ARRANGEMENT FOR MAPPING COLORS BETWEEN IMAGING SYSTEMS AND METHOD THEREFOR

Abstract: A color mapping method is used in transforming colors between color imaging systems. The method includes using forward transformation profiles that characterize the color imaging systems to generate respective sets of device-independent color values for the color imaging systems. Color conversions are calculated by recursively reducing differences between the respective sets of device-independent color values. Based on these color conversions, a color map is constructed that describes a relationship between the color imaging systems.

Description: ARRANGEMENT FOR MAPPING COLORS BETWEEN IMAGING SYSTEMS AND METHOD THEREFOR Field of the Invention The present invention relates to color imaging. More particularly, the present invention relates to mapping colors between color imaging systems. Background of the Invention Color reproduction processes typically involve using color imaging systems to produce colors on various media. These color imaging systems may be used to duplicate a color image from one medium to another medium, e.g., from one printed copy to another or from a display screen to a printed copy. Color reproduction processes are used in various application environments, for example, color proofing applications. Some color reproduction processes use approaches known as color management systems (CMSs) to characterize various color imaging systems and to transform color data between the color imaging systems. Characterizing color imaging systems typically involves calculating color response functions using color coordinate systems known as color spaces. One commonly-used color space is Commission Internationale de l'Eclairage L'a'b * (CIELAB) space. CMSs attempt to reproduce an original color image on a color imaging system so as to preserve the appearance of colors between the original and the reproduction within the limitations of the color imaging system of the reproduction process. Various CMS approaches have been proposed to achieve accurate color reproduction. Many of these approaches involve producing color samples using an output or display device and measuring the color values of the samples using an input device. Such approaches correlate the output colors with the measured color values. This correlation is performed using, for example, forward and reverse transforms between device-specific color spaces and a device-independent color space. These transformation techniques are often supplemented by interpolation between entries in a multidimensional lookup table. These techniques exhibit inaccurate color conversion between similar devices, potentially resulting in undesirable contamination of colors. Furthermore, accurate color conversion of dark colors has often been particularly difficult because of inadequate processing of black channel data in many applications. CMSs often perform gamut mapping to correlate the range or gamut of colors that can be realized by a device with regions of a color space. Because many devices are incapable of realizing the complete range of colors in a color space, gamut mapping typically involves compressing or scaling regions of the color space. The device can then approximate colors outside its gamut using the compressed regions of the color space. For many CMSs, gamut mapping is potentially inconsistent under certain circumstances, such as when using profiles generated by software from different vendors. In addition, many CMSs exhibit inconsistencies when performing forward and reverse transformations between imaging systems. For example, color shifting often occurs with repeated forward and reverse transformations. Many CMS techniques exhibit other limitations in addition to the lack of accuracy in converting colors. For example, many CMS techniques are relatively inflexible with respect to changes in illumination and observer conditions, gamut mapping, and choice of color space. Certain techniques lack forward compatibility with future color standards. Summary of the Invention According to one embodiment, the present invention is directed to a color mapping method for use in transforming colors between color imaging systems. The color mapping method includes using forward transformation profiles characterizing the color imaging systems to generate respective sets of device- independent color values for the color imaging systems. Color conversions are calculated by iteratively reducing differences between the sets of device-independent color values. This difference reduction is also optionally performed on black channel information to obtain a mapping of black channels between the color imaging systems. A color map describing a relationship between the color imaging systems is constructed as using the predicted color conversions. This method may be performed by a color mapping arrangement or a computer-executable program stored on a data storage medium. According to another embodiment of the present invention, color mapping between source and destination color imaging systems is accomplished by using profiles that characterize the color imaging systems to generate device- independent color values for the source color imaging system and to convert to device-dependent values of the destination color imaging system by performing a color conversion using the profiles. The device-independent color values have a same dimensionality as the corresponding color imaging systems. The color conversion can be used to improve its own accuracy relative to a quality threshold. The color conversion is used to define a color map for transforming colors between the color imaging systems. Another embodiment of the present invention is directed to a color mapping arrangement for use in transforming colors between imaging systems. A computer arrangement uses forward transformation profiles that characterize the color imaging systems to generate respective sets of device-independent color values for the color imaging systems. The computer arrangement also calculates color conversions by recursively reducing differences between the sets of device-independent color values. The computer arrangement uses the color conversions to construct a color map describing a relationship between the color imaging systems using the color conversions. A memory stores the color map. Brief Description of the Drawings FIG. 1 is a block diagram illustrating an example color mapping system, according to an embodiment of the present invention; FIG. 2 is a block diagram illustrating an example arrangement implementing part of the color mapping system of FIG. 1, according to an embodiment of the present invention; FIG. 3 is a block diagram illustrating another example arrangement implementing part of the color mapping system of FIG. 1, according to an embodiment of the present invention; FIG. 4 is a block diagram illustrating yet another example arrangement implementing part of the color mapping system of FIG. 1, according to an embodiment of the present invention; FIG. 5 is a block diagram illustrating still another example arrangement implementing part of the color mapping system of FIG. 1, according to an embodiment of the present invention; and FIG. 6 is a flow chart illustrating an example color mapping method, according to another embodiment of the present invention. Detailed Description of the Various Embodiments The present invention is believed to be applicable to a variety of systems and arrangements that characterize color imaging systems. The invention has been found to be particularly advantageous for transforming colors between different color imaging systems. An appreciation of various aspects of the invention is best gained through a discussion of these particular application examples. According to one aspect of the present invention, a color mapping technique may be applied to a variety of color imaging systems to generate a color map that can be used to transform the color response of one color imaging system, referred to as a source color imaging system, to match the color response of another color imaging system, referred to as a destination color imaging system. The color mapping technique projects color coordinates in the color space used by the source color imaging system into, for example, a device-independent color space. Optimal color coordinates in the color space used by the destination color imaging system are determined that realize a relatively close match between the projections into the device-independent color space of the color coordinates in the color space used by the source color imaging system and the optimal color coordinates. The color mapping technique then generates a color map based on the optimal color coordinates for a number of color coordinates in the color space used by the source color imaging system. FIG. 1 illustrates an example system 100 according to the present invention configured to transform colors between imaging systems. The system 100 includes an appropriately-programmed computer arrangement 102. The computer arrangement 102 may be implemented using any of a variety of conventional resources, for example, a personal computer and CD-ROM based software. Other computer-based designs may be used as well. For example, the computer arrangement 102 may be implemented using a microprocessor that acts with a read- only memory (ROM) into which a software application program is loaded. The software application program may be incorporated, for example, in a color- management software package. A color mapping system 104 includes a color management system 106. The color management system 106 receives a source device profile 108 and a destination device profile 110. These device profiles describe mappings from device- dependent color coordinate systems used by respective color imaging systems to device-independent color coordinate systems. The color management system 106 processes the source device profile 108 and the destination device profile 110 to generate a color map 114. The color map 114 describes a relationship between the color imaging systems used by the source and destination devices. A memory 116 stores the color map 114. Subsequently, the color management system 106 uses the color map 114 to transform a set of source coordinates 118 in a device-dependent source device color space into a set of destination coordinates 120 in a device-dependent destination device color space. FIG. 2 illustrates an example color management system 200 for transforming colors between imaging systems according to the present invention. A source device profile inteφreter 202 receives a source device profile 206. The source device profile 206 is used to map coordinates in the source device color space to a some form of color data, such as spectral or XYZ tristimulus values. For example, if the source device is a halftone color printer, the source device profile 206 may map CMYK color values to a XYZ color space. The source device profile inteφreter 202 inteφrets the source device profile 206 and converts coordinates in the source device color space to a device-independent color space known as a profile connecting space (PCS). The PCS is used for converting the coordinates in the source device color space to the destination device color space or another color appearance model. The PCS may be, for example, the CIELAB color space. A destination device profile inteφreter 208 receives a destination device profile 210. The destination device profile 210 is used to map color coordinates in a destination device color space used by a destination device 212 to some form of color data, such as spectral or XYZ tristimulus values. For example, if the destination device 212 is a cathode ray tube (CRT) monitor, the destination device profile 210 may map color coordinates in a red-green-blue (RGB) color space to XYZ tristimulus values. The destination device profile inteφreter 208 inteφrets the destination device profile 210 and converts color coordinates in the destination device color space to the PCS. The source and destination device profile inteφreters 202 and 208 may be implemented using any of a variety of hardware and software arrangements and are configurable for a variety of application environments. For example, if the source and destination device profiles 206 and 210 are International Color Consortium (ICC) device profiles, the source and destination device profile inteφreters 202 and 208 are optionally configured to include white- and black-point parameters to account for color variations between media and colorants used by different color display devices. The source and destination device profile inteφreters 202 and 208 can also be configured to include pleasing color corrections, such as L * rescaling and aV hue adjustments. Alternatively, the pleasing color corrections can be incoφorated into the color transformer 214. In certain other application environments, the source and destination device profile inteφreters 202 and 208 are further configurable to include, for example, illuminant and observer functions. The device profile inteφreters 202 and 208 can be configured using any of a variety of approaches. For example, plug-in software modules can be used to configure the device profile inteφreters 202 and 208. Using plug-in software modules obviates the need to use new versions of the color management system 200 or of the device profiles 206 and 210 when adding, for example, a newly defined color space, a custom illuminant, such as fluorescent light, or a new gamut mapping technique. These options can be selected, e.g., using a setup window at the operating system level. For example, if the operating system is Apple OS version 7.5, these options can be selected using a control panel interface. If the device characterization is non-spectral, the color management system 200 can use the original spectral data that is saved with the profile to reconstruct the device profiles according to various conditions, such as illuminant functions and color space choices. For example, if one uses an RGB regression to convert scanner RGB values into color space values for a particular combination of color space and illuminant and observer conditions based on a set of spectral data, the regression for a new set of conditions can be generated based on the same spectral data. Accordingly, the device profiles 206 and 210 can be used to calculate color values for a variety of conditions and profile connecting spaces (PCS). A color transformer 214 obtains PCS color coordinates from the source and destination device profile inteφreters 202 and 208. The color transformer 214 uses these color coordinates to develop a color map 216 that expresses a relationship between the color spaces used by the source and destination devices 204 and 212. To generate the color map 216, the color transformer 214 may use any of a variety of gamut mapping techniques. One such technique that has been found to yield particularly accurate results involves reducing the color error between the source and destination devices. The color error is defined, for example, by Euclidean distances in the PCS or by weighted sum of squared errors in a color space that is polar in the chromatic dimensions of the PCS. Defining the color error using weighted sum of squared errors results in a mapping between color imaging systems that accurately maintains colors in reproduced images. By using error reduction techniques with forward profiles, the color transformer 214 avoids generating significant cumulative error in performing multiple forward and reverse transformations between color spaces. The color transformer 214 is implemented using, for example, a software program, and can be configured for a variety of applications. For example, the color transformer 214 can be configured to perform a 100% black point scaling for mapping a printed color image to a monitor display of the image. On the other hand, because newsprint has a relatively weak black point attributable to its ink density and light-transmitting properties, the color transformer 214 can be configured to perform, for example, a 50% black point scaling when mapping a color image printed on newsprint to the Imation Matchprint™ color imaging system. The color transformer 214 is also configurable to use, for example, illuminant and observer functions, which the color transformer 214 provides to the source and destination device profile inteφreters 202 and 208. The color management system 200 receives user preferences from an input 218 to determine how to configure the color transformer 214. After developing the color map 216, the color transformer 214 can be used to transform colors between the source and destination devices 204 and 212. The color transformer 214 receives color coordinates from the source device 204 and transforms them using the color map 216. This transformation produces a set of color coordinates in the destination device color space. The destination color imaging system then reproduces the color on the destination device 212 using these color coordinates. FIG. 3 illustrates an example device profile inteφreter 300 implementing part of the color management system 200 of FIG. 2. The device profile inteφreter 300 uses a device profile 302 to convert device coordinates received at an input 304 to PCS color coordinates, which the device profile inteφreter 300 provides at an output 306. The device profile 302 describes the relationship between the device coordinates and some form of color data. Additionally, the device profile 302 optionally stores the raw spectral data used to construct the device profile 302. The raw spectral data allows the system to subsequently construct more accurate device profiles 302 and permits forward compatibility for changes in anticipation of change in ICC specifications. This updating can be performed automatically. The system can also detect that some component of the device profile 302 is out of date for recalibation. Updates can also be performed periodically based on a schedule. To update the device profile 302, a new profile can be generated using a recalibration procedure. A device profile processor 308 receives the device coordinates from the input 304 and the device profile 302. The device profile 302 may be, for example, an ICC profile. If the device profile 302 exists in this format, the device profile processor receives the forward portion of the profile, i.e., the portion used for converting device coordinates to PCS color coordinates. Alternatively, the device profile 302 can be stored in another format. The device profile processor 308 processes the device coordinates using the device profile 302 and outputs certain data based on the device profile 302. For example, if the device profile 302 is an ICC profile, the device profile processor 308 outputs XYZ tristimulus values for a particular set of observer conditions (e.g., illuminant and observer functions). If the device profile 302 is based on spectral data, the device profile processor 308 outputs spectral data. The device profile processor 308 can be configured for a variety of applications. For example, a user can select between absolute and relative colorimetrics and can configure viewing conditions, such as observer or illuminant functions. A PCS processor 310 receives the data output from the device profile processor 308 and a set of PCS parameters from an input 312. The PCS parameters may include, for example, XYZ tristimulus values for the media white, the illuminant white, and the black point, as well as black-point scaling from an absolute black to the media black. The PCS processor 310 generates the PCS values as a function of the data received from the device profile processor 308 and the PCS parameters. FIG. 4 illustrates an example color transformer 400 implementing part of the color management system 200 of FIG. 2. A device link generator 402 receives as input at least one source profile and one destination profile. While FIG. 4 illustrates the device link generator 402 receiving a source device profile from a source profile inteφreter 404 and a destination device profile from a destination profile inteφreter 406, it should be understood that the device link generator 402 may also receive one or more device profiles that are intermediate between the source and destination device profiles. For example, a device profile characterizing an RGB monitor can be intermediate between a source device profile characterizing an RGB scanner and a destination device profile characterizing a CMYK printer. The source and destination device profiles are forward transforms and optionally include configurable observer conditions and PCS parameters. The device link generator 402 also receives a series of PCS parameters 408 to improve linking of different device types (e.g., CRT monitors and printers). The gamut mapping parameters 410 improve mapping of out of gamut colors between device types. The device link generator 402 generates a color map or device profile link 412 that maps colors between two devices, e.g. , from an RGB device to a CMYK device or between two CMYK devices. The device profile link 412 is, for example, a mathematical expression or a look-up table. The color transformer 400 optionally stores the device profile link 412 in a memory, such as a random access memory (RAM), or saves it as a file for multiple transformations between the source and destination device color spaces. A device link calculator 414 receives source device coordinates from an input 416 and processes them using the device profile link 412. The device link calculator 414 uses a single forward calculation to transform the source device coordinates to a set of destination device coordinates for presentation at an output 418. Because the device link calculator 414 uses a noniterative forward calculation, the transformation process is relatively fast. If the device profile link 412 is a look-up table, the device link calculator 414 optionally uses linear inteφolation to refine the destination device coordinates. The device link calculator 414 can be implemented, e.g., using a conventional multidimensional linear inteφolator. FIG. 5 illustrates an example device link generator 500 that implements part of the color transformer 400 of FIG. 4. The device link generator 500 includes a device link table builder 502 that creates a look-up table to enable rapid inteφolation of destination device coordinates from source device coordinates. It should be understood that if the device profile link is a mathematical expression rather than as a look-up table, an analogous transformation generator replaces the device link table builder 502. Such a transformation builder may, for example, generate coefficients for use in the mathematical expression. To facilitate the discussion, however, the device link generator 500 is assumed to include a device link table builder 502. The device link table builder 502 generates the look-up table by generating a series of source device coordinates as input value entries and determining the optimal destination device coordinates as output values corresponding to the input values. The device link table builder 502 generates a subset of source device coordinates using, for example, a series of nested loops, one loop for each dimension of the source device color coordinate space. To reduce the computational and memory requirements for constructing and storing the look-up table, the look-up table typically contains a relatively small number of entries along each dimension. With a relatively small table, inteφolation is used to convert source coordinates to destination coordinates. The total number of entries in the look-up table can be expressed as D d N s d , where d is the dimensionality of the source device color space, D d is the dimensionality of the destination device color space, and N s is the number of entries along each dimension of the look-up table. For example, a look-up table that is used to transform color coordinates between two CMYK (i.e., four-dimensional) color spaces can contain 4 x l7\ or 334,084 entries. It should be understood that the look-up table need not have the same number of entries along each dimension. If the look-up table contains N k entries along each respective dimension, where k ranges from 1 to d, the total number of d entries in the look-up table can be expressed as D D J ~ J N k . For example, a look-up * = ι table that is used to transform color coordinates between two CMYK color spaces and that is to have fifteen entries along three dimensions and seventeen entries along one dimension contains 4 x 15 x 15 x 15 x 17 , or 229,500 entries. In application environments in which it is desirable to further reduce computational and memory requirements, the device link table builder 502 may select only a subset of the total number of entries in each dimension of the look-up table, perform the method loop calculations using that subset, and perform, for example, a spline inteφolation to fill in the remaining entries of the look-up table. The device link table builder 502 provides PCS parameters and source device coordinates to a source device profile inteφreter 504. The source device profile inteφreter 504 generates source PCS values and provides the source PCS values and the source device coordinates to an error reducer 506. In a specific embodiment, the error reducer 506 is implemented using an error minimization technique. Using the source device coordinates, the error reducer 506 estimates an initial set of destination coordinates that are likely to realize an accurate color match with the source device coordinates. This estimation process may be performed using a relatively simple technique. For example, for estimating destination coordinates in an RGB space corresponding to source coordinates in a CMYK color space, the estimation process may use the following equations: C = l - R M = l - G Y = l - B Alternatively, the source coordinates can be used to estimate the destination coordinates if the source and destination imaging systems use similar color coordinate spaces. The error reducer 506 provides the set of estimated destination device coordinates to a destination device profile inteφreter 508, which also receives the PCS parameters from the device link table builder 502. The destination device profile inteφreter 508 then generates a set of destination PCS values as a function of the estimated destination device coordinates and the PCS parameters and provides the destination PCS values to the error reducer 506. If the error between the destination PCS values and the source PCS values is non-zero, the error reducer 506 uses an error reduction (e.g., an error minimization) technique to reduce the error between the source and destination PCS values. In one embodiment, this is implemented by repeatedly querying the destination device profile inteφreter 508 with selected estimates of destination device coordinates. This process can continue until destination device coordinates are found that satisfy a quality threshold, for example, that yield the minimum error. The error reducer 506 returns these destination device coordinates to the device link table builder 502, which enters them in an appropriate location in the look-up table. The device link table builder 502 then enters the next set of table input entries corresponding to a set of source device color coordinates. For colors within the gamut of the destination device, the error can be reduced using any of a variety of reduction techniques. For example, Powell's method can be used to perform the error reduction or error minimization. For additional information regarding Powell's method, reference may be made to William H. Press et al, Numerical Recipes in C (1992), pp. 309-315, available from Cambridge University Press. Using this approach, the error reducer 506 generally defines an error function having input parameters that can be varied by the error reduction technique. The error reducer 506 then determines the optimal values of the input parameters resulting in a minimal error. To determine the values of destination device coordinates producing the minimum PCS error between the source and destination PCS values, the variable input parameters are the destination device coordinates. Accordingly, in this specific implementation, the error reducer 506 defines the error function as: Error(D) = ΔE(R 5 ,R d (D)) where D is a vector defined by the destination device coordinates, R j is a vector defined by the source PCS values and R d (D) is a vector function producing destination PCS values as a function of the destination coordinate vector D, and ΔE is the Euclidean distance between , and R d (D). The Euclidean distance may be expressed using the following equation: The above equation assumes that the PCS is implemented as the CIELAB color space. It should be understood, however, that other color spaces may be used as a PCS. Using this same approach, a non-zero optimal error indicates that the source device is out of gamut relative to the destination device at that location in the PCS. In such situations, the error reducer 506 optionally uses the destination device coordinates that result in a minimum ΔE value. Alternatively, the error reducer 506 may use these values as an initial estimate and recalculate the optimal destination device coordinates using a new error function that employs weighting factors, polar coordinates in the chromatic plane of the PCS space, or both. The error reducer 506 optionally uses a gamut mapping parameter received from the device link table builder 502 to decide how to map coordinates that are out of gamut relative to the source device. For example, the gamut mapping parameter may specify modes in which each technique is used for obtaining destination device coordinates. One mode, for example, may use lightness, chroma, and hue values L * , C\ and h * instead of LAB values L * , a * , and b\ where: h' = C * • ARCTAN (b * / a") . Another mode uses the above lightness, chroma, and hue values as well as weighting factors: Error(D) = ΔEW(R S , R d (D), W) where the PCS vectors R j , R d (D) are converted to lightness, chroma, and hue values either before or after passing them to the error function. If each of the weighting factors is equal to one, the above-weighted error reduction function ΔEW( )is identical to the standard ΔE( ) error reduction function. It should be noted, however, that weighting factors of W L =3, W c =l, and W h =1.5 yield particularly accurate visual results. These weighting factors produce an error function that gives priority first to lightness, then to hue, then to chroma. These weighting factors can also be provided to the error reducer 506 as gamut mapping parameters by the device link table builder 502. Creating the device profile link via error reduction of the forward transformations of the devices realizes a number of advantages. For example, errors in color conversion are limited to those attributable to quantization and inteφolation. As a result, the cumulative error from repeated forward and reverse transformations between the source and destination device color spaces is substantially reduced. Additionally, the color transformer can select the gamut mapping technique. The color transformer can rely on the forward transform information and realize consistent gamut mapping between device profiles supplied by different vendors. It should be noted that errors due to inteφolation of the device profile link decrease as the number of table entries in each dimension of the look-up table increases toward the maximum number of gray levels. This error also decreases if a one-dimensional tone reproduction table is used to transform the color values. For additional information regarding the use of a one-dimensional tone reproduction table, reference is made to U.S. Patent No. 5,432,906. Creating the device profile link using error reduction also allows transformation between CMYK device spaces that maps the tone response of the source and destination black (K) channels while maintaining an accurate match with the L'aV data. For transformation from an RGB source device to a CMYK destination device, the RGB color coordinates used by the source device lack K channel information. Some conventional color transformation techniques use a process known as gray component replacement (GCR) to define a relationship between K values and CMY values in the reverse transformation (i.e., L'a to CMYK). For example, the reverse transformation may be performed with K initially set to zero. The value of K can then be calculated based on the minimum of the C, M, and Y values. The CMY values can then be recalculated using an algebraic calculation or using the forward model to obtain the closest value of L * a * b * input using the new calculated K value. This process involves a reverse transformation from L'aV color values to CMYK color values with a fixed definition of GCR. This process, however, loses the K channel information or the CMY channel information during the translation between CMYK color spaces because the source color values are transformed to a three-dimensional intermediary color space during conversion to destination CMYK values. To preserve the K channel information, the error reducer 506 determines optimal K values in the destination color space that correspond to the K values in the source device color space, e.g., values between 0 and 255. These values can be created, for example, by generating a series of source K values ranging from minimum to maximum, fixing the source and destination CMY values at 0, and finding destination K values with minimum ΔE error relative to each of the source K values. These source and destination K values can be loaded into a lookup table for quick conversion of source K to destination K values. By using error reduction to determine optimal K values in the destination color space, the device link generator 500 preserves K channel information. This results in improved accuracy of the K channel information when converting colors between CMYK devices. After loading the source and destination K values into a lookup table, when the error reducer 506 receives source L'aV and CMYK values, the error reducer 506 initially maps the source K channel to the destination K channel. The error reduction procedure is then used for varying the destination CMY values to obtain the best match for the respective L'aV values. If ΔE = 0, control returns to the device link table builder 502, which enters the calculated destination CMYK values into the device link table. If ΔE is greater than zero, then the destination CMY values corresponding to the destination K value in question are out of gamut relative to the target L'aV values. This may be, for example, because the source CMY values corresponding to K = 0 result in a color that is out of gamut with the destination device, or because the destination K value in the particular region of destination CMY color space is either too high or too low, i.e., the mixture of K with CMY is such that the resulting color is too dark or too light relative to the targeted L'aV value. To reduce the ΔE error, K can be varied in a controlled way so as to ensure both optimal L'aV color and optimal matching of the K source channel behavior. This can be performed, for example, by alternately fixing the current CMY values while performing error reduction on variable K values and fixing the K value while performing error reduction on variable CMY values. When it is determined that neither varying CMY nor varying K improves the ΔE error, it can be assumed that the optimal CMYK values have been determined to satisfy both the color matching and K channel accuracy criteria. Control then optionally returns to the device link table builder 502. While the above discussion assumes that the error reducer 506 performs the mapping between source and destination K values, it should be understood that the device link table builder 502 can perform the mapping. It should be understood that other approaches can be used to improve the accuracy of the K channel information. For example, the PCS can be implemented as a color space having the same number of dimensions, e.g., four, as CMYK space. Using a PCS having the same dimensionality as the device space prevents the loss of color channel information. In a specific example embodiment, the first three channels of this PCS are the PCS currently used by the system (e.g., LAB, L'aV, or XYZ). The fourth channel indicates a PCS value indicative of the black channel or relating to the black channel (e.g., L * or tristimulus value Y). The process can be performed in a manner similar to that performed by the ICC specification as in, for example, ColorSync 2.1 available from Apple Computer. FIG. 6 illustrates an example color transformation method 600 according to the present invention. At a block 602, selected source device color coordinates are mapped to a PCS. Destination device color coordinates are then estimated as a function of the source device color coordinates, as depicted at a block 604. These estimated destination device color coordinates are then mapped to the PCS at a block 606. At a block 608, an error between the PCS values corresponding to the source and destination device color coordinates is determined. At a decision block 610, the method determines whether the error satisfies a quality criterion, such as error minimization. In certain applications, the quality criterion can be defined as reduction of the error below a threshold value. If the error does not satisfy the quality criterion, flow proceeds to a block 612, at which the estimated destination device color coordinates are adjusted to reduce the error. This process repeats until the error is reduced. After the error is reduced, flow proceeds to a block 614, at which the optimal destination device color coordinates thus obtained are entered into a color map. Next, the method determines whether the color map is filled, as depicted at a decision block 616. If the color map contains empty entries, flow proceeds to a block 618. New source device color coordinates are then selected, and then flow returns to the block 602. This process continues until the color map is filled. The color map can then be stored as, for example, a data file for future reference. The user can specify the desired source, destination, and intermediate profiles and the user preferences used to generate the device profile link. Upon recognizing that a color map has already been developed for a particular combination of these profiles, the system can load the data file. Loading the data file instead of reconstructing the color map saves computation time and other resources. The device profile link can be generated each time the user requests a new combination of device profiles. Alternatively, the user can specify in advance a series of source, intermediate, and destination profiles and allow the system to preprocess these lists of profiles into their respective device profile links and store them. When the user requests that a particular transform be performed on image data using a previously defined combination of source, intermediate, and destination profiles, the system retrieves the associated device profile link. Retrieving the device profile link improves the processing speed. While the above discussion has assumed that the device profile link describes a conversion between two device profiles, it should be understood that the device profile link can be used to describe a conversion between any number of device profiles. For example, N device profiles can be concatenated using a single device profile link. To concatenate the device profiles, the color conversion is performed using the PCS to convert colors between each device profile to be concatenated. Performing error reduction on the forward transforms between the individual device profiles improves the accuracy of the concatenated device profile link between the first and n* device profiles.

Claims: What is claimed is: 1. For use in transforming colors between color imaging systems, a color mapping method comprising: using forward transformation profiles that characterize the color imaging systems to generate respective sets of device-independent color values for the color imaging systems; calculating color conversions by iteratively reducing differences between the sets of device-independent color values; and constructing a color map describing a relationship between the color imaging systems using the color conversions. 2. A color mapping method, according to claim 1 , further comprising iteratively reducing differences between black channel information. 3. A color mapping method, according to claim 1 , further comprising: storing the color map; detecting respective types of color imaging devices between which a color transformation is to be performed; and in response to the detected types, selecting a stored color map. 4. For use in transforming colors between source and destination color imaging systems, a color mapping method comprising: using profiles that characterize the color imaging systems to generate device-independent color values for the source color imaging system, the device- independent color values having a same dimensionality as the source color imaging system; using the profiles to perform a color conversion for converting the device-independent color values to device-dependent values of the destination color imaging system; and using the color conversion to define a color map for transforming colors between the color imaging systems. 5. A color mapping method, according to claim 4, wherein the color conversion is performed at least twice. 6. A color mapping method, according to claim 4, further comprising: using the color conversion to evaluate its accuracy at least once; and revising the color conversion at least once to improve its accuracy. 7. A color mapping method, according to claim 4, wherein the step of using the color conversion further comprises: (a) using the color conversion to improve the accuracy of the color conversion relative to a quality threshold; (b) returning to step (a) until the color conversion satisfies the quality threshold; and (c) using the color conversion resulting from step (b) to define the color map. 8. For use in transforming colors between first and second color imaging systems respectively using first and second color coordinate systems, a color mapping method comprising: (a) generating first device-independent color coordinates as a function of color coordinates in the first color coordinate system; (b) estimating preliminary color coordinates in the second color coordinate system; (c) generating second device-independent color coordinates as a function of the preliminary color coordinates; (d) adjusting the preliminary color coordinates to reduce an error between the first and second device-independent color coordinates; (e) retΛirning to step (a) until the error satisfies a quality threshold; and (f) constructing a color map describing a relationship between the first and second color imaging systems as a function of the adjusted color coordinates. 9. A color mapping method, according to claim 8, further comprising using the color coordinates in the first color coordinate system to estimate the preliminary color coordinates. 10. A color mapping method, according to claim 1 , wherein the transformatin profiles store spectral data that characterize the color imaging systems. 11. A color mapping system configured to perform a method in accordance with any of claims 1-10.

Inventors: EDGE CHRISTOPHER J, FISCHER TIMOTHY A, ROZZI WILLIAM A, EDGE, CHRISTOPHER, J., FISCHER, TIMOTHY, A., ROZZI, WILLIAM, A.
Applicants: MINNESOTA MINING & MFG, MINNESOTA MINING AND MANUFACTURING COMPANY
Application year: 1998
Main classification: H04N1
IPC codes: H04N1