Abstract:
A method of calibrating an automated placement machine having a robotic arm for picking up parts from a parts tray and a drawer for holding the parts tray therein. The method includes the acts of: positioning a calibration jig so that it is juxtapositioned at a corner of the drawer of the placement machine; positioning the robotic arm of the placement machine such that a portion of the robotic arm engages a portion of the calibration jig; determining a first set of spatial coordinates of the robotic arm when it is engaged with the calibration jig; and setting an origin point for the robotic arm such that the first set of spatial coordinates serves as the origin point from which movements of the robotic arm may be gauged.

Description:
RELATED APPLICATIONS 
     This application is related to a commonly-owned, co-pending U.S. patent application entitled, CALIBRATION JIG FOR AN AUTOMATED PLACEMENT MACHINE, U.S. application Ser. No. 09/057,033, Attorney Docket No. MCMSPAT.011A, filed concurrently herewith. 
    
    
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     The invention relates to the automatic placement of components onto circuit boards. More particularly, the invention relates to a method and apparatus for calibrating an automated placement machine which retrieves parts from a parts tray and places them onto desired locations of an assembly such as a printed circuit board (PCB). 
     2. Description of the Related Art 
     In the electronics industry, high speed automated placement machines are often used to place electronic parts or components onto bare PCBs. These automated placement machines typically include a robotic arm which has a vacuum nozzle for lifting an electronic component, carrying the component to a designated location, and placing the component onto a PCB at a designated location on the PCB. With the use of some automated placement machines, after the part is picked up by the robotic arm, the part is placed onto a part shuttle which transports the part within the vicinity of a second robotic arm of the automated placement machine. The second robotic arm also includes a vacuum nozzle that picks up the part from the parts shuttle and places the part at a designated location on the PCB. In order to expedite this process, components are typically extracted directly out of the packaging medium in which they are shipped by a manufacturer, or distributor, of the components. 
     One commonly used packaging medium is known as a parts tray. Typically, parts trays contain a number of cavities, each capable of containing a component therein. The physical dimensions of each cavity within a particular parts tray are typically the same for each cavity and the cavities are usually arranged in a uniform matrix pattern. Therefore, by knowing the dimensions of each cavity and also taking into account the particular matrix configuration of the cavities for a particular parts tray, it is possible to calculate the relative spatial coordinates (i.e., positions) of each of the components contained within these cavities with respect to a common point of reference. After the coordinate positions of each of the components have been determined, the robotic arm may be programmed to successively move to each coordinate position corresponding to the location of the components in order to retrieve each of the components from it&#39;s respective cavity. 
     In one prior art method, multiple parts trays may be accessed by an automated placement machine by providing a multi-tray unit, as it is commonly known in the industry. The multi-tray unit includes multiple drawers, each capable of holding one or more parts trays therein. The multiple drawers are typically stacked one on top of another. When a robotic arm is programmed to access a parts tray in one of the drawers, the multi-tray unit will move select drawers in the stack so as to create a space above the designated drawer containing the desired parts tray. The robotic arm can then move in this space above the designated drawer in order to retrieve components from the designated parts tray. 
     Referring to FIG. 1, a typical multi-tray unit  100  is illustrated. The multi-tray unit  100  includes a base  101  and a tray tower  103  attached to and extending upwardly from the base  101 . 
     Multiple drawers  105  are coupled to the tray tower  103 . Each drawer  105  is typically movably attached to the tray tower  103  by means of a lead screw assembly  107 , driven by a lead screw assembly motor  108 , which can move a select group of the drawers  105 . Each drawer  105  includes a cavity  106  for receiving and holding a parts tray (not shown) therein. The multi-tray unit  100  of FIG. 1, as well as various other types of multi-tray units, which perform similar functions to those described above, are well-known in the art. In one embodiment, the multi-tray unit  100  is a Fuji Multi-tray unit manufactured by Fuji, Inc. which is available with the Fuji-IP2 or IP3 automated placement machines. 
     When an automated placement machine (not shown) is programmed to retrieve a particular component from a designated parts tray, a robotic arm  109  of the automated placement machine will move to a particular spatial coordinate which has been programmed into a database of the automated placement machine. As shown in FIG. 1, the robotic arm  109  has a vacuum nozzle  111  attached thereto for picking up components from a parts tray. A designated parts tray is made accessible to the vacuum nozzle  111  of the robotic arm  109  by the tray tower  103  which moves selected drawers  105  such that a space is provided above a designated drawer  105   a  containing the designated parts tray. The robotic arm  109  can then move in this space above the designated drawer  105   a  in order to pick up selected components with its vacuum nozzle  111 . 
     One method of providing a space above the designated drawer  105   a  is to move all the drawers  105  above the designated drawer  105   a  upwardly and away from the designated drawer  105   a.  Another method of making the designated drawer  105   a  accessible is to move the designated drawer  105   a  and all the drawers  105  beneath it, downwardly and away from the drawers  105  above the designed drawer  105   a.  In order to move the trays in this fashion, the lead screw assembly motor  108  rotates either clockwise or counter-clockwise, depending on which way the trays are to be moved, and drives the lead screw assembly  107  housed within the tray tower  103 . The lead screw assembly  107  includes a threaded shaft (not shown) which has relatively large threads in the center portion of the shaft when compared to the threads at the upper and lower portions of the shaft. The larger, more coarse, threads at the center portion of the shaft causes the trays to move more quickly through the center portion of the shaft while the smaller, finer, threads at the upper and lower portions of the shaft cause the trays to move much slower so that they do not crash into the upper or lower ends of the tower assembly  103 . By moving the robotic arm  109  near the area of the center portion of the shaft, the robotic arm  109  may be positioned in the space between two trays so as to be underneath one tray and above another. In this position, the robotic arm  109  can retrieve components from the parts tray immediately below the robotic arm  109 . 
     FIG. 2 is a side elevational view of the multi-tray unit  100  of FIG.  1 . As shown in FIG. 2, the robotic arm  109  is positioned above the designated drawer  105   a  such that the vacuum nozzle  111  may pick up a component (not shown) contained within a parts tray (not shown) which is in turn contained within the designated drawer  105   a.    
     FIG. 3 is a perspective view of a typical parts tray  200  having multiple cavities, or pockets  201 , arranged in a 3×4 matrix. Within each cavity  201  is a component  203 . The parts tray  200  is a common packaging medium in which components, particularly integrated circuits (ICs), are shipped. In order to secure each of the components  203  in their respective cavities  201 , the top of the parts tray  200  is typically covered with an electrostatically safe film or cover sheet (not shown). When the components  203  are ready to be assembled onto a PCB, the cover sheet on the parts tray  200  is removed and the parts tray  200  is typically inserted into a drawer  105  of a multi-tray unit  100  (FIGS.  1  and  2 ). As discussed above, with reference to FIG. 1, the components  203  may then by extracted from the parts tray  200  by a robotic arm  109  (FIG. 1) of an automated placement machine. 
     FIG. 4 is a top plan view of the parts tray  200  of FIG. 3 contained within a drawer  105  having a cavity  106  for holding the parts tray  200  therein. The parts tray  200  includes twelve cavities  201  arranged in a 3×4 matrix, each cavity  201  containing a component  203  therein. As shown in FIG. 4, a reference point  300  is selected at a point where an inside corner of the cavity  106  is located, for example. With respect to the reference point  300 , the coordinates of each of the components  203  may be calculated (as explained in further detail below) such that an automated placement machine may be programmed to move a robotic arm (not shown) to the coordinates of each component  203  in order to pick up the component  203 . The coordinates of a first component  203   a,  for example, are calculated by measuring the distances X 1  and Y 1 . The distance X 1  represents the distance along an x-axis of a two-dimensional Cartesian coordinate system between a center point  205  of the body of the first component  203   a  and the reference point  300 . Similarly, the distance Y 1  represents the distance along a y-axis of the two-dimensional Cartesian coordinate system-between the center point  205  of the body of the component  203   a  and the reference point  300 . 
     After the first component  203   a  has been retrieved and placed at a desired location, any one of the remaining components  203  may be retrieved by the robotic arm. The distance X 2  represents the component pitch, or distance between adjacent components  203 , in the x-direction. The distance Y 2  represents the component pitch, or distance between adjacent components  203 , in the y-direction. By measuring and recording the distances X 1 , Y 1 , X 2  and Y 2 , with respect to the reference point  300 , the spatial coordinates of each component  203  in the parts tray  200  may be calculated. Once calculated, these coordinates can then be entered into a software program stored in a database of an automated placement machine, such as the Fuji IP2 or IP3 placement machine. The placement machine can then move a robotic arm to the locations which correspond to these coordinates in order to retrieve components. In one embodiment, the distances XI, Y 1 , X 2  and Y 2  are manually measured by a system operator and entered as inputs to a software program stored in a database of the automated placement machine. The software program executes the protocol for moving the robotic arm to desired locations in accordance with entered data. Alternatively, the distances X 1 , X 2 , Y 1  and Y 2  may be automatically measured by a machine such as the vision system of an automated placement machine, for example. 
     Typically, a placement machine gauges the distance moved by a robotic arm by counting “motor pulses” of a motor which drives the motion of the robotic arm. A motor tick may be a specified number of rotations of a sprocket, drive wheel, or the movement of any other mechanism which has a relatively constant magnitude of motion with respect to a specified distance traveled by the robotic arm. Therefore, if the distances X 1  and Y 1  have been measured to be 3 and 4 inches, respectively, an automatic placement machine may first move a robotic arm, starting from a home position corresponding to the reference point  300 , in the x-direction until it counts a number of motor pulses that corresponds to 3 inches. The automatic placement machine may then move the robotic arm in the y-direction until it counts a number of motor pulses that correspond to four inches. 
     After the robotic arm has retrieved the first component  203   a  and placed the component  203   a  onto a designated location on a PCB, the robotic arm may then retrieve a second component, typically either  203   b  or  203   c.  For example, if the robotic arm is programmed to retrieve the component  203   b  next, the robotic arm will first be positioned at its home position. Starting from the home position, the robotic arm may first be moved in the x-direction until the automated placement machine counts a number of motor pulses corresponding to the distance X 1 +X 2 . The robotic arm is then moved in the y-direction until a number of motor pulses corresponding to the distance Y 1  are counted. After the robotic arm has been moved in this fashion, it should be at a position directly above the component  203   b  such that the vacuum nozzle of the robotic arm is centered above the pick-up point  205  of the component  203   b.    
     However, the method described above is not accurate if an origin, or home position, of the robotic arm is not accurately calibrated to match the reference point  300  of FIG.  4 . In prior art methods, the process of calibrating a robotic arm is performed manually by moving the robotic arm to the designated reference point. The system operator then tries to visually align a vacuum nozzle of the robotic arm such that it is centered above the reference point  300  of FIG.  4 . This process requires careful judgment, and sometimes guesswork, by the system operator. Additionally, this process is tedious and unnecessarily time consuming. Accordingly, it can be appreciated that if the calibration of the home position of the robotic arm is not accurately performed, all subsequent movements of the robotic arm will be in error by an amount proportional to the error in calibration. Often times, if the operator is in error by merely a fraction of an inch in calibrating the origin position of the robotic arm, all subsequent movements of the robotic arm will be in error, leading to subsequent problems during the retrieval and placement of the components by the robotic arm. As used herein, the terms “home position,” “origin,” “origin point,” and “origin position” are synonymous and interchangeable, and refer to a position or location of a robotic arm from which all movements of the robotic arm may be measured or gauged. As used herein, the term “calibration” and any conjugation thereof refers to the determination and setting of the home position of the robotic arm. 
     If the home position of the robotic arm is inaccurately calibrated, the robotic arm will either pick up each component off-center from its intended pick-up point or not be able to pick up the component at all. If the robotic arm picks up the component off-center from its intended pick-up point, it must compensate for the deviation in order to properly place the component onto the PCB. Often, if the misalignment of a component is too great, the automated placement machine can not compensate for this deviation. In this situation, the component is either placed improperly, or not placed at all. 
     In the electronics manufacturing industry, components such as integrated circuit (IC) chips are relatively small and must be placed onto a specified location of a PCB within millimeters of the intended location, such that the leads of the component are properly matched with specified pads on the PCB. If each lead of an IC, for example, is not properly matched with each pad of the PCB, the PCB is defective and must be reworked. Therefore, what is needed is a uniform and accurate method of consistently establishing a home position, or origin, from which the motion of the robotic arm of an automated placement machine may be gauged. By accurately calibrating the robotic arm, an automated placement machine may be programmed to automatically retrieve components from a parts tray and place them onto a PCB with a desired degree of precision. 
     SUMMARY OF THE INVENTION 
     The invention addresses the above and other needs by providing a calibration jig for easily and accurately calibrating a robotic arm of an automated placement machine by determining a home position of the robotic arm with respect to a given location and orientation of a parts tray. After the home position of the robotic arm has been calibrated, the robotic arm may thereafter be automatically moved in accordance with calculated spatial coordinates corresponding to the location of components within the cavities of a parts tray. 
     In one embodiment of the invention, a method of establishing an origin point for an automatic placement machine having a robotic arm which retrieves parts from a container, includes: positioning a calibration jig at a predetermined location with respect to the container; and engaging a portion of the robotic arm with the calibration jig so as to establish the origin point for the robotic arm, wherein the origin point serves as a reference point from which subsequent movements of the robotic arm are measured. 
     In another embodiment, a method of establishing an origin point for an automatic placement machine having a robotic arm for retrieving parts from a container, includes: positioning a calibration jig so that it is located at a predetermined location with respect to the container; positioning the robotic arm of the placement machine such that a portion of the robotic arm engages a portion of the calibration jig; determining a first set of spatial coordinates of the robotic arm when it is engaged with the calibration jig; and setting an origin point of the placement machine such that the first set of spatial coordinates serves as the origin point from which subsequent movements of the robotic arm may be measured. 
     In a further embodiment of the invention, a method of calibrating a home position for a robotic arm of an automated placement machine which retrieves components from a parts tray having cavities for containing components therein, includes: positioning a calibration jig at a specified distance from a first component within a cavity of the parts tray; positioning the robotic arm of the automated placement machine such that a portion of the robotic arm engages a portion of the calibration jig; determining a first set of spatial coordinates of the robotic arm when it is engaged with the calibration jig; and setting the home position of the robotic arm such that the first set of spatial coordinates serves as the home position from which subsequent movements of the robotic arm may be measured. 
     In yet another embodiment, a method of automatically retrieving components from a parts tray with a robotic arm of an automated placement machine, includes: determining a first set of x-y spatial coordinates corresponding to a location of a first component contained within a first cavity of the parts tray, wherein the first set of x-y spatial coordinates is determined with respect to a reference point; entering the first set of x-y spatial coordinates into a memory within an automated placement machine; positioning a calibration jig at the reference point such that a portion of the calibration jig is substantially aligned with the reference point; positioning the robotic arm of the automated placement machine such that a portion of the robotic arm engages the portion of the calibration jig; setting a home position of the robotic arm as the position of the robotic arm when it is engaged with the calibration jig; and moving the robotic arm from its home position to a location corresponding to the first set of x-y spatial coordinates so as to retrieve the first component. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIG. 1 is a perspective view of a typical multi-tray unit, having multiple drawers for receiving and holding parts trays therein, and a robotic arm having a vacuum nozzle for retrieving components from a parts tray. 
     FIG. 2 is a side elevational view of the multi-tray unit and the robotic arm of FIG.  1 . 
     FIG. 3 is a perspective view of a typical parts tray having multiple cavities arranged in a matrix formation, each cavity holding a component therein. 
     FIG. 4 is a top plan view of the parts tray of FIG.  3 . 
     FIG. 5 is a perspective view of one embodiment of a calibration jig in accordance with the invention. 
     FIG. 6 is a side elevational view of the calibration jig of FIG.  5 . 
     FIG. 7 is a top view of a drawer of a multi-tray unit illustrating a top view of the calibration jig of FIG. 5 positioned at a corner thereof. 
     FIG. 8 is a side elevational view, taken along line  8 — 8  of FIG. 7, which illustrates the calibration jig of FIG. 5 positioned at the corner of the drawer. 
     FIG. 9A is a side elevational view of a vacuum nozzle, attached to a robotic arm, illustrating the vacuum nozzle positioned above the calibration jig of FIG.  5 . 
     FIG. 9B is a side elevational view of the vacuum nozzle of FIG. 9A illustrating it as being fully engaged with the calibration jig of FIG.  5 . 
    
    
     DETAILED DESCRIPTION OF THE INVENTION 
     The invention is described in further detail below with reference to the Figures, wherein like elements are referenced with like numerals throughout. 
     Referring to FIG. 5, a perspective view of a calibration jig  400 , in accordance with one embodiment of the invention, is illustrated. The calibration jig  400  includes a first wall member  401  and a second wall member  403 , which meets the first wall member  401  at a juncture, or intersection  405 . In one embodiment, the second wall member  403  is substantially perpendicular to the first wall member  401 , thereby providing a 90° angled portion which conforms to an inside corner of a drawer  105  (FIG.  1 ), for example. However, the calibration jig  400  is not limited to any particular geometric configuration and may be of any shape and size suitable for engaging a robotic arm  109  (FIG. 1) for the purpose of establishing a home position therefore. In fact, the calibration jig  400  need not even make contact with the drawer  105  or a parts tray  200  (FIG. 3) contained within the drawer  105 . As long as the calibration jig  400  may be positioned and secured at a fixed location with respect to the drawer  105  and/or the parts tray  200 , the calibration jig  400  will be able to provide a home position for the robotic arm  109 , in accordance with the invention. 
     Extending upwardly from each of the wall members  401  and  403  is a tapered portion  407  having a pointed pinnacle  409 . As is explained in further detail below, magnet portions  411  may be integrated into the wall members  401  and  403  for the purpose of holding the calibration jig  400  against a metal wall of a drawer  105  (FIG. 1) which contains one or more parts trays. The calibration jig  400  may be made of any material which is rigid and not susceptible to bending or deforming. In one embodiment, it is made from molded aluminum. 
     FIG. 6 is a side elevational view of the calibration jig  400  of FIG.  5 . As illustrated in FIG. 6, the tapered portion  407  extends upwardly at a sloped angle from an outer edge  413  of the first wall member  401  until it reaches the pinnacle  409 . The magnet portion  411  is embedded in the first wall member  401  at a lower portion of the first wall member  401  such that it is flush with the outer surface of the first wall member  401 . It is important that the magnet portion  411  does not extrude outwardly from the surface of the first wall member  401  so that the first wall member  401  may make flush contact with a side wall of a drawer, as is described in further detail below. It is appreciated that the second wall member  403  of the calibration jig  400  illustrated in FIG. 5 is symmetrically identical to the first wall member  401  as shown in FIG.  6 . 
     Referring to FIG. 7, in one embodiment of the invention, during a calibration process, the calibration jig  400  is placed at an inside corner  151  of a drawer  105  such that the intersection  405  of the calibration jig  400  is aligned with the intersection of two side walls  153  and  155  of the drawer  105  which forms the corner  151 . The first wall member  401  of the calibration jig  400  contacts the first side wall  153  of the drawer  105  such that it is flush with the inside surface of the first side wall  153 . The second wall member  403  of the calibration jig  400  contacts the second side wall  155  of the drawer  105  such that it is flush with the inside surface of the second side wall  155 . The magnet portion  411  (not shown) is integrated into at least one of the wall members  401  and  403  of the calibration jig  400  for the purpose of holding the calibration jig  400  in a relatively fixed position at the corner  151  of the drawer  105 . Of course, in order for the magnet portion  411  to accomplish its purpose the side walls  153  and  155  of the drawer  105  must be made from a suitable magnetically susceptible material such as a metal. 
     Also shown in FIG. 7 is a parts tray  200  contained within the cavity  106  of the drawer  105 . The parts tray  200  includes multiple cavities  201  each containing a component  203 . After a robotic arm (not shown) has been calibrated by the calibration jig  400 , the robotic arm will then move to coordinate positions which have been calculated and entered into a database as described above with reference to FIG. 4, which correspond to respective pick-up points for each component  203 . The process of calibrating the robotic arm with the calibration jig  400  is discussed below. 
     FIG. 8 shows an elevational side view taken along lines  8 — 8  of FIG.  7 . The calibration jig  400  is positioned at an inside corner  151  of the drawer  105 . The first wall member  401  of the calibration jig  400  is flush against the inside surface of the first side wall  153  of the drawer  105 . As shown in FIG. 8, the tapered portion  407  of the calibration jig  400  extends upwardly beyond the first side wall  153  and tapers into the pinnacle  409 . FIG. 9A illustrates one embodiment of a method of calibrating the home, or origin, position of a robotic arm  109  having a vacuum nozzle  111  and a suction hole  113  within the vacuum nozzle  111 . A first step of the calibration process is to manually position the robotic arm  109  such that the suction hole  113  of the vacuum nozzle  109  is roughly aligned with the pinnacle  409  of the calibration jig  400 . Typical automated placement machines have robotic arms which may be moved manually while the placement machine continues to track the coordinate position of the robotic arm. In other words, if a system operator manually moves the robotic arm  109  five inches in the positive x-direction, a tracking system within the automated placement machine will indicate that the robotic arm  109  is now at a position which is five inches in the positive x-direction from its previous position. 
     After the robotic arm  109  has been positioned such that the suction hole  113  is roughly aligned with the pinnacle  409  of the calibration jig  400 , the robotic arm  109  is moved downwardly so as to enable the vacuum nozzle  111  to engage the calibration jig  400  such that the pinnacle  409  of the calibration jig  400  enters the suction hole  113 . Once the vacuum nozzle  11  has fully engaged the calibration jig  400  such that the robotic arm  109  cannot be moved further down, the home position of the robotic arm is established. FIG. 9B is a side elevational view which illustrates the vacuum nozzle  111  in a fully engaged position with respect to the calibration jig  400 . At this point, the position of the robotic arm  109  may be set, or stored, as the home position from which all subsequent motion of the robotic arm  109  may be gauged. 
     In order to set and store the calibration point, the automated placement machine uses motor pulses that are fed back to a computer of the placement machine from a servo amplifier of the placement machine that controls the motor that drives the robotic arm  109 . By counting the motor pulses, a main function program stored and executed in the computer of the placement machine can track the position of the robotic arm  109 . Each movement of the robotic arm  109  in either an x, y or z direction corresponds to a number of pulses in the x, y or z direction. Typically, the main function program displays a first number corresponding to the x-position, a second number corresponding to the y-position and a third number corresponding to the z-position of the robotic arm  109 . These numbers are displayed on a monitor screen coupled to the computer of the placement machine. The computer stores and executes the main function program. 
     After the robotic arm  109  has been positioned at a home position using the calibration jig  400 , as described above, the x, y and z coordinates of the robotic arm  109  may be entered into the main function program. The main function program then stores these coordinates and sets the home position, or origin, of the robotic arm  109  to these coordinates. In one embodiment, the automated placement machine is a Fuji IP machine manufactured by Fuji, Inc. and the main function program is the “Machine Proper” program, also manufactured by Fuji, Inc. These types of automated placement machines and their corresponding main function programs are well-known in the art. 
     As can be seen in FIG. 9B, the home position, or origin point, established for the robotic arm  109  substantially corresponds to the pinnacle  409  of the calibration jig  400 . The pinnacle  409 , in turn, substantially corresponds to the reference point  300  (FIG. 4) of the drawer  105  (FIG.  4 ). Therefore, it will be appreciated that the origin point of the robotic arm  109  substantially corresponds to the reference point  300  of FIG.  4 . Referring again to FIG. 4, if the origin point of the robotic arm corresponds to the reference point  300 , by automatically moving the robotic arm from its origin point, a distance X 1  in the x-direction and a distance Y 1  in the y-direction, the vacuum nozzle will be in substantial alignment with the pick-up point  205  on the body of the first component  203   a.    
     As mentioned above, the calibration jig  400  is not limited to any particular size or shape and may be configured so as to be positioned at locations other than a corner of a drawer  105  (FIG.  1 ). For example, the calibration jig  400  may be of cylindrical shape and have a first pin, or dowel, attached at one end of its cylindrical body and a second pin, or dowel, attached at the other end of its cylindrical body. The first pin, or dowel, may be inserted into a hole located on a drawer  105  or at a fixed location relative to the drawer  105 , thereby functioning as a securing member which secures the calibration jig  400  in a fixed location with respect to the drawer  105 . The second pin may serve as an engagement portion of the calibration jig  400  for engaging a specified portion of the robotic arm  109 , such as a suction hole of a vacuum nozzle, for example, in order to establish a home position for the robotic arm  109 . 
     As described above, the invention provides a quick, easy and accurate method and apparatus for calibrating the home position of a robotic arm of an automated placement machine. Additionally, the invention provides a calibration method which is easily repeatable and uniform in results. The invention thus provides an accurate and uniform method and apparatus of calibrating the robotic arm of an automated placement machine such that subsequent motion of the robotic arm will substantially correlate with calculated spatial coordinates corresponding to desired pick-up points on respective components within a parts tray. 
     The invention may be embodied in other specific forms without departing from its spirit or essential characteristics. The described embodiments are to be considered in all respects only as illustrative and not restrictive. The scope of the invention is, therefore, indicated by the appended claims, rather than by the foregoing description. All changes which come within the meaning and range of equivalency of the claims are to be embraced within their scope.