, the first user input includes engaging at least two user input elements (e.g., to initiate the definition of a new graphical path, according to some embodiments) of an input-output device system (e.g.,  120 ,  320 ). For example, a combination of an engaging of a keyboard key and a mouse click, or some other combination of user input elements may be required to initiate the definition of a new graphical path, according to some embodiments. In some of these embodiments, the second user input may include at least a disengaging at least one but not all of the at least two user input elements. 
     In this regard, the data processing device system (e.g.,  110 ,  310 ) may be configured to require particular user input to enable the definition of a graphical path prior to or concurrently with receiving user input that defines an initial location on the graphical path.  FIG. 6D  illustrates various blocks associated with instructions that may configure the data processing device system to operate in this manner. In particular,  FIG. 6D  illustrates various embodiments of the input-processing instructions associated with block  608  (e.g., identified as  608 - 1  in  FIG. 6D ) in which at least two user input elements are employed, according to some embodiments. Block  608 - 1  in  FIG. 6D  includes additional sub-blocks  608   d  and  608   e , as compared to block  608  in  FIG. 6A . 
     The input-processing instructions associated with sub-block  608   d  may be configured to cause reception of a third user input other than the first user input (e.g., which may facilitate definition of a first location in a new graphical path; see, e.g., block  608   a ), the second user input (e.g., which may facilitate definition of a terminating location of the graphical path; see, e.g., block  608   b ) and the motion-based user input (e.g., which may facilitate definition of the intermediate locations of the graphical path; see, e.g., block  608   c ). In various embodiments, the graphical path definition instructions associated with block  610  are configured to require the reception of the third user input in order to enable definition of some or all of the graphical path. 
     For example, in user interfaces where functionality of a user input element is overloaded (e.g., has many functions), or in implementations where the definition of a graphical path has important consequences (e.g., being a precursor to causing tissue ablation), it may be beneficial to require an additional user input element into an activated state in order to allow definition of some or all of the graphical path. For instance, instead of requiring only a mouse click (an example of a first user input element) to begin definition of a graphical path, it may be beneficial to require the pressing of a particular keyboard key (an example of a second user input element) prior to or concurrently with the mouse click to enable the definition of the graphical path. 
     In some embodiments, the data processing device system (e.g.,  110 ,  310 ) is configured to require an engaging of the second user input element (e.g., placing it into an activated state) to enable definition of the intermediate portion or location(s) in the graphical path. For example, engaging of the second user-input (e.g., a depression of a particular keyboard key) need not be required to allow definition of the initial location in the graphical path (e.g., by a mouse click), but may be required to allow the definition of the intermediate locations (e.g., third location per block  610   c , elongate path portion per block  610   d  (or  610   e  discussed below)) by way of a path traced by the motion-based user input, according to some embodiments. Such a circumstance may allow, e.g., selection of the transducer graphical element  502   g  in  FIG. 5L  by way of a mouse click at the location of the cursor  519 , but would not allow selection of the transducer graphical element  502   h  in  FIG. 5M  (or the subsequent transducer graphical elements in  FIGS. 5N-5Q ) by the motion-based user input until the second user input is engaged (e.g., by depression of a particular keyboard key), according to some embodiments. Such circumstance may provide a user with feedback acknowledging an intent to form a new graphical path by allowing selection of transducer graphical element  502   g , but may require the user to more intently focus on forming the path traced by the motion-based user input, which can be erratic, to form the intermediate portions of the graphical path, by requiring the engagement of the second user input element to do so. 
     In this regard, in some embodiments, the input-processing instructions associated with block  608 - 1  (sub-block  608   d ) are configured to cause the second user input element to be placed in a respective activated state in response to receiving the third user input. For example, the third user input might be the depression of a particular keyboard key, which may be an example of the second user input element. In some embodiments, the second user input element may be another keyboard key other than a keyboard key employed as the first user input element. The second user input element may, in some embodiments, be a selectable region of a touch screen other than a particular region of the touch screen employed as the first user input element. Accordingly, it should be noted that various embodiments are not limited to any particular user input elements or combinations thereof. In various embodiments, the graphical path definition instructions associated with block  610  may be configured to require that the first user input element and the second user input element be in their respective activated states in order to at least enable a definition of at least a portion of the graphical path. In some embodiments, the third user input may be required in addition to at least the first user input to enable the graphical path definition instructions associated with block  610  to cause a definition of at least part of the graphical path. It is noted that, in some embodiments, the presence of the third user input (or the second user input element being in an activated state) may be required to enable initiation of definition of at least a portion of the graphical path, but may not be required to allow a subsequent definition of at least a portion of the graphical path (e.g., an intermediate location or elongate path portion thereof). For example, the data processing device system (e.g.,  110 ,  310 ) may be configured to require depression of a particular keyboard key (e.g., to place that keyboard key in an activated state) to initiate definition of the graphical path, but may allow release of the particular keyboard key (e.g., to place that keyboard key in a deactivated state) during subsequent definition of the graphical path while continuing to allow such subsequent definition. 
     The release of the second user input element may be considered a fourth user input, according to some embodiments. In this regard, the input-processing instructions associated with block  608 - 1  may further include instructions associated with sub-block  608   e , which configure the data processing device system (e.g.,  110 ,  310 ) to receive a fourth user input other than the motion-based user input and the first, the second, and the third user inputs. Such input-processing instructions may be configured to cause the second user input element to be placed in a respective deactivated state in response to receiving the fourth user input. In some embodiments, the path definition instructions associated with block  610  are configured to cause definition or further definition of the elongate path portion of the graphical path according to the path traced by the motion-based user input (e.g., via the instructions associated with block  610   d ) even though the fourth user input has been received and the second user input element has, consequently, been placed in the respective deactivated state. In this regard, the fourth user input may be received by the data processing device system (e.g.,  110 ,  310 ) before or during the motion-based user input. However, such timing is not required, and the fourth user input may be received after conclusion of the motion-based user input (e.g., when the second user input is received, which may terminate definition of the graphical path). 
     In this regard, the above discussion mentions that the graphical-path-enabling user input (e.g., the third user input that places the second user input element in the activated state) occurs prior to or concurrently with the graphical-path-initiating user input (e.g., the first user input that places the first user input element in the activated state), according to some embodiments, but this timing is not required. For example, in some embodiments, the first user input-element may be in an activated state prior to receipt of the graphical-path-enabling user input. In such a circumstance, the enabling of the graphical path does not occur until both the first user input element and the second user input element are in activated states, according to some embodiments. 
     It is noted that in various embodiments, the first user input element remains in the activated state (e.g., as per the instructions associated with block  608   a ) during the motion-based user input. In some embodiments, placement of the first user input element into its activated state as per the instructions associated with block  608   a  precedes a selection of a set of one or more graphical elements or a set of one or more graphical-path-elements. In some embodiments, placement of the first user input element into its activated state as per the instructions associated with block  608   a  is required at least in part to move a particular user input element from a first state that does not allow for a selection of a set of one or more graphical elements or a set of one or more graphical-path-elements to be made to a second state that does allow for a selection of a set of one or more graphical elements or a set of one or more graphical-path-elements to be made. In various embodiments, where a graphical path is traced in accordance with a motion-based user input, a selection of various graphical elements along the path may occur solely on the basis of the motion-based user input without the requirement for the activation or deactivation of a particular user input element (e.g., a particular user input element employed to at least in part provide the motion-based user input or a particular user input element that is not employed to at least in part provide the motion-based user input). 
     In some embodiments, each of the first user input (e.g., a graphical-path-initiating input) and the second user input (e.g., a graphical path termination input) may facilitate identification or selection of more than one graphical element  501 .  FIG. 6E  shows examples of at least a portion of the path definition instructions associated with block  610  (e.g., identified as  610 - 1  in  FIG. 6E ) employed according to some embodiments to configure a data processing device system (e.g.,  110 ,  310 ) to accommodate such multi-graphical-element identification or selection. For example, in some embodiments, the first user input (e.g., a depression of a mouse button) might occur over a between graphical element  504  (e.g.,  504   c  in  FIG. 5M ) associated with a respective plurality of transducer graphical elements  502  (e.g., between a pair of transducer graphical elements  502   g ,  502   h  in  FIG. 5M ). In this case, in some embodiments, the instructions associated with at least block  610 - 1  may configure the data processing device system (e.g.,  110 ,  310 ) to indicate a selection of the associated respective plurality of transducer graphical elements  502  (e.g.,  502   g ,  502   h ; an example of a graphical element set) in response to receiving the first user input (e.g., according to the instructions associated with block  610 - 1   a ). 
     A corresponding configuration may apply to the second user input, where the second user input (e.g., a release of the mouse button) occurs over a between graphical element  504 . In this case, in some embodiments, the instructions associated with at least block  610 - 1  may configure the data processing device system (e.g.,  110 ,  310 ) to indicate a selection of the respective plurality of transducer graphical elements  502  (an example of a graphical element set) associated with the between graphical element  504  in response to receiving the second user input (e.g., according to the instructions associated with block  610 - 1   b ). In some embodiments, the graphical element set selected according to the second user input includes at least one transducer graphical element  502  that is other than a transducer graphical element  502  selected according to the first user input. For example, the first user input might cause selection of transducer graphical elements  502   g ,  502   h  in  FIG. 5M , and the second user input might cause selection of transducer graphical elements  502   g  and the transducer graphical element adjacent  502   g , but on the opposite side compared to transducer graphical element  502   h . Or, the graphical path need not be closed loop like that shown in  FIG. 5Q , which may cause the transducer graphical elements selected according to the first user input and the second user input to be mutually exclusive, according to some embodiments. 
     The motion-based user input (e.g., movement of the mouse cursor  519 ) may also facilitate identification or selection of a plurality of graphical elements  501 , such that the instructions associated with at least block  610 - 1  may configure the data processing device system (e.g.,  110 ,  310 ) to indicate a selection of the respective plurality of graphical elements  501  (an example of a graphical element set) in response to receiving the motion-based user input (e.g., according to the instructions associated with block  610 - 1   c ). In some embodiments, the graphical element set selected according to the motion-based user input includes at least one transducer graphical element  502  that is other than a transducer graphical element  502  selected according to the first user input. 
     It should be noted that, although the above examples refer to the selection of a between graphical element  504  to cause the selection of a plurality of other graphical elements (e.g., transducer graphical elements  502 ), other embodiments are not limited to any particular technique for selecting a plurality of graphical elements. Further, although these examples refer to a plurality of graphical elements  501  being a graphical element set, a graphical element set may only include a single graphical element in various embodiments. 
     In this regard, in some embodiments, the graphical element set selected according to the first user input (e.g., block  610 - 1   a ), the graphical element set selected according to the second user input (e.g., block  610 - 1   b ), the graphical element set selected according to the motion-based user input (e.g., block  610 - 1   c ), or a combination of some or all of the first user input, the second user input, and the motion-based user input may include a group of transducer graphical elements. In this regard, each group of transducer graphical elements may correspond to a respective one of a plurality of groups of adjacent transducers, according to some embodiments. For example, the first user input might cause selection of a group of adjacent transducer graphical elements  502   g ,  502   h  in  FIG. 5M , which may correspond to a respective group of adjacent transducers  306  in  FIG. 3C , according to some embodiments. Similar examples apply to the second user input and the motion-based user input. 
     As discussed above, in various embodiments, a graphical path defined in accordance with the instructions associated with block  610  may include a selection of various ones of a plurality of selectable graphical-path-elements, which may be graphical elements  501 . Each of the selected graphical-path-elements may be arranged along the graphical path. In various embodiments, a graphical path defined in accordance with the instructions associated with block  610  may include a selection of various ones of a plurality of selectable graphical-path-elements, each selected one of the selectable graphical-path-elements defining a respective portion of the graphical path. 
     In this regard, the selection according to the instructions associated with block  610 - 1  includes, in some embodiments, multiple constituent or sub-selections (although in other embodiments, the selection according to the instructions associated with block  610 - 1  includes selection instructions configured to cause, due to execution of the selection instructions by the data processing device system (e.g., exemplified by data processing device systems  110  or  310 ), selection of a graphical element. In some embodiments, such selection instructions include a first group of instructions configured to cause the data processing device system to receive or process, via the input-output device system, a user instruction to select a graphical element. In some of these embodiments, such selection instructions also include a second group of instructions configured to cause the data processing device system to perform its own selection of the graphical element in response to receiving the user instruction. For instance, the user instruction to select the graphical element might originate from a user clicking a mouse button (e.g., a first constituent selection) while a cursor is above or within a display region of a user-selected graphical element. In this case, the first group of instructions could configure the data processing device system to recognize this user instruction when it is received via the data input-output device system as a user instruction to select the user-selected graphical element below the cursor at the time of the mouse-button click. In some embodiments, the second group of instructions may configure the data processing device system, in response to the first group of instructions recognizing this user instruction, to perform its own selection (e.g., a second constituent selection) of the user-selected graphical element at least by causing, via the input-output device system, the display of the user-selected graphical element to change one or more visual characteristics of the user-selected graphical element. Accordingly, the selection according to various ones of the instructions associated with block  610 - 1  may be deemed, in some embodiments, to involve a first, user-based constituent selection and a second, machine-based or automatic constituent selection triggered by the user-based constituent selection. 
     Although a mouse click was provided above as an example of a user-based constituent selection, and the changing of a visual characteristic of the user-selected graphical element was provided as an example of a machine-based constituent selection, it should be noted, however, that any form of user-based selection or machine-based selection of a graphical element known in the art can be used. In this regard, direct interaction with a graphical element itself (e.g., by way of a mouse click on the graphical element) is not required to directly select the graphical element or its corresponding transducer. For example, in some embodiments, a user might type a unique identifier associated with a graphical element or transducer via a keyboard, which can cause direct selection of that graphical element or transducer. 
     Further, although a user-based constituent selection of a user-selected graphical element followed by a machine-based constituent selection of that user-selected graphical element was provided above as an example of constituent selections involved with block  610 - 1 , it should be noted that a user-based constituent selection of a first user-selected graphical element can also cause a machine-based constituent selection of a second, different, non-user-selected graphical element. For example, in some embodiments, a user-performed mouse click while the mouse cursor is above or within a display region of a user-selected between graphical element  504  (e.g., a user-based constituent selection) can cause, possibly among other things, a machine-based constituent selection of the non-user-selected transducer graphical elements  502  at each end of the user-selected between graphical element  504 . In this regard, the phrase, “user-selected”, when used herein to describe a selected graphical element (e.g., a transducer graphical element or a between graphical element), is intended to refer to a graphical element directly selected by a user, as opposed to a non-user-selected graphical element, which is a machine-selected graphical element that is machine-selected either in response to no user instruction to select any graphical element or in response to a user instruction to select a user-selected graphical element different than the machine-selected graphical element. In cases where a user selection of a user-selected graphical element causes a machine-selection of a different graphical element, it can be said that the different graphical element is indirectly selected by the user. 
     Further still, although a user-based constituent selection followed by a machine-based constituent selection was provided above as an example of constituent selections involved with block  610 - 1 , it should be noted that any number of constituent selections, whether user-based or machine-based, can be involved with block  610 - 1 . For example, depending upon how the user interface is structured, one or more user-based constituent selections may result in one or more machine-based constituent selections. For instance, multiple user gestures might be required to identify a particular user-selected graphical element in order to cause the data processing device system to change the visual characteristics of (or provide another form of selection of) the particular user-selected graphical element. For example, according to some embodiments, the above-discussed first user input (e.g., block  610 - 1   a ) might be a combination of the pressing of two keyboard keys, at least in part, concurrently, to place the first user input element (e.g., the two keyboard keys) in an activated state to change the visual characteristics of a correspondingly selected transducer graphical element (e.g.,  502   g  in  FIG. 5L ). If the same multi-key approach was applied to the selection of a between graphical element (e.g.,  504   c  in  FIG. 5M ), the data processing device system (e.g.,  110 ,  310 ) may be configured to respond with at least two machine-based constituent selections to change the visual characteristics of the corresponding transducer graphical elements (e.g.,  502   g ,  502   h  in  FIG. 5M ), according to some embodiments. 
     Further still, although one or more user-based constituent selections followed by one or more machine-based constituent selections was provided above as an example of constituent selections involved with block  610 - 1 , it should be noted that block  610 - 1  might not involve any user-based constituent selections in some embodiments. For example, graphical element selection according to block  610 - la  might occur based upon data received from transducers, and this data might result in one or more machine-based or automatic constituent selections performed by the data processing device system. 
     It should be noted that, whenever a selection of a graphical element is discussed herein, such selection, in some embodiments, may include the above-discussed constituent selections, according to some embodiments. However, the above-discussed constituent selections are not limited to just selections of graphical elements and can apply to any selection described herein. For example, one or more user-based constituent selections of a user-selected graphical element can lead to one or more machine-based constituent selections of the user-selected graphical element or some other graphical element(s), which can lead to one or more machine-based selections of one or more transducers corresponding to the machine-selected graphical elements, the machine-based selection(s) of the one or more transducers possibly causing an activation of the one or more transducers. For another example, one or more user-based constituent selections of a user-selected graphical element can lead to one or more machine-based constituent selections of one or more data objects associated with the user-selected graphical element, one or more other associated graphical elements, one or more transducers associated with the user-selected graphical element, or one or more other objects associated with the user-selected graphical element, such as for purposes of viewing or changing properties of the one or more data objects or causing an activation based upon information provided by the one or more data objects. 
     In some embodiments, the graphical path defined according to the instructions associated with block  610  (e.g., by way of the first user input, the second user input, the motion-based user input, or a combination of some or all of the first, second, and motion-based user inputs) includes transducer graphical elements  502 , between graphical elements  504 , or both transducer graphical elements  502  and between graphical elements  504 . In some embodiments, the graphical path includes a continuous series of selected transducer graphical elements  502  and selected between graphical elements  504 . In some embodiments, the between graphical elements  504  forming at least part of the graphical path are interleaved with the transducer graphical elements  502  forming at least part of the graphical path. 
     In some embodiments, at least selected ones of the between graphical elements  504  include an elongated portion extending between two respective ends, each of the respective ends located at least proximate a respective one of two transducer graphical elements  502 , according to some embodiments. For example, various ones of  FIG. 5  illustrate each between graphical element  504  as a line between two transducer graphical elements  502 . However, the invention is not limited to such a representation of a between graphical element  504 , and between graphical elements  504  need not be lines (or elongated portions) or contact their respective transducer graphical elements  502 . In some embodiments where an intermediate portion of the graphical path includes an elongate path portion, an elongated portion of each of at least some of the selected between graphical elements  504  may provide at least part of the elongate path portion. 
     As discussed above with respect to  FIG. 3D  and regions of space  350 ,  360 , at least some between graphical elements  504  (e.g.,  504   c ) may each be associated with a region of space that is not associated with any physical part or portion of the corresponding transducer-based device system. In some embodiments, at least some between graphical elements  504  (e.g.,  504   c ) may each be associated with a region of space that does not include any transducer (e.g., either between elongate members  304  or along a same elongate member  304 ), the region of space being between transducers in a group of adjacent transducers (e.g., transducers  306  corresponding to transducer graphical elements  502   g ,  502   h , in the case of between transducer graphical element  504   c  in  FIG. 5M ). In some embodiments, at least some between graphical elements  504  (e.g.,  504   d  in  FIG. 5N ) may each be associated with a region of space that is associated with a physical part or portion of the transducer-base system (e.g., a region of space along a same elongate member  304  between transducers  306  associated with transducer graphical elements  502   i ,  502   j , in the case of between graphical element  504   d  in  FIG. 5N ). 
     According to some embodiments, block  612  in  FIG. 6A  is associated with instructions configured to cause the data processing device system (e.g.,  110 ,  310 ) to display the graphical path defined according to the instructions associated with block  610 . As discussed above, the graphical path defined in accordance with the instructions associated with block  610  may be displayed according to the instructions associated with block  612  in various forms, shapes, or configurations including embodiments that include, by way of non-limiting example, an elongated portion, a continuous portion, an interrupted portion, a linear portion, an arcuate portion, a portion defining an obtuse angle, a portion defining an acute angle, a beginning portion (e.g., a portion defining or associated with a beginning or start of the definition of the graphical path), an end portion (e.g., a portion defining or associated with an end or termination of the definition of the graphical path), an open or closed circumferential portion or path, or any combination thereof. 
     In cases where the graphical path is represented at least in part in an interrupted form including at least an interrupted portion, such interrupted portion may be caused, at least in part, by between graphical elements  504  that do not connect to their associated transducer graphical elements  502 , unlike the connecting between graphical elements  504  as shown in various ones of  FIG. 5  (e.g., each of  FIG. 5L-5Q ). Non-connecting between graphical elements  504  may be represented as line segments, double-line segments, squares, dots, or any other shape that does not contact at least on adjacent transducer graphical element  502 , according to some embodiments. In cases where the graphical path is displayed at least in part as a circumferential path, such circumferential path may enclose or surround a region (e.g.,  525   c  in  FIG. 5Q  corresponding to a pulmonary vein) in a graphical representation of intra-cardiac information. 
     The instructions associated with block  612  may be configured to cause at least one visual characteristic set of each of various ones of the graphical elements  501  to change upon or after selection (e.g., by way of the first, second, or motion-based user inputs) and inclusion in the graphical path according to the instructions associated with blocks  608  and  610 , according to various embodiments. For example, at least each of  FIGS. 5L-5Q  show the changing of an interior color of each selected transducer graphical elements  502  as the graphical path is defined and displayed over time. Similarly, a color or other visual characteristic of between graphical elements  504  selected for inclusion in the graphical path may change when or as the graphical path is displayed. In some embodiments, selected transducer graphical elements  502 , selected between graphical elements  504 , or both, in the graphical path have different visual characteristics than unselected or non-selected respective ones of the transducer graphical elements  502 , the between graphical elements  504 , or both. 
     In some embodiments, the graphical path may be defined according to selection of any selectable graphical-path-element. In some embodiments, the selectable graphical-path-elements are graphical elements  501 , including transducer graphical elements  502 , between graphical elements  504 , or both. However, other selectable graphical-path-elements may be used. 
     In some embodiments, the selectable graphical-path-elements are provided by or among a displayed graphical representation (e.g.,  500 ). The selectable graphical-path-elements may be arranged in the graphical representation (e.g.,  500 ) in an arrayed configuration (e.g., a depicted two-dimensional or depicted three-dimensional arrayed configuration). In some embodiments, the selectable graphical-path-elements are arranged in a grid or grid-like configuration. Various ones of  FIG. 5  show two-dimensional or three-dimensional arrangements of selectable graphical-path-elements according to some embodiments. 
     It is noted that the display of the selectable graphical-path-elements or the defined graphical path is not limited to two-dimensional representations as shown, for example, in various ones of  FIG. 5 . In this regard,  FIG. 5R  shows the graphical path generated in  FIGS. 5L-5Q  three-dimensionally. A graphical representation of intra-cardiac information (e.g., blood flow information) is also depicted three-dimensionally in  FIG. 5R . In embodiments encompassing  FIG. 5R , a plurality of graphical representations of intra-cardiac electrograms  535  may be additionally displayed by the graphical interface, each of the electrograms  535  derived from data sampled by a respective transducer (e.g., transducer  306 ,  406 ) corresponding to a particular one of the transducer graphical elements  502  selected along the graphical path. In various embodiments, each of the electrograms  535  is a unipolar or monopolar electrogram. 
     In some embodiments, as discussed above with respect to  FIG. 5A , each of at least some of the transducer graphical elements  502  includes a shape that is consistent with a shape of the respective electrode (e.g.,  315 ,  415 ) of the transducer (e.g.,  306 ,  406 ) to which the transducer graphical element  502  corresponds. In this regard, different transducer graphical elements  502  may have different shapes, like their respective transducers (e.g.,  306 ,  406 ) or electrodes (e.g.,  315 ,  415 ) thereof. 
     In some embodiments, the display instructions associated with block  612  in  FIG. 6A  configure the data processing device system (e.g.,  110 ,  310 ) to cause the input-output device system (e.g., a display device of  120 ,  320 ) to display the graphical path among a graphical representation of intra-cardiac information (see, e.g.,  FIGS. 5L-5R ). Such intra-cardiac information has been described above with respect to at least  FIGS. 5G-5K . In this regard, according to some embodiments, the display instructions associated with block  612  may be configured to cause the input-output device system to display a plurality of between graphical elements  504  concurrently with transducer graphical elements  502 , the graphical path, and the graphical representation of the intra-cardiac information. 
     It is noted that in various embodiments, the intra-cardiac information that is displayed (e.g., via the instructions associated with block  604 ) need not be static and may include changes in the displayed appearance thereof. For example, the display instructions associated with block  604  may be configured to, in some embodiments, cause an input-output device system (e.g.,  120 ,  320 ) to graphically display changes in the intra-cardiac information (for example, as depicted in  FIGS. 5I, 5J and 5K ) during: a) reception of the first user input (e.g., block  608   a ), b) reception of the second user input (e.g., block  608   b ), c) reception of the motion-based user input (e.g., block  608   c ), or any combination of a), b) and c). In some embodiments encompassing  FIGS. 5L and 5M , additional information  521  (which may be another form of graphical representation of intra-cardiac information) is displayed upon a selection indicating a particular one of the graphical elements  501 . In at least some of these particular embodiments, the information  521  includes target temperature information associated with each of the transducers corresponding to the particular ones of the selected transducer graphical elements  502 . In some embodiments, the information  521  is related to, or reflective of systems-based or hardware-based information. In some embodiments, the information  521  is related to, or reflective of physiological parameter information. In some embodiments, the information  521  may represent target temperature information to monitor or control the transmittance of tissue ablation energy from a particular one of the transducers. In various embodiments, temperature data is sensed by a particular temperature sensor (e.g., temperature sensor  408 ) provided by a particular transducer. The temperature data may, in some embodiments, be compared with the target temperature to monitor or control the transmittance of tissue ablation energy from the particular transducers. Other forms of information  521  may be displayed in other embodiments. It is noted that displayed information  521  need not solely arise from a selection indicated by the first user input, but may, in some embodiments, arise as a result of other user inputs (e.g., a second user input or a motion-based input as described herein). It is noted that in some embodiments, the display of information  521  occurs in response to a selection of various ones of the graphical elements  501 . Advantageously, the selective inclusion of information  521  only for the selected ones of the graphical elements  501  may reduce cluttering the display region if the information  521  were provided for a significant number of (e.g., a majority) or all of the selectable graphical elements  501 . This is especially important when several hundreds of selectable graphical elements  501  are displayed. 
     Having the graphical path displayed among a graphical representation of intra-cardiac information (e.g.,  FIGS. 5L-5R ) may facilitate better judgments regarding or improve the effectiveness or operational implementation of transducer activation (e.g., sensing, tissue ablation, both, or some other activation) within the cardiac cavity. In some embodiments, activation instructions associated with block  614  in  FIG. 6A  are configured to cause activation of various transducer sets. In some embodiments, these various transducer sets include or are the transducers corresponding to those transducer graphical elements  502  included in the graphical path. 
     In some embodiments, the activation instructions associated with block  614  are configured to cause transmission, initiated during or after completion of the definition of the graphical path (e.g., according to the instructions associated with block  610 ), of energy sufficient for tissue ablation (e.g., via energy source device system  340 ) from each of at least one of the respective transducers (e.g.,  220 ,  306 ,  406 ) corresponding to graphical elements  501  in the graphical path, such as transducer graphical elements  502 , between graphical elements  504 , or both, selected by the first user input (e.g., blocks  608   a ,  610   a ), the motion-based user input (e.g., blocks  608   c ,  610   c ), or the second user input (e.g., blocks  608   b ,  610   b ). 
     In some embodiments, the activation instructions associated with block  614  are configured to cause transmission, initiated during or after completion of the definition of the graphical path, of energy sufficient for tissue ablation from at least each respective transducer corresponding to a first transducer graphical element selected, e.g., based on a graphical-path-initiating first user input according to the instructions associated with block  608   a  in  FIG. 6A , a second transducer graphical element selected, e.g., based on motion-based user input according to the instructions associated with block  608   c  in  FIG. 6A , and a third transducer graphical element selected, e.g., based on graphical-path-terminating second user input according to the instructions associated with block  608   b  in  FIG. 6A . 
     Similarly, in some embodiments, the activation instructions associated with block  614  are configured to cause transmission, initiated during or after completion of the definition of the graphical path (e.g., according to the instructions associated with block  610 ), of energy sufficient for tissue ablation from at least each respective transducer (e.g.,  220 ,  306 ,  406 ) corresponding to each transducer graphical element  502  in each of a first transducer graphical element set selected, e.g., based on a graphical-path-initiating first user input according to the instructions associated with block  610 - la  in  FIG. 6E , a second transducer graphical element set selected, e.g., based on motion-based user input according to the instructions associated with block  610 - 1   c  in  FIG. 6E , and a third transducer graphical element set selected, e.g., based on graphical-path-terminating second user input according to the instructions associated with block  610 - 1   b  in  FIG. 6E . 
     In some embodiments, the activation instructions associated with block  614  are configured to cause transmission, initiated during or after completion of the definition of the graphical path, of energy sufficient for tissue ablation from at least each transducer (e.g.,  220 ,  306 ,  406 ) of a respective one of a plurality of groups of adjacent ones of the transducers corresponding to a selected at least one of the between graphical elements  504 . For example, if between graphical element  504  in  FIG. 5M  is selected, which causes inclusion of adjacent transducer graphical elements  502   g  and  502   h  in the graphical path, the group of adjacent transducers  306  corresponding to transducer graphical elements  502   g  and  502   h  may be caused to transmit tissue-ablative energy (e.g., via energy source device system  340 ) in accordance with the instructions associated with block  614 , according to some embodiments. 
     Advantageously, activating a set of two or more of the transducers based on a selection of a single graphical element (e.g., between graphical element  504 ) provides for a workflow that may be less cumbersome and more expeditious than individually selecting the respective graphical elements (e.g., transducer graphical elements  502 ) associated with each transducer of the set of two or more of the transducers, especially when 50, 100, 200 or even over 300 or more transducer graphical elements are provided in the graphical representation. This configuration may be even more advantageous, when a single graphical element (e.g., between graphical element  504 ) provides additional information (e.g., spatial information) relating each of the transducers in the set of two or more of the transducers. For example, a between graphical element  504  may indicate a distance between or acceptability-of-activation of transducers of a corresponding transducer pair, and, accordingly, the between graphical element  504  provides, in some embodiments, information about the corresponding group (e.g., pair) of transducers and, thereby, makes the selection process more efficient. In addition, allowing selection of the between graphical elements for corresponding transducer activation can provide a more intuitive user interface in certain applications. For example, such an arrangement allows a user to make selections along an ablation path or a path along which data is to be obtained, without having to focus on the transducers required to make that ablation path or acquire that data. The user may, for example, just select a path using between graphical elements (e.g., user-based selection(s)/constituent selection(s)), and the corresponding transducers are automatically selected (e.g., machine-based selection(s)/constituent selection(s)) in response. Since various ones of the between graphical elements need not be tied to any physical portion of the transducer-based device, they can be freely designed to reflect a path (e.g., over tissue or fluid) along which their corresponding transducers will interact when activated (e.g., by causing ablation). In this regard, if the between graphical elements are configured to accurately represent their respective path segments in which ablation or data gathering will occur, according to some embodiments, the user can gain an even better understanding of the expected results of activation of the corresponding transducers. This configuration may advantageously increase the likelihood that an ablation path that is consistent with the displayed graphical path will result. 
     Activation of transducers according to the instructions associated with block  614  may occur when the definition, display, or both of the graphical path has not yet completed. For example, if  FIG. 5Q  represents the completion of definition and display of the graphical path, and  FIGS. 5L-5P  represent times during the definition and display of the graphical path (e.g., after a graphical-path-initiating first user input and during the motion-based user input), transducers associated with selected transducer graphical elements  502   g  and  502   h  may be activated according to the instructions associated with block  614  at the time represented by  FIG. 5M  or any time thereafter (e.g., at the time of  FIG. 5M, 5N, 5O, 5P, 5Q , or thereafter). In some embodiments, all of the transducers corresponding to selected transducer graphical elements  502  may be concurrently queued for activation according to the instructions associated with block  614  by a particular user input. For example, after the graphical path of  FIG. 5Q  is completed, the user may engage an “ablate” software button on the user interface to queue all of the transducers corresponding to the highlighted transducer graphical elements  502  in  FIG. 5Q  to cause tissue ablation. In some embodiments, such an “ablate” software button (or, more generally, the activation instructions associated with block  614 ) may be enabled for operation at least in response to a reception of a graphical-path-terminating second user input. Such an “ablate” software button need not be engaged only after path definition, however, and could be engaged during graphical path definition, display, or both, as discussed above. Note that queuing transducers for activation does not necessarily mean that all transducers will be activated concurrently or immediately, although this may be so in some embodiments. For example, in some embodiments, when a group of transducers are queued for tissue ablation, the transducers in the group are not activated for ablation concurrently, but are activated for ablation according to a sequence of sets of transducers to ensure proper tissue ablation and operate within hardware and driving constraints. For instance, if ablation occurs by way of delivery of energy from an energy source device system (e.g., energy source device system  340 ) to the respective transducers, it may be that the energy source device system is capable of transmitting tissue-ablative energy to (e.g., “driving”) a predetermined number of transducers simultaneously, according to some embodiments. For example, if 20 transducers are queued for ablation, but only 8 transducers can be driven electrically at a time by the energy source device system, then the 20 transducers may be activated for ablation in sequential groups of 8, 8, and 4 or some other sequential grouping within the hardware constraints. 
     In some embodiments, the activation caused according to the instructions associated with block  614  is concurrent monopolar activation, initiated during or after completion of the definition of the graphical path. Monopolar activation can include activation for monopolar ablation or monopolar electrogram generation by way of non-limiting example. In some embodiments, an indifferent electrode (e.g., indifferent electrode  326 ) is provided (e.g., usually to an external surface or skin-based surface of a body) while the transducer-based device (e.g.,  200 ,  300 ,  400 ) is received in a bodily cavity within the body. A portion of the tissue-ablating energy delivered to the respective transducer (e.g.,  306 ,  406 ) corresponding to the selected transducer graphical element (e.g.,  502 ) may be transmitted from the respective transducer to the indifferent electrode in a process typically referred to as monopolar ablation. In some embodiments, the activation caused according to the instructions associated with block  614  is bipolar tissue ablation, initiated during or after completion of the definition of the graphical path. 
     In some embodiments, (a) a portion of the energy delivered to a first transducer of the respective set of two or more of the transducers (e.g., first transducer  306 ) is transmitted by the first transducer, (b) a portion of the energy delivered to a second transducer of the respective set of two or more of the transducers (e.g., second transducer  306 ) is transmitted by the second transducer, or both (a) or (b). In some embodiments, (a) a portion of the energy delivered to a first transducer of the respective set of two or more of the transducers (e.g., first transducer  306 ) is transmitted by the first transducer to a second transducer of the respective set of two or more of the transducers (e.g., second transducer  306 ), (b) a portion of the energy delivered to the second transducer of the respective set of two or more of the transducers is transmitted by the second transducer to the first transducer, or both (a) or (b). In some example embodiments, a selected between graphical element (e.g., between graphical element  504 ) is representative of a physical path extending between a respective pair of the transducers associated with the selected between graphical element and the energy is sufficient for ablating a portion of tissue extending along the physical path. A portion of the tissue-ablating energy may be transmitted between the respective pair of the transducers in a process typically referred to as bipolar ablation. In some embodiments, an indifferent electrode (e.g., indifferent electrode  326 ) is provided (e.g., usually to an external surface of a body) while the transducer-based device is received in a bodily cavity within the body. Some of the tissue-ablating energy may be transmitted between the respective pair of the transducers while some of the tissue-ablating energy may be transmitted from various ones of the respective pair of the transducers to the indifferent electrode in a process typically referred to as blended monopolar-bipolar ablation. The term “bipolar ablation” as used in this disclosure is to be interpreted broadly to include blended monopolar-bipolar ablation in some embodiments. 
     In addition to embodiments where the instructions according to block  614  are configured to cause a data processing device system to cause bipolar ablation, the instructions according to block  614 , in some embodiments, are configured to cause a data processing device system to cause multi-transducer monopolar ablation with the respective set of two or more of the transducers, e.g., dual monopolar ablation for two transducers, or triple monopolar ablation for three transducers. In such cases, for example, the respective set of two or more of the transducers may be ‘queued’ for monopolar ablation, such that monopolar ablation occurs for each transducer in the respective set of two or more of the transducers within some period of time, but not necessarily at the same time or even one immediately after another. In this regard, references herein to the occurrence of monopolar ablation for more than one transducer may include this multi-transducer monopolar ablation according to some embodiments. In addition, any reference herein to the occurrence of bipolar ablation may be replaced with the occurrence of dual monopolar ablation (or other multi-transducer monopolar ablation when more than two transducers are involved), according to some embodiments. In some cases in which multi-monopolar ablation is employed, energy transfer sufficient to cause tissue ablation is not transferred between the particular transducers employed by the multi-monopolar ablation. Rather, in these cases energy sufficient for tissue ablation is transmitted between each of these particular transducers and an indifferent electrode (e.g., indifferent electrode  326 ). 
     The activation according to the instructions associated with block  614  need not be for tissue ablation. In some embodiments, a sensing device system (e.g., provided at least in part by a number of the transducers  306 ,  406 ) is arranged to sense intra-cardiac information or physiological parameter information at a respective location at least proximate the respective transducer corresponding to a selected transducer graphical element with the energy delivered to the transducer as at least part of the activation. In this regard, in some embodiments, the instructions associated with block  614  that are, in some embodiments, configured to activate a respective transducer (e.g.,  306 ,  406 ) corresponding to a selected transducer graphical element (e.g.,  502 ) include instructions that are configured to cause a sensing device system (e.g., sensing device system  325 ) to detect electrophysiological activity (an example of intra-cardiac information in some embodiments) in an intra-cardiac cavity at a location at least proximate the respective transducer. The detected electrophysiological activity can be displayed as an intra-cardiac electrogram via the input-output device system (e.g. electrograms  535  shown in  FIG. 5R ). In some embodiments, detection of electrophysiological activity in an intra-cardiac cavity at a location at least proximate various ones of the transducers occurs continuously. In some embodiments, a sensing device system (e.g., sensing device system  325 ) is arranged to sense at least one tissue electrical characteristic (e.g., an example of intra-cardiac information) at respective locations at least proximate each transducer of the respective set or group of two or more of the transducers with the energy delivered to the respective set of two or more of the transducers. Other forms of activation of the respective transducer corresponding to the selected transducer graphical element are possible in other embodiments. 
     In some embodiments, the above-discussed sensing functionality of one or more transducers (e.g.,  306 ,  406 ) occurs simultaneously with tissue-ablation performed by such one or more transducers, e.g., according to the instructions associated with block  614 . 
     In some embodiments, the initiation, evolution, conclusion, or a combination thereof of the activation caused according to the instructions associated with block  614  may be represented in a displayed user interface (e.g., like that shown in various ones of  FIG. 5 ) by a change in a visual characteristic set of the activated transducer graphical elements (e.g.,  502 ). For example,  FIG. 5X  shows the various particular transducer graphical elements  502  and between graphical elements  504  selected as per various embodiments associated with various one of  FIGS. 5L, 5M, 5N, 5P, 5P, 5Q, and 5R  but after the corresponding transducers (e.g.,  306 ,  406 ) have been activated (e.g., to transmit tissue ablation energy). In  FIG. 5X , a visual characteristic set of the various particular transducer graphical elements  502  and between graphical elements  504  has changed (e.g., thicker and darker shading as compared with  FIG. 5Q ) indicating a particular state (e.g., initiation, an intermediate state, or a completion) associated with the activation of each of the corresponding transducers. 
     It should be noted that, with respect to every discussion of a change of visual characteristic or visual characteristic set discussed herein in various embodiments, other embodiments are not limited to any particular visual characteristic that may be changed. For example, such a visual characteristic may be, without limitation, a color, a color density, a shape, a texture, a location, etc. A visual characteristic set may be one or more visual characteristics, such that a change in a visual characteristic set may be a change in one or more visual characteristics. 
     In various embodiments, the graphical path is defined, at least in part, based on (a) a positional relationship between various ones of the graphical elements  501 , (b) a positional relationship between various regions (e.g.,  525 ) of a graphical representation of intra-cardiac information, (c) a positional relationship between various ones of the graphical elements  501  and various regions of the graphical representation of the intra-cardiac information, or a combination of two or more of (a), (b) and (c). Enhanced or more efficient selection of various graphical elements  501  may be achieved in some embodiments, which allow a respective graphical element  501  to be selected if user input (e.g., graphical-path-initiating first user input, motion-based user input, or graphical-path-terminating second user input, e.g., respectively pursuant to blocks  608   a ,  608   b , and  608   c ) occurs within a display region associated with the respective graphical element  501 , the display region including at least a portion that extends beyond at least a portion of its respective graphical element  501 . 
     For example, each of  FIGS. 5S and 5T  shows a plurality of transducer graphical elements (e.g., similar to some transducer graphical elements  502  shown in various other ones of  FIG. 5 ) including transducer graphical elements  502   aa ,  502   bb,    502   cc ,  502   dd  (collectively, transducer graphical elements  502 ). Each of the transducer graphical elements  502   aa ,  502   bb,    502   cc ,  502   dd  resides, at least in part, within a respective one of display regions  502   aa - 1 ,  502   bb - 1 ,  502   cc - 1 , and  502   dd - 1  (e.g., shown in broken lines in these particular illustrated embodiments). In these embodiments, each of the transducer graphical elements  502  does not occupy the entirety, or all, of its respective display region. In addition to the transducer graphical elements included in  FIG. 5S ,  FIG. 5T  additionally includes a plurality of between graphical elements (e.g., similar to some between graphical elements shown in various other ones of  FIG. 5 ) including between graphical elements  504   ab ,  504   bc ,  504   cd , and  504   da  (collectively, between graphical elements  504 ), each of the between graphical elements arranged between a respective adjacent pair of the transducer graphical elements  502 . In  FIG. 5T , each of the between graphical elements  504   ab ,  504   bc ,  504   cd , and  504   da  resides, at least in part, within a respective one of the display regions  504   ab - 1 ,  504   bc - 1 ,  504   cd - 1 , and  504   da - 1  (e.g., shown in broken lines in these particular illustrated embodiments). In these embodiments, each of the between graphical elements  504  does not occupy the entirety, or all, of its respective display region. It should be noted that, in some embodiments that do not include between graphical elements  504 , which may be represented by  FIG. 5S , in some embodiments, the display regions associated with the transducer graphical elements  502  may contact each other, unlike  FIG. 5S . 
     In some embodiments encompassing  FIGS. 5S and 5T , a selection of transducer graphical elements is indicated at least by user input, such as, but not limited to first user input (e.g., graphical-path-initiating first user input), motion-based user input, or second user input (e.g., graphical-path-terminating second user input), e.g., respectively pursuant to blocks  608   a ,  608   b , and  608   c  in  FIG. 6A . For example, first user input (e.g., a graphical-path-initiating first user input) according to block  608   a  may occur at the display-screen-location  519 - 1   a  where the broken-line cursor  519 - 1  in  FIG. 5S  is located. In this regard, the instructions associated with block  610   a  in  FIG. 6A  may be configured to cause the data processing device system (e.g.,  110 ,  310 ) to analyze such display-screen-location (an example of a parameter in a first parameter set associated with the first user input) in relation to one or more of the transducer graphical elements  501 . For example, in some embodiments, the data processing device system may compare such display-screen-location to the display regions associated with the graphical elements to determine a display region in which the display-screen-location of the first user input occurs. In the example of  FIG. 5S , the display-screen-location  519 - la  associated with the first user input is determined to be located in region  502   aa - 1  associated with transducer graphical element  502   aa . Consequently, the instructions associated with block  610   a  in  FIG. 6A  may configure the data processing device system to identify the transducer graphical element  502   aa  as the first location on the graphical path. 
     Similarly, because the motion-based user input (e.g., according to block  608   c ) passes through display region  502   bb - 1  (e.g., includes a display-screen-location  519 - 1   b , which is an example of a parameter in a parameter set, within such display region  502   bb - 1 ), as shown by broken-line cursor  519 - 1  in the direction illustrated by arrow  531   a , the instructions associated with block  610   c  in  FIG. 6A  may configure the data processing device system to identify the transducer graphical element  502   bb  as another location on the graphical path, according to some embodiments. Further, a second user input (e.g., a graphical-path-terminating second user input) might occur at the display-screen-location  519 - 1   c  (an example of a parameter in a second parameter set associated with the second user input) of cursor  519 - 1 , which is within the display region  502   cc - 1  of transducer graphical element  502   cc . In this regard, the instructions associated with block  610   b  in  FIG. 6A  may configure the data processing device system to identify the transducer graphical element  502   cc  as yet another location on the graphical path, according to some embodiments. As shown in  FIGS. 5S and 5T , a visual characteristic set of each of transducer graphical elements  502   aa ,  502   bb , and  502   cc  has been changed (for example, as compared with unselected transducer graphical element  502   dd ) in a manner similar to, or the same as, that indicated by various other selected transducer graphical elements  502  shown in various other ones of  FIG. 5 . Additional information  521  is not shown in  FIGS. 5S and 5T  for clarity, although it is understood that information  521  may or may not be included in other embodiments. 
     In  FIG. 5T , transducer graphical elements  502   aa ,  502   bb , and  502   cc  are selected by employing a motion-based user input that moves a mouse cursor  519 - 2  along a path (e.g., schematically represented by arrow  531   b  in some embodiments) sequentially through display regions  504   ab - 1  and  504   bc - 1  of between graphical elements  502   ab - 1  and  502   bc - 1 . That is, in some embodiments, transducer graphical elements  502   aa ,  502   bb , and  502   cc  may be indirectly selected in response to a user selection of between graphical elements  504   ab  and  504   bc . Advantageously, the user-input(s) required to select transducer graphical elements  502   aa ,  502   bb , and  502   cc  in  FIG. 5T  may be simpler and shorter (e.g., as schematically represented by the non-jogged shape of arrow  531   b  and the overall length of arrow  531   b ) as compared with the user input(s) required to individually select transducer graphical elements  502   aa ,  502   bb , and  502   cc  in  FIG. 5S  (e.g., as schematically represented by the jogged shape of arrow  531   a  and the longer overall length of arrow  531   a ). It is noted that, in some embodiments, upon selection, a visual characteristic set of each directly selected between graphical element  504   ab  and  504   bc  is changed (e.g., as compared with unselected between graphical elements  504   cd  and  504   da ) along with a change in a visual characteristic set of transducer graphical elements  502   aa ,  502   bb , and  502   cc . Changes in the visual characteristic set of various graphical elements in  FIGS. 5S and 5T  may be made in accordance with the instructions associated with block  612  in some embodiments. In  FIG. 5T  at least one of the display regions (e.g.,  502   aa - 1 ) has different dimensions or sizes than another of the display regions (e.g.,  504   ab - 1 ). In  FIG. 5T  at least one of the display regions (e.g.,  502   aa - 1 ) has a different shape than another of the display regions (e.g.,  504   ab - 1 ). 
     In some embodiments associated with  FIGS. 5S and 5T , each of the selections (e.g., direct or indirect) of transducer graphical elements  502   aa ,  502   bb  and  502   cc  may be made in response to the path traced by the motion-based user input without any additional control element activation or deactivation (e.g., a mouse button click or de-click). It is noted that, intra-cardiac information similar to that shown in various other ones of  FIG. 5  is not displayed in  FIGS. 5S and 5T  for clarity. Intra-cardiac information may or may not be additionally displayed in various embodiments. 
     With respect to  FIGS. 5U, 5V, and 5W , in some embodiments, each of a plurality of transducer graphical elements  502   ee ,  502   ff ,  502   gg ,  502   hh ,  502   ii , and  502   jj  resides, at least in part, within a respective one of display regions  502   ee - 1 ,  502   ff - 1 ,  502   gg - 1 ,  502   hh - 1 ,  502   ii - 1 , and  502   jj - 1  (e.g., shown in broken lines in these particular illustrated embodiments). In addition to these transducer graphical elements,  FIGS. 5U, 5V, and 5W  includes a plurality of between graphical elements (e.g., similar to some between graphical elements shown in various other ones of  FIG. 5 ) including between graphical elements  504   ef ,  504   fg ,  504   gh ,  504   hi ,  504   ij ,  504   ja , and  504   if  (collectively, between graphical elements  504 ), each of the between graphical elements arranged between a respective adjacent pair of the transducer graphical elements  502 . In  FIGS. 5U, 5V , and  5 W, each of the between graphical elements  504   ef ,  504   fg ,  504   gh ,  504   hi ,  504   ij ,  504   ja , and  504   if  resides, at least in part, within a respective one of the display regions  504   ef - 1 ,  504   fg - 1 ,  504   gh - 1 ,  504   hi - 1 ,  504   ij - 1 ,  504   ja - 1 , and  504   if - 1  (e.g., shown in broken lines in these particular illustrated embodiments). In these embodiments, each of the transducer graphical elements  502  and each of the between graphical elements  504  does not occupy the entirety, or all, of its respective display region. 
     With respect to  FIG. 5U , in some embodiments, a plurality of selectable graphical-path-elements (e.g., at least  504   ef ,  502   ff ,  504   fg ) are concurrently displayed with the graphical representation of intra-cardiac information (not shown in  FIG. 5U , but shown, e.g., with respect to  FIGS. 5G-5R and 5X ). In this regard, in some embodiments, the graphical path includes a group of the graphical-path-elements (e.g., at least  504   ef ,  502   ff ,  504   fg ) in response to a path traced by motion-based user input or a portion thereof (e.g., at least a portion of the path traced by mouse cursor  519 - 3  from location  519 - 3   a  to location  519 - 3   b ) passing through a respective predetermined display region associated with each of at least one graphical-path-element of the group of graphical-path-elements (e.g., at least region  504   ef - 1 , region  502   ff - 1 , or region  504   fg - 1 ), the respective predetermined display regions of at least two of the group of the graphical-path-elements having different shapes (e.g., region  504   fg - 1  has a different shape than region  502   ff - 1 ). In some embodiments, one of the plurality of graphical-path-elements (e.g., graphical element  502   ff ) includes the third location (e.g., an internal or intermediate location in the graphical path) defined according to the instructions associated with block  610   c.    
     In various embodiments, the analysis (which may be included as part of the instructions associated with blocks  610   a ,  610   b ,  610   c ) of the display-screen location (e.g., a display-screen location associated with a first user input, motion-based user input, or second user input, e.g., respectively pursuant to blocks  608   a ,  608   b , and  608   c ) in relation to one or more of the graphical elements  501  (e.g., one or more transducer graphical elements  502  or one or more between graphical elements  504 ) includes determining a proximity between the display-screen location and each of one or more graphical elements  501 . The one or more graphical elements may include, in some embodiments, two or more of the graphical elements (e.g., two or more of the transducer graphical elements  502  or two or more of the between graphical elements  504 ), and the analysis of the display-screen location in relation to the two or more of the graphical elements  501  may include defining the respective location (e.g., first location, second location, or third location pursuant to blocks  610   a ,  610   b ,  610   c ) on the graphical path as a location of a particular one of the two or more graphical elements  501  in closest proximity to the display-screen location. 
     For example, a first user input at display-screen location  519 - la  in  FIG. 5S  is closest to transducer graphical element  502   aa , so transducer graphical element  502   aa  may be determined by the data processing device system, according to the instructions associated with block  610   a , to be a first location in the graphical path, according to some embodiments. For another example, a user input occurring at cursor location  519 - 2   a  in  FIG. 5T  is closest to between graphical element  504   ab , so between graphical element  504   ab  may be determined by the data processing device system, according to the instructions associated with block  610   c , to be a location in the graphical path, according to some embodiments. Continuing this example, according to some embodiments, since the closest graphical element is a between graphical element  504   ab , the data processing device system may be configured to also determine that the transducer graphical elements  502   aa  and  502   bb  associated with the between graphical element  504   ab  are to be included in the graphical path. Since transducer graphical elements  502   aa  may have already been part of the graphical path (e.g., due to an earlier selection via the motion-based user input, or in some other embodiments via a previous first user input), such transducer graphical elements  502   aa  may be neglected, and only transducer graphical element  502   bb  would additionally be added to the graphical path, according to some embodiments. 
     In view of the above-discussions with respect to  FIGS. 5S and 5T , when a path traced by motion-based user input (e.g., per arrow  531   a  or arrow  531   b ) is away from an adjacent or closest graphical element (e.g.,  501 ), the path traced by the motion-based user input may be considered to “snap” to the adjacent or closest graphical element due to the change in visual characteristics and inclusion of the adjacent or closest graphical element. For example, although the path traced by the motion-based user input in  FIG. 5T  moves in a diagonal direction according to arrow  531   b , the graphical path follows a slightly different route including transducer graphical element  502   aa , between graphical element  504   ab , transducer graphical element  502   bb , between graphical element  504   bc , and transducer graphical element  502   cc . In this regard, it may be considered that the path traced by the motion-based user input snaps to the defined and displayed graphical path, according to some embodiments. Similarly, it may be considered that the user input at the location  519 - 2   a  of cursor  519 - 2  snaps to between graphical element  504   ab , and that the user input at the location  519 - 2   b  of cursor  519 - 2  snaps to between graphical element  504   bc , according to some embodiments. In some embodiments, a snapping to a between graphical element (e.g.,  504   ab ) also causes a concurrent snapping to one or more associated transducer graphical elements (e.g., at least  502   bb ). 
     In some embodiments, path definition instructions (e.g., associated with block  610   c  or  610 - 1   c ) are configured to cause the path traced by the motion-based user input or a portion thereof to snap to a transducer graphical element (e.g.,  502 ) or a portion thereof in response to the path traced by the motion-based user input or the portion thereof being away from the transducer graphical element but within a predetermined distance from the transducer graphical element or a part thereof. The predetermined distance may define the outer limits of the respective display region (e.g.,  502   aa - 1  for transducer graphical element  502   aa ), according to some embodiments. 
     In some embodiments, the path definition instructions are configured to cause an elongate path portion of the graphical path (e.g., defined according to motion-based user input per, e.g., blocks  608   c  and  610   d  in  FIG. 6A ) to include a transducer graphical element (e.g.,  502 ) or a portion thereof in response to the path traced by the motion-based user input or a portion thereof being away from the transducer graphical element but within a predetermined display region associated with the transducer graphical element. In this regard, it should be noted that a graphical path might include only a portion of a graphical element (e.g.,  501 ) in some embodiments. For example,  FIG. 5T  shows a graphical path portion represented, at least in part, by highlighting of transducer graphical element  502   aa , between graphical element  504   ab , transducer graphical element  502   bb , between graphical element  504   bc , and transducer graphical element  502   cc . In this regard, the highlighting in each of transducer graphical elements  502   aa ,  502   bb , and  502   cc  does not occupy the entirety of the interior region of the respective transducer graphical elements. Such a circumstance is an example where the graphical path includes only a portion of a graphical element included in the graphical path. In this regard, the graphical path illustrated in  FIG. 5T  by highlighting of respective graphical elements is an example of a graphical path having an interrupted form, because the highlighting of the respective transducer graphical elements  502  does not contact the highlighting of the adjacent between transducer graphical element(s)  504 . For another example,  FIG. 5S  shows highlighting within selected transducer graphical elements  502   aa ,  502   bb , and  502   cc , with non-highlighted gaps between respective display regions  502   aa - 1 ,  502   bb - 1 , and  502   cc - 1 , such gaps adding to an interrupted form of a graphical path, in some embodiments. 
     In some embodiments, the path definition instructions are configured to cause the elongate path portion of the graphical path to include a transducer graphical element or a portion thereof in response to the path traced by the motion-based user input or a portion thereof passing through a predetermined display region associated with the transducer graphical element, the predetermined display region including at least a part of the transducer graphical element, and the transducer graphical element not occupying all of the predetermined display region. 
     In some embodiments, the path definition instructions are configured to cause the elongate path portion of the graphical path to include a transducer graphical element or a portion thereof in response to the path traced by the motion-based user input or a portion thereof being away from the transducer graphical element but within a predetermined distance from the transducer graphical element or a part thereof. 
     In some embodiments, the path definition instructions are configured to cause the path traced by the motion-based user input or a portion thereof to snap to a particular between graphical element (e.g.,  504 ) or a portion thereof in response to the path traced by the motion-based user input or the portion thereof being away from the particular between graphical element but within a predetermined distance from the particular between graphical element or a part thereof. 
     In some embodiments, the path definition instructions are configured to cause an elongate path portion of the graphical path (e.g., defined according to motion-based user input per, e.g., blocks  608   c  and  610   d  in  FIG. 6A ) to include a particular between graphical element or a portion thereof in response to the path traced by the motion-based user input or a portion thereof being away from the particular between graphical element but within a predetermined display region associated with the particular between graphical element. 
     In some embodiments, the path definition instructions are configured to cause the elongate path portion of the graphical path to include a particular between graphical element or a portion thereof in response to the path traced by the motion-based user input or a portion thereof passing through a predetermined display region associated with the particular between graphical element, the predetermined display region including at least a part of the particular between graphical element, and the particular between graphical element not occupying all of the predetermined display region. 
     In some embodiments, the path definition instructions are configured to cause the elongate path portion of the graphical path to include a particular between graphical element or a portion thereof in response to the path traced by the motion-based user input or a portion thereof being away from the particular between graphical element but within a predetermined distance from the particular between graphical element or a part thereof. 
     In some embodiments, the above-discussed ‘snapping’ of a user-input display screen location to a graphical element, when the user-input display screen location is away from the graphical element but within a predetermined display region associated with the graphical element, need not only apply to motion-based user input. In this regard, such ‘snapping’ may apply to stationary user input, in some embodiments, such as a mouse click, a touch-screen contact, or other user input associated with a display screen location, to select a graphical element that is away from the display screen location, but the display screen location is within a predetermined display region associated with the graphical element. 
     In some cases, a user may desire to adjust or revise the graphical path during the definition or generation of the graphical path. For example, in some embodiments employing arrays of hundreds of graphical elements such as those shown in various graphical elements  501  of  FIG. 5 , numerous choices are presented to a user (e.g., a health care practitioner or technician) as to which of these numerous graphical elements should or should not be located on the graphical path or form part of the graphical path. In many cases, a particular set of one or more graphical elements may be deemed to be incorrectly chosen. For example, one or more graphical elements may be mistakenly chosen through an unintended manipulation of a particular user input control element or upon receipt of updated intra-cardiac information (e.g., physiological information) during or after the selection, the updated intra-cardiac information indicating or suggesting that a better selection can be made. In some embodiments, the graphical path definition instructions associated with block  610  further include path adjustment instructions (e.g., associated with block  610   e ) configured to adjust (e.g., reduce) a size of at least an elongate path portion (e.g., defined according to motion-based user input per, e.g.,  610   d ) of the graphical path. 
     In various embodiments, the path adjustment instructions associated with block  610   e  are configured to adjust a size of the elongate path portion in response to a user-based retracing of a portion of the path traced by the motion-based user input. Adjusting a size of the elongate path portion may include a path reduction that still allows for at least some of the elongate path portion or at least some part of the graphical path to be maintained. In some embodiments, the instructions associated with block  610   e  are configured to adjust the size of the elongate path portion of the graphical path so long as a graphical path terminating input (e.g., a second user input that places the first user input element in a deactivated state) has not been received (for example, as per the instructions associated with block  608   b ). For example, in some embodiments, various instructions that, in response to the reception of the second user input, indicate a termination point in the graphical path or indicate a termination of the graphical path generation process, may preclude reducing a size of the elongate path portion at least based on a retracing of a portion of the path traced by the motion-based user input. In this regard, in some embodiments, the instructions associated with block  610   e  are configured to adjust (e.g., reduce) the size of the elongate path portion of the graphical path so long as a second location or locations (e.g., a set of graphical elements  501 ) on the graphical path has not been defined according to a second parameter set associated with a graphical-path-terminating second user input (for example, as per the instructions associated with block  610   b ). In some embodiments, other adjustment instructions responsive to other user inputs may be configured to adjust (e.g., reduce) a portion of the graphical path. For example, other instructions may include instructions that may cause an undoing of at least the entirety of the elongate path portion. 
     In some embodiments, the motion-based user input (e.g., according to the instructions associated with block  608   c ) indicates a selection of a group of transducer graphical elements (e.g.,  502 ). In some of these embodiments, the instructions associated with block  610   e  may include de-selection instructions configured to deselect at least one transducer graphical element in the group of the transducer graphical elements in response to a user-based retracing of a portion of the path traced by the motion-based user input. 
       FIG. 6F  shows an exploded view of blocks of at least some of the instructions of method  600  employed according to various aspects of block  610   e  in  FIG. 6A , according to some embodiments.  FIG. 6F  includes a set of instructions associated with block  610 - 2  and a set of instructions associated with block  612 - 2 . Block  610 - 2  shows an exploded view of path definition instructions of block  610  as employed in some embodiments. Block  612 - 2  shows an exploded view of the graphical path display instructions associated with block  612  as employed in some embodiments. The instructions associated with block  610 - 2  define a graphical path that includes a plurality of elements or graphical-path-elements in some embodiments. For the ease of convenience, reference is made to various ones of graphical elements  501  (e.g., various ones of transducer graphical elements  502 , various one of between graphical elements  504 , or both). It is understood however, that other embodiments may employ other forms of graphical elements or graphical-path-elements. Additionally, it is noted in various embodiments, a particular graphical element or graphical-path element may not necessarily be visible (e.g., visibly displayed by an input-output device system) prior to selection. For example, in some embodiments, various graphical elements along the path or various graphical-path-elements forming at least part of the path may not be made visible until indicated by some form of user input (e.g., a motion-based user input received, for example, in accordance with the instructions associated with block  608   c ). 
     Block  610 - 2   a  is associated with, in some embodiments, instructions configured to initiate the graphical path at least in response to receiving first user input (e.g., first user input that places a first user input element into an activated state, for example, as received by the instructions associated with block  608   a ). In this regard, block  610 - 2   a  may encompass at least block  610   a  in  FIG. 6A, 610 - la  in  FIG. 6E , or both. Block  610 - 2   c  is associated with, in some embodiments, instructions configured to define an interim-definition of the graphical path according to a path traced by motion-based user input (e.g., motion-based user input received in accordance with the instructions associated with block  608   c ). In this regard, block  610 - 2   c  may correspond at least to or encompass at least block  610   c  in  FIG. 6A, 610-1   c  in  FIG. 6E , or both. The displayed graphical representation of the graphical path, as defined by the interim-definition, is discussed below with respect to  FIG. 5U . Block  610 - 2   b  is associated with, in some embodiments, instructions configured to cause conclusion of the definition of the graphical path in response to receiving second user input (e.g., second user input that places a first user input element into a deactivated state, for example, as received by the instructions associated with block  608   b ). In this regard, block  610 - 2   b  may encompass at least block  610   b  in  FIG. 6A, 610-1   b  in  FIG. 6E , or both. 
     In various embodiments, each of the graphical elements or graphical-path-elements includes a respective display region, and an indication or identification or a status determination (e.g., visible/non-visible or selected/not selected) of each of the graphical elements or graphical-path-elements occurring in response to the selection of the respective display region. In some embodiments, each display region includes at least a portion of a respective graphical element or graphical-path-element. In some embodiments, each display region includes all of a respective graphical element or respective graphical-path-element. In some embodiments, the respective graphical element or graphical-path-element occupies all of its respective display region. In some embodiments, the respective graphical element or respective graphical-path-element does not occupy all of its respective display region. 
     In various embodiments, display instructions (e.g., display instructions associated with block  612 - 2   a ) are provided and are configured to cause an input-output device system (e.g.,  120 ,  320 ) to display, prior to the conclusion of the definition of the graphical path, a graphical representation of the graphical path including the identified plurality of graphical elements or the identified plurality of graphical-path-elements consistent with the interim-definition (e.g., block  610 - 2   c ) of the graphical path. In some embodiments, a visual characteristic set of the respective graphical element or respective graphical-path-element changes upon selection (e.g., a selection made on the basis of the first user input, the second user input, or the motion-based user input as described above). 
     In various embodiments, the instructions associated with block  610 - 2   d  are configured to cause generation of a modified-interim-definition of the graphical path prior to the conclusion of the definition of the graphical path. In this regard, block  610 - 2   d  may correspond at least to or encompass at least block  610   c  in  FIG. 6A, 610-1   c  in  FIG. 6E , or both. The displayed graphical representation of the graphical path, as defined by the modified-interim-definition, is discussed below with respect to  FIG. 5V . In various embodiments, the modified-interim-definition of the graphical path excludes at least one of the identified plurality of graphical elements or graphical-path-elements in response to a user-based retracing of a portion of the path traced by the motion-based user input. In some of these various embodiments, the excluded at least one of the identified plurality of graphical elements or graphical-path-elements are those whose associated display regions have been passed through by the retracing of the portion of the path traced by the motion-based user input. In various embodiments, the display instructions (e.g., display instructions associated with block  612 ) are configured to cause the input-output device system (e.g.,  120 ,  320 ) to change the display of the graphical representation of the graphical path to account for the excluded at least one of the identified plurality of the graphical elements or graphical-path-elements consistent with the modified-interim-definition of the graphical path. 
     For example, in  FIG. 5U , a graphical representation of graphical path including a plurality of graphical elements or graphical-path-elements is displayed prior to the conclusion of the definition of the graphical path (e.g., prior to an execution of the instructions associated with block  610 - 2   b ), the selection of graphical elements or graphical-path-elements identified or indicated as per an interim-definition of the graphical path generated according to a path traced by a motion-based user input (for example, as per the instructions associated with block  610 - 2   c ). In particular, the interim-definition of the graphical path identifies a selection of transducer graphical elements  502   ee ,  502   ff ,  502   gg , and  502   hh  (e.g., selected from a group of transducer graphical elements  502   ee ,  502   ff ,  502   gg ,  520   hh ,  502   ii , and  502   jj  (collectively transducer graphical elements  502 ) in  FIG. 5U ). It is noted that, upon selection, a visual characteristic set of each of transducer graphical elements  502   ee ,  502   ff ,  502   gg , and  502   hh  has been changed (for example, as compared with unselected transducer graphical elements  502   ii ,  502   jj ) in a manner similar to, or the same as that indicated by various other selected transducer graphical elements  502  shown in various other ones of  FIG. 5 . Additional information  521  is not shown in  FIGS. 5U, 5V and 5W  for clarity, although it is understood that information  521  may or may not be included in other embodiments. 
     In  FIG. 5U , transducer graphical elements  502   ee ,  502   ff ,  502   gg , and  502   hh  are selected by employing a motion-based user input that moves a mouse cursor  519 - 3  along a path (e.g., schematically represented by arrow  531   c  in some embodiments) sequentially through display regions  504   ef - 1 ,  504   fg - 1 , and  504   gh - 1  of between graphical elements  504   ef ,  504   fg , and  504   gh . That is, in some embodiments, transducer graphical elements  502   ee ,  502   ff ,  502   gg , and  502   hh  are indirectly selected in response to a user selection of between graphical elements  504   ef ,  504   fg , and  504   gh . In some embodiments, between graphical elements  504   ef ,  504   fg , and  504   gh  also form part of the graphical elements or graphical-path-elements identified or indicated by the interim-definition of the graphical path. In some embodiments, each of the between graphical elements  504   ef ,  504   fg , and  504   gh  along with each of the transducer graphical elements  502   ee ,  502   ff ,  502   gg , and  502   hh  is identified or indicated as a graphical element or graphical-path-element forming part of, or included in the graphical path in accordance with the interim definition of the graphical path. 
     In some embodiments, each of the between graphical elements  504   ef ,  504   fg , and  504   gh  along with each of the transducer graphical elements  502   ee ,  502   ff ,  502   gg , and  502   hh  is selected as the mouse cursor  519 - 3  moves along sequentially from position  519 - 3   a  (indicated by mouse cursor  519 - 3  shown in broken lines) to  519 - 3   b  (indicated by mouse cursor  519 - 3  shown in broken lines) to  519 - 3   c  (indicated mouse cursor  519 - 3  shown in solid lines) along a path (e.g., schematically represented by arrow  531   c ) traced by the motion-based user input, thereby providing the interim-definition of the graphical path. In some embodiments, each of the locations  519 - 3   a ,  519 - 3   b , and  519 - 3   c  is in a respective one of the display regions  504   ef - 1 ,  504   fg - 1 , and  504   gh - 1  associated with between graphical elements  504   ef ,  504   fg , and  504   gh . In some embodiments, each of between graphical elements  504   ef ,  504   fg , and  504   gh  does not occupy the entirety of a respective one of display regions  504   ef - 1 ,  504   fg - 1 , and  504   gh - 1 . 
     It is noted in some embodiments, that, upon selection, a visual characteristic set of each of the directly selected between graphical elements  504   ef ,  504   fg , and  504   gh  may be changed (e.g., as compared with unselected between graphical elements  504   hi ,  504   ij  and  504   ja ) along with a change in a visual characteristic set of transducer graphical elements  502   ee ,  502   ff ,  502   gg , and  502   hh . Changes in a visual characteristic set of various graphical elements in  FIGS. 5V and 5W  (described below) may be made in accordance with the instructions associated with block  612  in some embodiments. 
     In  FIG. 5V , a modified-interim-definition of the graphical path is generated (for example, by execution of the instructions associated with block  610 - 2   d ). In various embodiments, the modified-interim-definition of the graphical path is generated prior to the conclusion of the definition of the graphical path. In  FIG. 5V , the modified interim definition of the graphical path excludes at least some of the selected graphical elements or graphical-path-elements (e.g., transducer graphical elements  502  and between graphical elements  504 ) shown in  FIG. 5U  in response to a user-based retracing of a portion of the motion-based user input employed to generate the interim-definition of the graphical path shown in  FIG. 5U . In various embodiments, the excluded graphical elements or excluded graphical-path-elements are those whose display regions have been passed through by the retracing of the portion of the path traced by the motion-based user input during the interim-definition of the graphical path. 
     In various embodiments, display instructions (e.g., instructions associated with block  612 - 2   b ) are configured to cause an input-output device system (e.g.,  120 ,  320 ) to change the display of the graphical representation of the graphical path (for example, as provided by the interim-definition of the graphical path) to account for at least one of the identified excluded graphical elements or at least one of the identified excluded graphical-path-elements. In various embodiments, display instructions (e.g., instructions associated with block  612 - 2   b ) are configured to cause an input-output device system (e.g.,  120 ,  320 ) to change the display of the graphical representation of the graphical path (for example, as provided by the interim-definition of the graphical path) to account for at least one of the identified excluded graphical elements or at least one of the identified excluded graphical-path-elements in manner consistent with the modified-interim-definition of the graphical path. In various embodiments, display instructions (e.g., instructions associated with block  612 - 2   b ) are configured to cause an input-output device system (e.g.,  120 ,  320 ) to change the display of the graphical representation of the graphical path (for example, as provided by the interim-definition of the graphical path) to account for at least one of the identified excluded graphical elements or at least one of the identified excluded graphical-path-elements prior to a conclusion of the definition of the graphical path. 
     In some embodiments encompassing  FIG. 5V , transducer graphical elements  502   hh  and  520   gg  along with between graphical elements  504   gh  and  5094   fg  are excluded to generate the modified-interim-definition of the graphical path. In some embodiments, user-based retracing of a portion of the motion-based user input that results in the exclusion of transducer graphical elements  502   hh  and  520   gg  and between graphical elements  504   gh  and  504   fg  includes a movement of mouse cursor  519 - 3  along a path (e.g., schematically represented by arrow  531   d  in some embodiments) sequentially from position  519 - 3   d  (indicated by mouse cursor  519 - 3  shown in broken lines) to position  519 - 3   e  (indicated by mouse cursor  519 - 3  shown in broken lines) to position  519 - 3   f  (indicated by mouse cursor  519 - 3  shown in solid lines). In some embodiments, each of locations  519 - 3   d  and  519 - 3   e  are located in a respective one of the display regions  504   gh - 1  and  504   fg - 1  that were previously passed through during the interim definition of the graphical path in  FIG. 5U . In this regard, particular ones of the graphical elements or graphical-path-elements selected by passing through their respective display regions during the interim-definition of the graphical path in  FIG. 5U  are deselected by retracing through the same respective display regions during the modified-interim-definition of the graphical path in  FIG. 5V . For example, when the mouse cursor  519 - 3  is retraced along a path extending from location  519 - 3   d  in display region  504   gh - 1  to location  519 - 3   e  in display region  504   fg - 1 , between graphical element  504   gh  and transducer graphical element  502   hh  (e.g., originally selected as part of the graphical elements or graphical-path-elements in  FIG. 5U ) are deselected. It is noted, in various embodiments, that transducer graphical element  502   gg  may be directly selected along with transducer graphical element  502   hh  when between graphical element  504   gh  is selected in accordance with a path traced by the motion-based user input (for example, as per the embodiment of  FIG. 5U ). 
     In some of these various embodiments, transducer graphical element  502   gg  is not immediately deselected when the mouse cursor  519 - 3  is retraced out of the display region  504   gh - 1  for various reasons. For example, in some embodiments, transducer graphical element  502   gg  was indirectly selected e.g., when between graphical element  504   fg  was selected in accordance with a path traced by the motion-based user input as shown in  FIG. 5U , and is not deselected until the retracing moves mouse cursor  519 - 3  into and out of the display region  504   fg - 1  of between graphical element  504   fg . For example, in  FIG. 5V , each of transducer graphical elements  502   hh ,  502   gg  and between graphical elements  504   gh ,  504   fg  are shown as deselected (e.g., via a change in their visual characteristics as compared with their selected state in  FIG. 5U ) when mouse cursor  519 - 3  is moved to location  519 - 3   f  in display region  502   ff - 1 . 
     It is noted in some embodiments, retracing may occur through various display regions whose respective graphical elements or graphical-path-elements occupy the entirety thereof. It is noted that an exact retracing of the motion-based user input employed during the interim-definition of the graphical path need not be required during the modified-interim-definition of the graphical path (e.g., location  519 - 3   d  need not be the same as location  519 - 3   c  and location  519 - 3   e  need not be the same as location  519 - 3   b ). 
     In some embodiments, particular ones of graphical elements or graphical-path-elements are not deselected during the modified-interim-definition of the graphical path unless the path traced by the motion-based-user input during the selection of the particular ones of graphical elements or graphical-path-elements and the portion of the path retraced to deselect the particular ones of graphical elements or graphical-path-elements pass through the same ones of the display regions associated with the particular ones of graphical elements or graphical-path-elements. In some embodiments, particular ones of graphical elements or graphical-path-elements are not deselected during the modified-interim-definition of the graphical path unless the path traced by the motion-based-user input during the selection of the particular ones of graphical elements or graphical-path-elements and the portion of the path retraced to deselect the particular ones of graphical elements or graphical-path-elements pass through the same ones of the display regions associated with the particular ones of graphical elements or graphical-path-elements in a reverse order that the display regions associated with the particular ones of graphical elements or graphical-path-elements were passed through during the interim-definition of the graphical path. For example, in  FIG. 5W , each of transducer graphical elements  502   hh ,  502   gg  and between graphical elements  504   gh  and  504   fg  that were selected according to the embodiment of  FIG. 5U  are not deselected, according to some embodiments, when a retracing of a portion of the path traced by the motion-base user input in the embodiment associated with  FIG. 5U  is attempted to be retraced along a path (e.g., represented by arrow  531   e ) generally different than the portion of the path originally employed to select transducer graphical elements  502   hh ,  502   gg  and between graphical elements  504   gh ,  504   fg . The retrace path indicated in  FIG. 5W  does not pass from display region  504   gh - 1  to display region  504   fg - 1  to display region  502   ff - 1  (for example, as shown in  FIG. 5V ) and each of transducer graphical elements  502   hh ,  502   gg  and between graphical elements  504   gh ,  504   fg  are not deselected (e.g., as indicated by a lack of change in their visible characteristics as compared with  FIG. 5U ) according to some embodiments. The attempted retrace path indicated in  FIG. 5W  does not pass from display region  504   gh - 1  to display region  504   fg - 1  to display region  502   ff - 1  in a reverse order that these particular display regions were passed through by the path traced by the motion-based user input employed to select particular ones of the graphical elements corresponding to these particular display regions in  FIG. 5U , and, consequently, in accordance with some embodiments, these particular graphical elements are not deselected during the retracing. 
     In  FIG. 5W , the retraced path moves from location  519 - 3   g  (indicated by mouse cursor  519 - 3  in broken lines) in display region  504   gh - 1  to location  519 - 3   h  (indicated by mouse cursor  519 - 3  in broken lines) in display region  504   hi - 1  to location  519 - 3   i  (indicated by mouse cursor  519 - 3  in broken lines) in display region  504   if - 1  to location  519 - 3   j  (indicated by mouse cursor  519 - 3  in un-broken lines) in display region  502   ff - 1 . Rather than deselecting various graphical elements or graphical-path-elements (e.g., transducer graphical elements  502   hh ,  502   gg  and between graphical elements  504   gh  and  504   fg ) selected during the interim-definition of the graphical path in  FIG. 5U , additional graphical elements or graphical-path-elements are selected in response to the attempted retracing according to some embodiments. For example, between graphical elements  504   hi  and  504   if  and transducer graphical element  502   ii  are shown selected (e.g., as indicated by change in their visual characteristics as compared with their unselected state in  FIG. 5U ) in response to the attempted retracing. 
     Improved mechanisms by which a user can efficiently manipulate the map of transducers  306  via transducer graphical elements  502  in graphical representation  500  will now be described with respect to  FIGS. 7 and 8A-8C , according to various embodiments. In some embodiments, the improved mechanisms allow a user to efficiently cause an automatic repositioning of a desired graphical element, such as a transducer graphical element  502 , to facilitate better viewing. Since viewing and interaction with the transducer graphical elements  502  to control a transducer based device, such as transducer-based device  300 , may occur during a medical procedure, time can be of the essence, and access to desired information may need to occur as quickly as possible. Accordingly, the present inventors have developed mechanisms by which a user, such as a physician or other medical professional, can efficiently and accurately reposition the map of transducers  306  via transducer graphical elements  502  in graphical representation  500  so that the user can better view needed information quickly. 
     In light of these and other benefits,  FIG. 7  includes a respective data generation and flow diagram, which may implement various embodiments of method  700  by way of associated computer-executable instructions according to some example embodiments. In various example embodiments, a memory device system (e.g., memory device systems  130 ,  330 ) is communicatively connected to a data processing device system (e.g., data processing device systems  110  or  310 , otherwise stated herein as “e.g.,  110 ,  310 ”) and stores a program executable by the data processing device system to cause the data processing device system to execute various embodiments of method  700  via interaction with at least, for example, a transducer-based device (e.g., transducer-based devices  200 ,  300 , or  400 ). In these various embodiments, the program may include instructions configured to perform, or cause to be performed, various ones of the instructions associated with execution of various embodiments of method  700 . In some embodiments, method  700  may include a subset of the associated blocks or additional blocks than those shown in  FIG. 7 . In some embodiments, method  700  may include a different sequence indicated between various ones of the associated blocks shown in  FIG. 7 . In this regard, in some embodiments, blocks  702 ,  704 ,  706 , and  708  correspond to blocks  602 ,  604 ,  606 , and  608  described above with respect to  FIG. 6  (although some embodiments of block  708  do not utilize some or all of sub-blocks  608 - 1 ,  608   a ,  608   b ,  608   c ,  608   d , and  608   e  and may, e.g., utilize sub-blocks  708 - 1  and  708 - 2 , discussed below, instead). Accordingly, at least some duplicative descriptions will be omitted. 
     In some embodiments, block  702  is associated with computer-executable instructions (e.g., input, acquisition, sampling, or generation instructions and provided by a program) configured to cause the data processing device system (e.g., data processing device systems  110  or  310 ) to acquire or receive and, e.g., generate, intra-cardiac information from each of one or more transducers of the plurality of transducers (e.g.,  220 ,  306 ) of the transducer-based device (e.g.,  200 ,  300 ), as described above with respect to at least block  602  in  FIG. 6A , block  602 - 1  in  FIG. 6B , and block  602 - 2  in  FIG. 6C . 
     In some embodiments, block  704  is associated with computer-executable instructions (e.g., graphical representation instructions or graphical interface instructions or display instructions provided by a program) configured to cause an input-output device system (e.g., input-output device system  120  or  320 ) to display a graphical representation, such as at least the various examples of the graphical representation  500  described and illustrated above with respect to at least  FIGS. 5A-5R and 5X  and block  604  in  FIG. 6A .  FIGS. 8A-8C  illustrate other examples of such graphical representation  500 , according to various embodiments. Also, the instructions associated with block  706  may be configured to include in the graphical representation  500  a two-dimensional or three-dimensional graphical representation of at least a portion of a transducer-based device (e.g., structure  308  in  FIG. 3 ) as described above with respect to block  606  in  FIG. 6A . It is noted that the graphical representation of the portion of the transducer-based device shown in the graphical representation  500  in each of  FIGS. 8A-8C  is of a transducer-based device like the transducer-based device  300 , but which has fewer elongate members than elongate members  304  of the transducer-based device  300  and fewer transducers than transducers  306  of the transducer-based device  300 . 
     With respect to at least  FIG. 8A , only three graphical elements  502  are called out among the plurality for purposes of clarity. In addition, the graphical representation  500  includes a graphical location  841   a  corresponding to a location of a first pole of the structure (e.g., a pole corresponding to pole  341   a  of structure  308  shown in  FIG. 3C ), and a graphical location  841   b  corresponding to a location of a second pole of the structure opposing the first pole (e.g., a pole corresponding to pole  341   b  of structure  308  shown in  FIG. 3D ), according to some embodiments. In the embodiments illustrated in  FIGS. 8A-8C , such graphical locations  841   a  and  841   b  corresponding to the locations of the poles of the structure of the transducer-based device do not include any particular distinguishing visible markers for the pole locations, but they may be included according to various embodiments. Also note that in  FIG. 8A , the graphical location  841   a  is shown twice at the top and bottom of the graphical representation  500 , since the representative location of the first pole is at the edge of the map in this view. 
     Also with respect to  FIG. 8A , the graphical representation  500  may include a graphical region  841   a - 1  (split across the top and bottom of the graphical representation  500 ) corresponding to a first polar region surrounding the first pole of the structure (e.g., the pole corresponding to pole  341   a  of structure  308  shown in  FIG. 3C ), and a graphical region  841   b - 1  corresponding to a second polar region surrounding the second pole of the structure (e.g., the pole corresponding to pole  341   b  of structure  308  shown in  FIG. 3D ), according to some embodiments. Such polar regions may be defined to be at latitudes greater than or equal to 70 degrees, 75 degrees, 80 degrees, and 85 degrees, according to various embodiments. In some embodiments such as those illustrated in  FIGS. 8A-8C , such graphical regions  841   a - 1  and  841   b - 1  corresponding to the polar regions of the structure of the transducer-based device do not include any particular distinguishing visible markers for the polar regions, but they may be included according to various embodiments. 
     In some embodiments, block  708 , like block  608 , is associated with input-processing instructions indicating reception or reception and processing of various user inputs. In some embodiments, the instructions associated with block  708  may include instructions (e.g., storage instructions associated with block  708 - 1 ) configured to cause reception and storage in a memory device system (e.g., memory device system  130  or  330 ) of particular information indicative of a predetermined location in the graphical representation  500 , e.g., to where it may be desired to automatically reposition a location-of-interest in the graphical representation, such as a transducer graphical element  502 , for improved viewing by the user. The predetermined location may be a region of the graphical representation  500  that exhibits less mapping distortion so that, for example, a desired transducer graphical element  502  and its associated intra-cardiac information can be repositioned away from a region in the map exhibiting relatively greater distortion for improved viewing, such as away from large edge-based-distortion in a Mercator map or transverse Mercator map. Also, according to some embodiments, the predetermined location may be away from an edge of the graphical representation  500 , because such an edge may not only have increased mapping distortion in some embodiments, but such an edge may also or alternatively cause a splitting across the map or a partial disappearance of the associated transducer graphical element  502 , its associated intra-cardiac information, or both the associated transducer graphical element  502  and its associated intra-cardiac information. In this regard, depending on a display device or display configuration that a user has implemented, it may be preferable for the user to set the predetermined location to be a center of the graphical representation  500 , so that a transducer graphical element  502  of interest to the user can automatically be centered in the graphical representation  500  for improved viewing, e.g., with its improved positioning and reduced mapping distortion, according to some embodiments. However, such a predetermined location need not be the center of the graphical representation  500 , and may be any other preferable location within the graphical representation  500 . Further, such a predetermined location may have a default location (e.g., that is factory set or otherwise predefined), while allowing a user to redefine the predetermined location to another location within the graphical representation  500  according to the instructions associated with block  708 - 1 . In some embodiments, block  708 - 1  is omitted from the method  700 , so that a default assignment of the predetermined location is not changeable by a user or a particular class of users (e.g., non-administrators, with an administrator being, for instance, a super-user that has special access rights to the computer system needed to administer such system). 
     In some embodiments, the instructions associated with block  708  may include instructions (e.g., associated with block  708 - 2 ) configured to cause reception of a set of user input via the input-output device system (e.g., input-output device system  120  or  320 ). The set of user input may include an instruction set to reposition a first transducer graphical element (e.g., first transducer graphical element  502 - 2 G in  FIG. 8B ) of the plurality of transducer graphical elements  502  in a state in which the first transducer graphical element is located at a first location (e.g., first location  801  in  FIG. 8B ) in the graphical representation  500  and a second transducer graphical element (e.g., second transducer graphical element  502 - 14 D in  FIG. 8B ) of the plurality of transducer graphical elements  502  is located at a second location (e.g., second location  802  in  FIG. 8B ) in the graphical representation  500 . 
     The second transducer graphical element  502 - 14 D may be considered a reference transducer graphical element that is not user or machine selected, but merely chosen for this description for purposes of the examples of  FIGS. 8B and 8C  to help illustrate the dynamics of the movement of the map of transducers  306  via the transducer graphical elements  502  in the graphical representation  500  to reposition the user-selected first transducer graphical element  502 - 2 G to the predetermined location (e.g., predetermined location  804  in the examples of  FIGS. 8B and 8C ). Accordingly, it should be understood that the present invention is not limited to the user selection of any particular transducer graphical element (i.e., a transducer graphical element other than transducer graphical element  502 - 2 G may be user-selected for placement at the predetermined location) or the use of any particular transducer graphical element as the reference second transducer graphical element (i.e., a transducer graphical element other than transducer graphical element  502 - 14 D may be utilized as a reference to illustrate changes in positioning of the map of transducers  306  via the transducer graphical elements  502  in the graphical representation  500 ). According to some embodiments, as shown, for example, in  FIG. 8B , the second location  802  is closer to a predetermined location  804  in the graphical representation  500  than the first location  801 . According to some embodiments, as shown for example in  FIG. 8B , the second location  802  and the predetermined location  804  are different locations. 
     According to some embodiments associated with at least  FIGS. 7 and 8A-8C , the word “closer”, “distance” (see, e.g., the discussions regarding first distance  821  and second distance  822 , below), and the like as used in this and similar contexts pertaining to distances within the graphical representation  500  refers to relative distances or distances across the graphical representation  500  independent of an orientation of the underlying map of transducers (e.g., transducers  306 ) represented by transducer graphical elements  502 . For example, first location  801  is in the same relative location in the graphical representation  500  in both  FIGS. 8B and 8C , even though the orientation or configuration of the underlying map of transducers changes between  FIGS. 8B and 8C . This definition of “closer”, “distance”, and the like in these contexts, according to some embodiments, is the same for both two-dimensional mappings of the transducers (e.g., such as those shown in  FIGS. 8A-8C ) and three-dimensional representations of transducers (e.g., such as those shown in  FIGS. 5A-5D and 5R ). However, in some embodiments, a three-dimensional representation (e.g., such as those shown in  FIGS. 5A-5D and 5R ) of transducers (e.g., transducers  306 ) on a structure (e.g., structure  308 ) may permit viewing through a representation of a gap in the structure (e.g., through a representation of a gap  344  in  FIG. 3D  in structure  308  between elongate members  304 ). In some of such embodiments, it may be possible to view a representation of a transducer (e.g., transducer  306 ) on a side of the structure (e.g., structure  308 ) opposite the side represented as closest to the viewer. In these embodiments, it may appear that a representation of a first particular transducer (e.g., via a transducer graphical element  502 ) on the opposite side of the structure is closer in the graphical representation  500  to a representation of a second particular transducer on the side of the structure represented as closest to the viewer, than a third particular transducer located on the side of the structure represented as closest to the viewer is located with respect to the second particular transducer, even though the third particular transducer physically is located closer to the second particular transducer than the first particular transducer is located with respect to the second particular transducer. In some of these embodiments, the term “closer”, “distance”, and the like excludes the representations of the transducers on the side of the structure represented as facing away from the viewer, as if the representations of the transducers on the opposing side of the structure were not viewable. 
     Continuing with respect to the example of  FIG. 8B , the set of user input received according to the instructions associated with block  708 - 2  may include a user-selection of the first transducer graphical element  502 - 2 G, such as by a right-mouse click with a mouse cursor located over the transducer graphical element  502 - 2 G or within some other region of the graphical representation  500  corresponding to transducer graphical element  502 - 2 G, such as, for example, a display region akin to display region  502   aa - 1  in  FIG. 5S ). However, any other manner of selecting a transducer graphical element may be implemented, although selection at the transducer graphical element itself or within its corresponding display region (e.g., like display region  502   aa - 1 ) may be particularly intuitive and useful to a user in various contexts. The user-selection of the first transducer graphical element  502 - 2 G or any other transducer graphical element  502  may be motivated by various reasons, such as a desire to have such transducer graphical element automatically repositioned to the predetermined location  804  (which may have been defined according to the instructions associated with block  708 - 1 ) for better viewing. 
     In some embodiments, as shown for example in  FIG. 8B , the user-selection of the first transducer graphical element  502 - 2 G causes, according to the instructions associated with block  708 - 2 , the display of a menu  850 . The menu  850  may include various menu options labeled generically in  FIG. 8B  as Menu Options  1 - 4  and  6 - 8 , with the fifth menu option  851  being a request to automatically reposition the selected transducer graphical element  502 - 2 G to the predetermined location. In the example of  FIG. 8B , the predetermined location  804  is the center of the two-dimensional projection of the graphical representation  500 . However, the predetermined location  804  may be in other predetermined locations within the graphical representation  500  in other embodiments. Also in the example of  FIG. 8B , the predetermined location  804  coincides with a first particular location  805  corresponding to the second pole of the structure (e.g., like pole  341   b  of structure  308  shown in  FIG. 3D ). In this regard, in some embodiments, the first particular location  805  in the graphical representation  500  is closer to the predetermined location  804  than to the first location  801  at least in a state in which the first transducer graphical element  502 - 2 G is located at the first location  801 . In some embodiments, such as those encompassed by the example of  FIG. 8B , the first particular location  805  is located centrally in the graphical representation  500  at least in the state in which the first transducer graphical element  502 - 2 G is located at the first location  801 . 
     Upon display of the menu  850 , according to some embodiments, the user may select menu option  851 , e.g., by way of a mouse click or any other selection technique, to initiate the automatic repositioning of the selected first transducer graphical element  502 - 2 G, which occurs according to the instructions associated with block  709 . The set of user input received according to the instructions associated with block  708 - 2  with respect to the example of  FIG. 8B  may include or be the initial user selection that causes display of the menu  850  as well as the user&#39;s subsequent selection of menu option  851 , according to some embodiments. However, any number (one or more) and sequence (if more than one) of user inputs needed to produce an instruction set to reposition a transducer graphical element or other graphical element may be implemented, according to various embodiments. 
     In some embodiments, the instructions associated with block  709  are associated with computer-executable instructions (e.g., graphical representation modification instructions provided by a program) configured to cause, in response to conclusion of receipt of the set of user input including the instruction set to reposition the first transducer graphical element (e.g., first transducer graphical element  502 - 2 G) according to the instructions associated with block  708 - 2 , an input-output device system (e.g., input-output device system  120  or  320 ) to reposition the first transducer graphical element (e.g., first transducer graphical element  502 - 2 G) from the first location (e.g., first location  801 ) in the graphical representation  500  to the predetermined location (e.g., predetermined location  804 ) in the graphical representation  500 . 
     For example, as shown in  FIG. 8C , upon conclusion of receipt of the user&#39;s selection of the first transducer graphical element  502 - 2 G that brings up the menu  850  and the user&#39;s selection of menu option  851 , the map of transducers  306  via the transducer graphical elements  502  is automatically shifted from the state of  FIG. 8B  to the state of  FIG. 8C  to place the selected first transducer graphical element  502 - 2 G at the predetermined location  804 , which, in this example, is centrally located in the graphical representation  500 , for improved viewing, according to the instructions associated with block  709 . The shifting of the map of transducers  306  via the transducer graphical elements  502  may be implemented, for example, by a re-calculation of the mapping (e.g., via a transverse Mercator projection according to the examples of  FIGS. 8B and 8C  or other projection) of the structure of the transducer-based device (e.g., like structure  308  of transducer-based device  300 ), with the selected first transducer graphical element  502 - 2 G located at the predetermined location  804 , according to some embodiments. In this regard, it can be seen that the predetermined location  804  is more centrally located in the graphical representation  500  in the example of  FIGS. 8B and 8C  than the first location  801 , and the repositioning of the first transducer graphical element  502 - 2 G according to the instructions associated with block  709  centralizes (e.g., to draw or bring to or toward a center point or to gather into or about a center) the first transducer graphical element  502 - 2 G in the graphical representation  500 , according to some embodiments. 
     According to some embodiments, the repositioning of the first transducer graphical element  502 - 2 G to the predetermined location  804 , according to the instructions associated with block  709 , causes the second transducer graphical element  502 - 14 D to be repositioned from the second location  802  in  FIG. 8B  to a third location  803  in  FIG. 8C , due to the shifting of the map of transducers  306  via the transducer graphical elements  502  in the graphical representation  500  between  FIGS. 8B and 8C . In some embodiments, such as those shown in  FIG. 8C , the predetermined location  804  is more centrally located in the graphical representation  500  than the third location  803 . According to some embodiments, such as those shown in  FIG. 8C , the first location  801  is spaced in the graphical representation  500  from the predetermined location  804  by a first distance  821  and the third location  803  is spaced from the second location  802  by a second distance  822 , the first distance  821  and the second distance  822  being different distances. According to some embodiments, this difference in distances may be due at least in part to distortion present in the map of transducers  306  via the transducer graphical elements  502  in the graphical representation  500 . According to some embodiments, this difference in distances may be due at least in part to distortion cause by the conformal mapping of transducers  306  via the transducer graphical elements  502  in the graphical representation  500 . According to some embodiments, this difference in distances may be due at least in part to distortion caused by a mapping of transducers  306  via the transducer graphical elements  502  in the graphical representation  500  according to a transverse Mercator projection. In the example of  FIG. 8C , the illustrated map of transducers  306  via transducer graphical elements  502  includes distortion that increases with distance from the depicted locations of the poles  841   a ,  841   b  in the graphical representation  500 , when mapping the three-dimensional structure (e.g., like structure  308 ) into the two-dimensional planar view according to the transverse Mercator projection. Similarly, according to some embodiments, such as those shown in  FIG. 8C , the predetermined location  804  is in a first direction  811  extending from the first location  801  and in a second direction  812  extending from the third location  803  in the graphical representation  500 , with the first direction  811  and the second direction  812  being non-parallel directions. 
     According to some embodiments, and as shown in  FIG. 8C , the repositioning of the first transducer graphical element  502 - 2 G to the predetermined location  804 , according to the instructions associated with block  709 , causes the graphical representation  500  to be reconfigured to cause a second particular location  806  in the graphical representation  500  to correspond to the second pole of the structure (e.g., like pole  341   b  of structure  308  shown in  FIG. 3D ) instead of the first particular location  805 , which corresponded to the second pole of the structure in the state of  FIG. 8B . In some embodiments, such as those shown in  FIG. 8C , the second particular location  806  is located farther from the predetermined location  804  than the first particular location  805 . 
     According to some embodiments, and as shown by a comparison of  FIGS. 8B and 8C , the repositioning of the first transducer graphical element  502 - 2 G to the predetermined location  804 , according to the instructions associated with block  709 , causes at least the second transducer graphical element  502 - 14 D to appear rotated in the graphical representation  500  about a graphical region corresponding to a pole location (e.g., the graphical region being located at the first particular location  805  in  FIG. 8B  and at the second particular location  806  in  FIG. 8C ) of a pole (e.g., pole  841   b ) of the structure (e.g., structure  308 ) between a transition from a state in which the first transducer graphical element  502 - 2 G is located at the first location  801  in  FIG. 8B  and a state in which the first transducer graphical element  502 - 2 G is located at the predetermined location  804  in  FIG. 8C  upon conclusion of the repositioning of the first transducer graphical element  502 - 2 G from the first location  801  in the graphical representation  500  to the predetermined location  804  in the graphical representation  500 . 
     Although not shown in  FIGS. 8A-8C , intra-cardiac information acquired according to the instructions associated with blocks  702  and  602  and illustrated, for example, in  FIGS. 5G-5R , may be included in the graphical representation  500  in  FIGS. 8A-8C . For instance, according to some embodiments, the graphical representation in  FIGS. 8A-8C  may represent such intra-cardiac information among the plurality of transducer graphical elements  502 . Upon repositioning of the first transducer graphical element  502 - 2 G from the first location  801  to the predetermined location  804  between  FIGS. 8B and 8C , any intra-cardiac information included in the graphical representation  500  of  FIGS. 8B and 8C  would be correspondingly repositioned and updated, according to some embodiments. For instance, the graphical representation modification instructions associated with block  709  may be configured to cause, in response to conclusion of receipt of the set of user input including the instruction set to reposition the first transducer graphical element  502 - 2 G according to the instructions associated with block  708 - 2 , the input-output device system (e.g., input-output device system  120  or  320 ) to reposition the representation of the intra-cardiac information among the plurality of transducer graphical elements  502  in accordance with the repositioning of the first transducer graphical element  502 - 2 G from the first location  801  in the graphical representation  500  to the predetermined location  804  in the graphical representation  500 . 
     Although the method  700  may appear to terminate with block  709  in  FIG. 7 , additional blocks, such as, but not limited to, one or more or all of blocks  608 ,  608 - 1  (including sub-blocks  608   a - 608   e ),  610 ,  610 - 1  (including sub-blocks  610 - la  to  610 - 1   c ),  610 - 2  (including sub-blocks  610 - 2   a  to  610 - 2   d ),  612 ,  612 - 2  (including sub-blocks  612 - 2   a  and  612 - 2   b ), and  614  in  FIGS. 6A, 6D, 6E, and 6F  may follow block  709 . For instance, upon repositioning first transducer graphical element  502 - 2 G to the predetermined location  804 , the user may proceed with defining a graphical path, activating transducers, or both, as earlier described, according to some embodiments. Also for example, in addition or in the alternative, the defining a graphical path, activating transducers, or both may occur before the repositioning or be interrupted by the repositioning, according to various embodiments. 
     In this regard in some embodiments, the input-output device system (e.g., input-output device system  120  or  320 ) is communicatively connected to the transducer-based device (e.g., transducer-based device  300 ), and the program implementing method  600  or method  700  includes selection instructions (e.g., which may be the instructions associated with block  608  in some embodiments) configured to cause reception of a set of user input (e.g., a second set of user input which may be distinguished from the (‘first’) set of user input associated with block  708 - 2 ) via the input-output device system. This second set of user input may include a second instruction set (e.g., which may be distinguished from the (‘first’) instruction set associated with block  708 - 2 ) to select, in a state (e.g., upon conclusion of execution of the instructions associated with block  709 ) in which the input-output device system has repositioned the first transducer graphical element from the first location in the graphical representation to the predetermined location in the graphical representation, a set of transducer graphical elements (e.g., such as those transducer graphical elements  502  selected in  FIG. 5Q ) of the plurality of transducer graphical elements  502 . In some embodiments, the set of transducer graphical elements may include the first transducer graphical element (e.g.,  502 - 2 G), the second transducer graphical element (e.g.,  502 - 14 D), or both the first transducer graphical element (e.g.,  502 - 2 G) and the second transducer graphical element (e.g.,  502 - 14 D). In some embodiments, the program implementing method  600  or method  700  also includes activation instructions (e.g., which may be the instructions associated with block  614  in some embodiments) configured to cause activation, via the input-output device system, of a set of transducers (e.g., such as those transducers  306  corresponding to the selected transducer graphical elements  502  in  FIG. 5Q ) of the plurality of transducers  306  of the transducer-based device  300  in response to reception of the second set of user input including the second instruction set to select the set of transducer graphical elements, the set of transducers to be activated corresponding to the selected set of transducer graphical elements. In some embodiments, the activation of the set of transducers may include activating the set of transducers to transmit energy sufficient for tissue ablation. 
     While some of the embodiments disclosed above are described with examples of cardiac mapping, the same or similar embodiments may be used for mapping other bodily organs, for example, gastric mapping, bladder mapping, arterial mapping and mapping of any lumen or cavity into which the devices of the present invention may be introduced. 
     While some of the embodiments disclosed above are described with examples of cardiac ablation, the same or similar embodiments may be used for ablating other bodily organs or any lumen or cavity into which the devices of the present invention may be introduced. 
     Subsets or combinations of various embodiments described above can provide further embodiments. 
     These and other changes can be made to the invention in light of the above-detailed description. In general, in the following claims, the terms used should not be construed to limit the invention to the specific embodiments disclosed in the specification and the claims, but should be construed to include other transducer-based device systems including all medical treatment device systems and all medical diagnostic device systems in accordance with the claims. Accordingly, the invention is not limited by the disclosure, but instead its scope is to be determined entirely by the following claims.