Abstract:
An image processing method for forming a color conversion table to convert plural input colors into output colors, the method including the steps of: extracting color values of plural gray scales wherein in input and output characteristic data, a signal value of one color is variable and signal values of other colors are fixed; creating a model with which difference values between input and output color values are outputted by inputting the extracted color values; and estimating the output color values corresponding to the input color values to create the color conversion table to convert plural input colors into output colors, after shifting the color values by adding or subtracting the difference values which are obtained by inputting the color values into the model with respect to every output color values.

Description:
TECHNICAL FIELD 
       [0001]    The present invention relates to a method and a device for determining a combination of four colors when conducting a color reproduction of a target color by combining four colors of Y (yellow), M (magenta), C (cyan) and K (black), and particularly to those improved in reproducibility by a method of deciding K amount. 
       BACKGROUND TECHNOLOGY 
       [0002]    In cases where full color prints are conducted by printing, thermo-transfer, inkjet, and electrophotography, etc., generally used are four colors of MMCK as outputting colors of the color prints. Conventionally various methods are tried as the method of expressing a color by the use of four colors in calorimetric way. 
         [0003]    For example there is a first method in which predetermined weighting is applied to a K amount of a color solid made by the condition of Y=0, M=0, and C=0 to determine a new K amount, and based on the value of the K amount, new Y, M, C amounts are determined in calorimetric way (Ninth Color Engineering Conference Collected Papers, Flexible URC using L*a*b*, the first report: an idea of new UCR capable to be applied on both character and halftone, by Shinji Kita, Sei Kokatsu, 1992). 
         [0004]    As the second method, there is a method in which a combination of CMYK to reproduce a target color is obtained from among four color solids determined by the conditions of Y=0, M=0, C=0, and K=max (Refer to Unexamined Japanese Patent Application Publication No. HEI2-136848). By this method, total ink amount can be reduced by maximally using K amount as well as ensuring the maximum color gamut which is capable of being reproduced by four color printers. 
         [0005]    As the third method, there is a method in which a combination of CMYK to reproduce a target color is obtained from among four color solids determined by the conditions of Y=max, M=max, C=max, and K=0 (Refer to Japanese Patent Application No. HEI4-266718). In this method K amount is minimally used and the total ink amount increases, though, noises are suppressed by the increase of used colors and a gradation is improved. 
         [0006]    However, according to these various conventional methods, since positions are generated where K amount varies rapidly with in accordance with changes of the target colors, a common problem of generating false contours arises according to variations in printers. Although, an identical target color can be theoretically reproduced by combinations of YMCK with different K amounts, in actual, since there are variations in printers, errors may be generated in combinations of K amounts with large difference. Even in cases where the increasing/decreasing direction of brightness as the example of prescribed color element of the target color (which corresponds to density variation direction of the reproduced color) and the direction of increasing/decreasing direction of K amount are set in agreement with each other, non-smoothness may arise to cause the false contours in an rising area from no-use region to use region of K and in a boundary area where K amount is fixed to be maximum after going through smooth variation area. 
         [0007]    Further, in cases where a combination of a function conversion by LUT (Look Up Table) and interpolation by an interpolation device is utilized for the conversion into image signals (CMYK) for reproducing the image signals (R, G, B, etc.) displayed on a target device such as CRT by a printer as a reproducing device, if the interpolation is executed based on the data of color cubic of both sides of the non-smoothness area, the interpolation error may become large, since between the data are non-smoothly connected with broken lines. 
         [0008]    Further, in the first method, since among the combinations made by the condition of Y=0, M=0, and C=0, the K amount is calculated to reproduce the target color, there exists an area that cannot be inherently used among the maximum color gamut reproducible by a four color printer. Namely, when K amount is in maximum, up to two colors of YMC can be maximally used, but three colors cannot be used at a time. 
         [0009]    Further, with respect to K amount to reproduce the target color, namely with respect to the maximum K amount obtained in the condition of Y=0, M=0, and C=0, if the ratio of K amount is arbitrarily determined, in case of the color near the boundary area of reproducible color gamut when K amount is decreased and replaced by the other three colors, for example in a condition of Y=0, K amount is 90 (max=100), and M, C&gt;60, if K amount is decreased to be a half value 45, the amounts of Y, M, C is needed to be increased for compensation of decreased K amount and the amounts of M, C may exceed 100 to be outside the gamut, this disables the correct color reproduction. 
         [0010]    On the other hand, as described above, in the third method K amount is utilized in minimum in order to increase the gradation, however, in actual there are cases where increased gradation is preferable and where decreased gradation is preferable. In the second or the third methods, by the restriction of utilizing the maximum or the minimum K amounts, there is no flexibility of adjusting the ratio of K amount according to colors in order to obtain a preferable image quality. 
         [0011]    Regarding these method, Patent document 1 and Patent Document 2 described below are proposed. 
         [0012]    Patent Document 1: Examined Japanese Patent Application Publication No. 3273204 (1 st  page, FIG. 1) 
         [0013]    Patent Document 2: Unexamined Japanese Patent Application Publication No. 2001-169131 (1 st  page, FIG. 1) 
       DISCLOSURE OF THE INVENTION 
     Problems to be Solved by the Present Invention 
       [0014]    In the above Patent document 1, the maximum K and the minimum K, which are able to reproduce L*a*b value, are obtained, and between the two values, the final K value is determined. 
         [0015]    In the above Patent Document 2, K values and densities of input K values are preserved as output K values, and residual output CMY are obtained And, in cases where CMY are not zero, the values are compulsorily adjusted to be zero. 
         [0016]    The method of Patent Document 1, is the method of calorimetrically obtaining CMYK values, but has a problem of not having a function of preserving K values. 
         [0017]    Further the method of Patent Document 2, is capable of preserving the K values, however since in cases where CMY are not zero, the values are compulsorily adjusted to be zero, there is a problem of generating a tone-jump (discontinuous gradation). 
         [0018]    The present invention is achieved with the above problems in the conventional technology in view, and an object of the present invention is to realize an image processing method and apparatus for forming a color conversion table which can prevent the generation of tone-jump and suppress the generation of color difference, by executing the processing of preserving K values when determining the combination of CMYK. 
       Means for Solving the Problems 
       [0019]    The present invention to solve the above problems is as follows: 
         [0000]    (1) The invention described in claim 1 is an image processing method for forming a color conversion table to convert plural input colors into output colors, including the steps of: 
         [0020]    extracting color values of plural gray scales wherein in input and output characteristic data, a signal value of one color is variable and signal values of other colors are fixed; 
         [0021]    creating a model with which difference values between input and output color values are outputted by inputting the extracted color values; and 
         [0022]    estimating the output color values corresponding to the input color values to create the color conversion table to convert plural input colors into output colors, after shifting the color values by adding or subtracting the difference values which are obtained by inputting the color values into the model with respect to every output color values. 
         [0000]    (2) The invention described in claim 2 is an image processing method described in (1), wherein outputting of the difference values is executed only when the gray scales vary, and changing of output data is performed by multiplying a ratio of a color value of the gray scale and a result of adding or subtracting the difference value.
 
(3) The invention described in claim 3 is an image processing method described in (1), wherein the plural gray scales are K (black) mono-color gray scales in conditions of C (cyan) M (magenta)=Y (yellow)=0, or any of gray scales of mono-colors including C (cyan) mono-color, M (magenta) mono-color, Y (yellow) mono-color, R (red) mono-color, G (green) mono-color, and B (blue) mono-color.
 
(4) The invention described in claim 4 is an image processing method described in (1), wherein in the model, with respect to the difference value between the input and output color values, the difference value of a gray scale at the last step or the difference values at some of the gray scales in the last step are made to be maximum, and the difference value of a gray scale at the first step or the difference values at some of the gray scales in the first step are made to be zero, while the difference values of a gray scale between the first and last steps are obtained by linearly or nonlinearly interpolating between the maximum value and zero.
 
(5) The invention described in claim 5 is an image processing method described in (1), wherein in the model, when color value of a prescribed gray scale is inputted the maximum difference value is outputted, and according to going apart from a chroma or an achromatic axis in the color value of the prescribed gray scale, the difference value is decreased.
 
(6) The invention described in claim 1 is an image processing device for forming a color conversion table to convert plural input colors into output colors, including:
 
         [0023]    an extraction section which extracts color values of plural gray scales wherein in input and output characteristic data, a signal value of one color is variable and signal values of other colors are fixed; 
         [0024]    a model with which difference values between input and output color values are outputted by inputting the extracted color values; 
         [0025]    an estimation section which estimates the output color values corresponding to the input color values to create the color conversion table, after shifting the color values by adding or subtracting the difference values which are obtained by inputting the color values into the model with respect to every output color values. 
         [0000]    (7) The invention described in claim 7 is an image processing device described in (6), wherein outputting of the difference values is executed only when the gray scales vary, and changing of output data is performed by multiplying a ratio of a color value of the gray scale and a result of adding or subtracting the difference value.
 
(8) The invention described in claim 8 is an image processing device described in (6), wherein the plural gray scales are K (black) mono-color gray scales in conditions of C (cyan)=M (magenta)=Y (yellow)=0, or any of gray scales of mono-colors including C (cyan) mono-color, M (magenta) mono-color, Y (yellow) mono-color, R (red) mono-color, G (green) mono-color, and B (blue) mono-color.
 
(9) The invention described in claim 9 is an image processing device described in (6), wherein in the model, with respect to the difference value between the input and output color values, the difference value of a gray scale at the last step or the difference values at some of the gray scales in the last step are made to be maximum, and the difference value of a gray scale at the first step or the difference values at some of the gray scales in the first step are made to be zero, while the difference values of a gray scale between the first and last steps are obtained by linearly or nonlinearly interpolating between the maximum value and zero.
 
(10) The invention described in claim 10 is an image processing device described in (6), wherein in the model, when color value of a prescribed gray scale is inputted the maximum difference value is outputted, and according to going apart from a chroma or an achromatic axis in the color value of the prescribed gray scale, the difference value is decreased.
 
       EFFECT OF THE INVENTION 
       [0026]    According to the image processing method and the image processing device of the present invention, the effects described below can be obtained. 
         [0000]    (1) According to the invention of the image processing method as described in claim 1, a color conversion table can be created with which a specific color (such as K) is preserved and continuity is not deteriorated.
 
(2) According to the invention of the image processing method as described in claim 2, a color conversion table can be created with which a specific color (such as K) is preserved and continuity is not deteriorated, and by applying the difference value of each gray scale to every data where the difference value is fixed and other signal values vary, the number of times for calculation can be decreased.
 
(3) According to the invention of the image processing method as described in claim 3, by preserving not only K but also C, M, Y, R, G, and B, pure (other color being not mixed) reproduction of black characters and color characters becomes possible.
 
(4) According to the invention of the image processing method as described in claim 4, by setting the degree of preservation depending on the number of gray scale steps to be preserved, the degree of preservation can be controlled, this leads to suppressing the increase of color difference which is generated by the adjustment.
 
(5) According to the invention of the image processing method as described in claim 5, by decreasing the difference value in accordance with drawing apart from the axis of the gray scale to be adjusted, roughness in color reproduction can suppressed.
 
(6) According to the invention of the image processing device as described in claim 6, a color conversion table can be created with which a specific color (such as K) is preserved and continuity is not deteriorated
 
(7) According to the invention of the image processing device as described in claim 7, a color conversion table can be created with which a specific color (such as K) is preserved and continuity is not deteriorated, and by applying the difference value of each gray scale to every data where the difference value is fixed and other signal values vary, the number of times for calculation can be decreased.
 
(8) According to the invention of the image processing device as described in claim 8, by preserving not only K but also C, M, Y, R, G, and B, pure (other color being not mixed) reproduction of black characters and color characters becomes possible.
 
(9) According to the invention of the image processing device as described in claim 9, by setting the degree of preservation depending on the number of gray scale steps to be preserved, the degree of preservation can be controlled, this leads to suppressing the increase of color difference which is generated by the adjustment.
 
         [0027]    (10) According to the invention of the image processing device as described in claim 10, by decreasing the difference value in accordance with drawing apart from the axis of the gray scale to be adjusted, roughness in color reproduction can suppressed. 
     
    
     
       BRIEF DESCRIPTION OF THE DRAWINGS 
         [0028]      FIG. 1  is a flow chart representing an operation of the image processing method and device of the first embodiment of the present invention. 
           [0029]      FIG. 2  is a block diagram representing a structure of the image processing device of the first embodiment of the present invention. 
           [0030]      FIG. 3  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0031]      FIG. 4  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0032]      FIG. 5  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0033]      FIG. 6  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0034]      FIG. 7  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0035]      FIG. 8  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0036]      FIG. 9  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0037]      FIG. 10  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0038]      FIG. 11  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0039]      FIG. 12  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0040]      FIG. 13  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0041]      FIG. 14  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0042]      FIG. 15  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
           [0043]      FIG. 16  is a schematic diagram showing the image processing of the embodiment of the present embodiment. 
       
    
    
     EXPLANATION OF THE NOTATION 
       [0000]    
       
         
           
               100  Image processing device 
               110  Interpolating device 
               120  Color conversion table 
           
         
       
     
       DETAILED DESCRIPTION OF THE PREFERRED EMBODIMENT 
       [0047]    By referring the drawings, the best mode (hereinafter referred as embodiment) for enforcing the present invention will be described below. 
         [0048]    &lt;Outline of Image Processing&gt; 
         [0049]    Here, the embodiment is shown by utilizing the case of creating a 4-dimensional LUT (Look Up Table) of CMYK-&gt;CMYK as a specific example. The device outputting target color signals is referred as “target device”, and the device reproducing the target color is referred as “reproducing device”. 
         [0050]    As a similar LUT creating method, the flow chart of  FIG. 3  showing the method of Patent Document 1 is represented. 
         [0051]    Since the conventional method shown by the flow chart in  FIG. 3  is an example of creating RGB-&gt;CMYK•three-dimensional LUT, the following explanation is made by assuming CMYK as target side signals. 
         [0052]    In this case, if the modeling of the target device (Step S 302  in  FIG. 3 ) is executed similarly to the modeling of the reproducing device (Step S 301  in  FIG. 3 ), CMYK-&gt;CMYK•four-dimensional LUT can be created through the same subsequent flow. 
         [0053]    Here, in the CMYK-&gt;CMYK•four-dimensional LUT, regarding the gray scale input of variable K with C=M=Y=0, it is important that the output values become such that C=M=Y=0 with the same K, or with the K which makes a color value same as the input color value. This is because in the reproduction of black characters inputted with mono-color K, if CMYK values are mixed quality of the black characters will be degraded. 
         [0054]    When CMYK values are not mixed, even if K value differs from the input value, this will not cause a problem. And rather the K value which makes a color value same as the input side color value is regarded to be important. In the conventional method shown by the flow chart in  FIG. 3 , in order to reproduce with C=M=Y=0, and with certain K values, although the most liable way is using maximum black in determining New K, the characteristic diagram of  FIG. 4  can be obtained by plotting input/output color value in condition of C=M=Y=0, with variable K values (hereinafter will be referred to as K mono-color gray scale). 
         [0055]    Even with the same K mono-color gray scale, if the black color material or the paper used in the input/output device varies, the color values differ even with the same value. In this case, in order to reproduce K mono-color gray scale input in colorimetric method, CMY values are surely required. For example, in the case of the gradation input which varies from green through gray (C=M=Y=0, K=128 (in the case of 8 bit)) and to magenta, the CMYK values after conversion become as shown in the characteristic diagram of  FIG. 5 , where the output value at the portion of C=M=Y=0, K=128 (central portion of the horizontal axis of  FIG. 5 ), CMYK values are to some extent mixed in the output value. 
         [0056]    Similar phenomenon arises in the conventional method described in JP2001-169131A. In order to solve this problem, as shown in the flow chart of  FIG. 6 , in conventional method, the processing of compulsorily making CMY values zero (Step S 602  in  FIG. 6 ) in the K mono-color gray scale is adopted after the creation of the CMYK-&gt;CMYK four-dimensional LUT (Step S 601  in  FIG. 6 ). 
         [0057]    By doing this, the reproduction of black characters improves, however the following problem arises. For example, in the case of the gradation input which varies from green through gray (C=M=Y=0, K=128 (in the case of 8 bit)) and to magenta, the CMYK values after conversion become as shown in the characteristic diagram of  FIG. 7 . In this case, although the reproduction at the gray portion is done by (C=M=Y=0), at the peripheral portion there are rapid change and continuity of the characteristic is destroyed to generate tone jump (discontinuous gradation). 
         [0058]    Here, as an embodiment of the present invention, the method of preserving K amount as well as keeping the continuity of gradation will be described referring to the flowchart of  FIG. 1  and the block diagram of  FIG. 2 . 
         [0059]    &lt;General Procedure of the Image Processing&gt; 
         [0060]      FIG. 2  is a block diagram of image processing device  100 . Image processing device  100 , which is inputted with target color signals cmyk from the target device and outputs reproducing signals cmyk to the reproducing device, is configured with interpolating device  110  for interpolating color signals and color conversion table  120  having four-dimensional LUT. 
         [0061]    (1) Modeling of Reproducing Device 
         [0062]    First, by an arbitrary method, modeling of a reproducing device is executed, namely, a function formula which converts CMYK values into tristimulus values X,Y,Z is set (Step S 101  in  FIG. 1 ). For example, the conversion formula between CMYK values to X,Y,Z values may be obtained by creating a color patch where CMYK are quantized as disclosed in JP1990-26388A, actually measuring this color patch, and obtaining tristimulus values X,Y,Z corresponding to the measured color values. The other method such as a modeling by a multiple regression analysis, Neugebauer equation, or Lambert-Beer rule may be utilized to obtain the conversion formula. 
         [0063]    Here, as color conversion table  120  in image processing device  100  of  FIG. 2 , a four-dimensional LUT having such as CMYK-&gt;XYZ values or L*a*b values is created. Color values may be XYZ, L*a*b, Luv, LMS, or RGB. 
         [0064]    (2) Modeling of Target Device 
         [0065]    Similarly, by an arbitrary method, obtained is the relationship between the tristimulus XYZ and the system values of the target device (color separation signal values such as C, M, Y, K), which displays an image with a target color, or outputs target color image signals, then a function formula of conversion is obtained (Step S 102  in  FIG. 1 ). 
         [0066]    For example, 4-D (four dimensional) LUT having a function of CMYK-&gt;XYZ values or L*a*b values is created. 
         [0067]    As the method of obtaining the function formula for conversion, other than the method described above regarding the reproducing device, a modeling can be executed by 3×3 matrix in TV. Then the tristimulus values corresponding to the system values of arbitrary combination of the target device are obtained by utilizing the above mentioned modeling method. This may be further converted into an orthogonal coordinate system correlated to LCH of an adequate color vision model (for example, CIELAB, CIELUV, Hunt, or Nayatani model). 
         [0068]    (3) Sift Processing of K Gray Scale 
         [0069]    Here, an example of making an agreement in K mono-color gray scale will be described, but other gray scales such as C, M, Y gray scales may be also applicable. After extracting the color values of K mono-color gray scale in input/output 4-D LUT which have been created by the above (1) Modeling of Reproducing Device and (2) Modeling of Target Device, the L*a*b values in CMYK-&gt;L*a*b are shifted such that the color values of the output side and the input side conform with each other (Step S 103  in  FIG. 1 ). Detailed explanation will be described bellow at K grayscale shift processing #1, and K grayscale shift processing #2. 
         [0070]    (4) Setting of Target Values 
         [0071]    The steps of processing, through to (9) Judgment of Completion, are repeated for number of times of lattice points number (Step S 104  in  FIG. 1 ). 
         [0072]    Here, the input CMYK value and its color value are treated as a set to proceed to the processing of (5) and after. 
         [0073]    (5) Calculation of Kmax 
         [0074]    From a gamut of colors formed by the four conditions of Y=0, M=0, C=0, and K=max, K amount is determined for calorimetric reproduction of input color values, and this K amount is assumed to be Kmax (Step S 105  in  FIG. 1 ). 
         [0075]    Namely, by the combinations of CMYK for target colors obtained from the combination of CMYK under the four conditions of Y=0, M=0, C=0, and K=max, the K amount (Kmax) is obtained, which is made maximum by the combination expressing the target colors. 
         [0076]    Here, from a color solid formed by the conditions of Y=0, M=0, C=0, and K=max, the combination of CMYK reproducing the target color is calculated. As for this calculation method the method disclosed in “P. Hung, IS &amp; T Final Program and Advance Printing of Paper summaries, P. P. 419-422 (1992)” can be utilized. K amount obtained above is assumed to be Kmax. 
         [0077]    (6) Calculation of Kmin 
         [0078]    From a gamut of colors formed by the four conditions of Y=max, M=max, C=max, and K=0, K amount is determined for colorimetric reproduction of input color values, and this K amount is assumed to be Kmin (Step S 106  in  FIG. 1 ). 
         [0079]    Namely, from a color solid formed by the conditions of Y=max, M max, C=max, and K=0, the combination of CMYK reproducing the target color is calculated. The same method of calculation as the method utilized in the above conditions can be applied. K amount in this case is assumed to be Kmin. 
         [0080]    As for this calculation method the method disclosed in “P. Hung, IS &amp; T Final Program and Advance Printing of Paper summaries, P.P. 419-422 (1992)” can be utilized. K amount obtained above is assumed to be Kmin. 
         [0081]    (7) Calculation of Knew 
         [0082]    Although, in the conventional example, Knew=(1−α)*Kmin+α*Kmax is utilized, in the present proposed method, α is determined in the manner described below such that Kmax is applied on the gray axis and Kmin is applied as going farther from the gray axis (Step S 107  in  FIG. 1 ). Details will be explained in the section “Calculation of Knew #1”. 
         [0083]    (8) Calculation of YMC Quantity 
         [0084]    Based on the above determined Knew, from output CMYK 4-D LUT, a CMY-&gt;XYZ (or L*a*b color values) 3-D LUT is created, which is structured with CMY with fixed K, and by the use of the 3-D LUT, CMY values to reproduce the color values set in the above (4) are determined (Step S 108  in  FIG. 1 ). 
         [0085]    Namely, based on the new K amount determined as described above, a combination of other three colors Y, X, C to reproduce the target color is calculated. 
         [0086]    According to this calculation in the case of 4-D LUT, 3-D LUT is calculated from the 4-D LUT by interpolation with fixing the K value, and after that, the conventional method is utilized. Finding out the solution of the combination is guaranteed by the fact that the target color can be reproduced with the given K amount. As for the three dimensional values, the calculating method described in the above mentioned reference “P. Hung, IS &amp; T Final Program and Advance Printing of Paper summaries, P.P. 419-422 (1992)” can be utilized. The combination of CMYK calculated as above is stored in a memory. 
         [0087]    (9) Judgment of Completion 
         [0088]    Judgment is done whether the steps of processing (4) through (8) are repeated for number of times of lattice points number (Step S 109  in  FIG. 1 ), and if not completed, return to step (4). 
         [0089]    (10) Color Conversion 
         [0090]    By repeating the above processing, the combinations of CMYK, corresponding to every target color data having been sampled, are obtained to create CMYK-&gt;CMYK 4-D LUT (color conversion table  120 ). Namely, based on the data obtained in this way, LUT of the combinations of CMYK are created corresponding to the input image signals from the target device. 
         [0091]    By executing the color conversion with the created CMYK-&gt;CMYK 4-D LUT (color conversion table  120 ) and interpolating device  110 , CMYK images are outputted (Step S 110  in  FIG. 1 ). 
         [0092]    Here, as shown in  FIG. 2 , by combining the color conversion table  120  and the interpolating device  110 , based on the image signals inputted from the target device, the combination data of CMYK in the vicinity of the target color is looked up from the color conversion table  120 , and is interpolated by the interpolating device  110  to determine CMYK (C′M′Y′K′) corresponding to the target color. An example of this method is disclosed such as in JP1990-226867A, which can be utilized. 
         [0093]    By this, K mono-color gray scale in the image becomes capable of being outputted with K mono-color gray scale in the output side as well. The reproduction result of the input values, which changes from green through gray and to magenta, is shown in the characteristic diagram of  FIG. 8 . By using this method a color conversion table can be created, with which K mono-color gray scale can be reproduced by K mono-color gray scale (near the central portion of the horizontal axis in  FIG. 8 ), and the color conversion table having good continuity without a rapid characteristic change. 
         [0094]    &lt;Detailed Procedure of the Image Processing (1)&gt; 
         [0095]    (3-1) K Gray Scale Shift Processing #1 
         [0096]    Here, referring to  FIG. 9 , the detailed procedure of the image processing will be described. 
         [0097]    (3-1-1) Extraction of K Mono-Color Gray Scale of Reproducing Device 
         [0098]    Here, explained as an example is the case where CMYK-&gt;CMYK 4-D LUT has nine steps of 9*9*9*9 lattice for each axis. 
         [0099]    First of all, as an extraction of K mono-color gray scale of reproducing device (Step S 901  in  FIG. 9 ), L*a*b values are extracted in cases where K varies from 0 to 8 with C=M=Y=0. 
         [0100]    Those values are assumed to be outK0_lab, outK1_lab, outK2_lab, outK3_lab, outK4_lab, outK5_lab, outK6_lab, outK7_lab, outK8_lab. 
         [0101]    (3-1-2) Extraction of K Mono-Color Gray Scale of Target Device 
         [0102]    Similarly to the case of reproducing device, extraction of K mono-color gray scale is set as follows (Step S 902  in  FIG. 9 ). 
         [0103]    Those values are assumed to be inK0_lab, inK1_lab, inK2_lab, inK3_lab, inK4_lab, inK5_lab, inK6_lab, inK7_lab, inK8_lab. 
         [0104]    The above extraction of K mono-color gray scale of reproducing device and the extraction of K mono-color gray scale OF target device are shown as a drawing of  FIG. 10 . 
         [0105]    (3-1-3) Calculation of K Gray Scale DIFF 
         [0106]    Here, L values obtained by the extraction of K mono-color gray scale of reproducing device and L values obtained by the extraction of K mono-color gray scale of the target device are represented in a graph of  FIG. 10 . Here, the DIFF in each nine gray scales between reproducing side and target side is calculated (Step S 903  in  FIG. 9 ). 
         [0107]    As shown in  FIG. 10 , L value of each outKx_lab (x is 0-8) is inputted, and determined is between which of inKx_lab the inputted outKx_lab value positions, and inKx_lab values at both sides are determined. 
         [0108]    When the number x at both sides inKx_lab are 1 and 2, the L*a*b values of inK1_lab, inK2_lab, are interpolated by the L values of outKx_lab (x is 0-8). This interpolated value is referred to inKx_lab. 
         [0000]      inKx_lab={(inK2_L−outKx_L)*inK1_lab+(out Kx_L−inK1_L)*inK2_lab)}/(inK2_L−inK1_L), 
         [0000]    The value obtained by subtracting the value of outKx_lab (x is 0-8) from inKx_lab (x is 0-8) is referred to Diff_Kxlab (x is 0-8). By repeating this with varying x from 0 to 8, the shifting amounts for nine gray scales are calculated, which depend on the L values. 
         [0109]    Diff_Kx_lab=inKx_lab−outKx_lab, (x is 0-8), where the shifting value can be varied by adjusting Diff_Kx_lab (x is 0-8) according to the gray scales. By assuming the L in outK0_lab as minL, and L in outK8_lab as maxL, the rate (RATE) is calculated as shown in  FIG. 11(   a ). As shown in  FIG. 11(   a ), if γ=1, at minL the rate becomes 1, and at maxL the rate becomes 0. By multiplying this to the obtained Diff_x_lab (x is 0-8), the shifting amount which depends on L values can be changed. By the setting shown in  FIG. 11(   a ), when K is 100% in K gray scale, the shifting amount becomes to be maximum to completely shift the black characters, and as the black characters become pale the shifting becomes less. Further by varying the γ, the shifting amount for each gray level can be adjusted. Thus, by shifting the black characters and not shifting the other portion, colorimetry can be maintained. Further, smooth adjustment can be achieved. 
         [0110]    In the case of  FIG. 11(   a ), the rate at maxL has been assumed as 0, however the rate other than 0 will do as well. Further, L at outK8_lab has been assumed as maxL, L can be set to be other gray scale as shown in  FIG. 11(   b ). Further, as shown in  FIG. 11(   c ), L can be similarly set for minL. 
         [0111]    (3-1-4) Value Setting 
         [0112]    In the step of value setting, each value of 9*9*9*9 lattice points is sequentially set (Step S 904  in  FIG. 9 ). In this procedure, in the processing from (3-1-5) to (3-1-7), CMYK-&gt;CMYK 4-D LUT of the reproducing device is actually moved. The L*a*b value having been set is assumed to be ln_lab. 
         [0113]    (3-1-5) Calculation of Maximum DIFF 
         [0114]    Based on the magnitude relation between L value of In_lab and L value of Kx_lab (x is 0-8), DIFF at In_lab, namely the maximum DIFF, is obtained through interpolation (Step S 905  in  FIG. 9 ). 
         [0000]      maxDiff_lab={(outK1_L−in_L)*Diff_K2_lab+(in_L−outK2_L)*Diff_K1_lab)}/(outK2_L−outK1_L), 
         [0115]    This is the L value of In_lab, and becomes Maximum maxDiff_lab. 
         [0116]    (3-1-6) Calculation of Rate 
         [0117]    Here, in order to generate maximum shifting amount at K mono-color gray scale, the processing is executed such that the shifting amount is decreased according as a, b values go farther (Step  5906  in  FIG. 9 ). 
         [0118]    Similarly to the case of  FIG. 10 , by inputting L value of In_ab, determining magnitude relation of L values of outKx_ab (x is 0-8), obtained is the center value of a, b which is to be maximally shifted in In_lab. Where, center_ab has “a” value and “b” value. 
         [0000]      center_ab_={(outK1_L−in_L)*outK2_ab+(in_L−outK2_L)*Diff−K1_ab)}/(outK2_L−outK1_L), 
         [0119]    Next, as shown in  FIG. 12 , from a, b value of In_lab and center_ab the distance from the center is obtained. 
         [0000]      dist={(In_a−center_a) 2 +(In_b−center_b) 2 } 1/2 , 
         [0120]    Next, as shown in  FIG. 13 , “rate” is obtained such that it becomes maximum at the center. The rate in  FIG. 13  can be obtained by the Gaussian formula below, but other formula can be also utilized. 
         [0000]      rate=1*exp(−1*π*(dist/100·) 2 ); 
         [0121]    (3-1-7) Addition of DIFF 
         [0122]    By multiplying maxDiff_lab obtained in (3-1-5) with the rate obtained in (3-1-6), and adding the quotient to In_lab, the new L*a*b value can be obtained (Step S  907  in  FIG. 9 ). 
         [0000]      NewL*a*b=In_ab+rate*maxDiff_lab 
         [0123]    (3-1-8) Judgment of Completion 
         [0124]    Here, judgment of completion is executed (Step S 908  in  FIG. 9 ). Namely the judgment is executed whether the calculation for every lattice of CMYK-&gt;L*a*b 4-D LUT has been completed. If not completed, return to Step S 904  to repeat. 
         [0125]    &lt;Detailed Procedure of the Image Processing (2)&gt; 
         [0126]    (3-2) K Gray Scale Shift Processing #2 
         [0127]    Here, referring to  FIG. 14 , the detailed procedure of the image processing will be described. 
         [0128]    (3-2-1) Extraction of K Mono-Color Gray Scale of Reproducing Device 
         [0129]    Here, explained as an example is the case where CMYK-&gt;CMYK 4-D LUT has nine steps of 9*9*9*9 lattice for each axis. 
         [0130]    First of all, as an extraction of K mono-color gray scale of reproducing device (Step S 1401  in  FIG. 14 ), L*a*b values are extracted in cases where K varies from 0 to 8 with C=M==0. 
         [0131]    Those values are assumed to be outK0_lab, outK1_lab, outK2_lab, outK3_lab, outK4_lab, outK5_lab, outK6_lab, outK7_lab, outK8_lab. 
         [0132]    (3-2-2) Extraction of K Mono-Color Gray Scale of Target Device 
         [0133]    Similarly to the case of reproducing device, extraction of K mono-color gray scale is set as follows (Step S 1402  in  FIG. 14 ). 
         [0134]    Those values are assumed to be inK0_lab, inK1_lab, inK2_lab, inK3_lab, inK4_lab, inK5_lab, inK6_lab, inK7 lab, inK8_lab. 
         [0135]    The above extraction of K mono-color gray scale of reproducing device and the extraction of K mono-color gray scale are shown as a drawing of  FIG. 10 . 
         [0136]    (3-2-3) Calculation of K Gray Scale Rate 
         [0137]    Until the step of setting inKx_lab, the procedure is same as the above described Detailed Procedure (1) (Step S 1403  in  FIG. 14 ). 
         [0138]    Next, inKx_lab_ (x=0 to 8) and outKx_lab (x=0 to 8) are converted into XYZ (or LMS etc.). L*a*b may not be converted. 
         [0139]    Next, rate for nine steps are calculated, and the results are referred as Rate_xyz_x (x=0 to 8). Where x varies from 0 to 8. 
         [0000]      Rate_xyz_x=inKx_xyz_/outKx_xyz, (x=0 to 8) 
         [0140]    (3-2-4) Rate Setting 
         [0141]    In this step, rate setting is repeated for number of times corresponding to the number of K mono-color gray scales, in this case repeated nine times (Step S 1404  in  FIG. 14 ). 
         [0142]    In the first time, Rate_xyz, which will be used in the following processing 5-7, is set as Rate_xyz — 0. Next, Rate_xyz — 1, Rate_xyz — 2 are sequentially set. 
         [0143]    (3-2-5) Value Setting 
         [0144]    In the step of value setting, with fixed inputK and varying CMY, setting are executed 9*9*9 times (Step S 1405  in  FIG. 14 ). The addresses of processing the output side CMYK-&gt;L*a*b are sequentially retrieved, and L*a*b values are converted to XYZ and the like similarly to the process of (3-2-3). This is referred as OldXYZ. 
         [0145]    (3-2-6) Processing 
         [0146]    Here, new XYZ values are calculated (Step S 1406  in  FIG. 14 ). 
         [0000]      NewXYZ=OldXYZ*Rate_xyz, 
         [0147]    By executing this processing, the portion of output Side K mono-color gray scale is completely shifted to input side K mono-color gray scale, and other portions are respectively moved with small amounts. Further, NewXYZ is reverted to L*a*b value. 
         [0148]    (3-2-7) Judgment of Completion 
         [0149]    Here, judgment of completion is executed (Step S 1407  in  FIG. 14 ). Namely the judgment is executed whether the processing of 9*9*9 times are executed. If not completed, return to the processing of (3-2-5). 
         [0150]    (3-2-8) Judgment of Completion 
         [0151]    Here, judgment of completion is executed (Step S 1408  in  FIG. 14 ). Namely the judgment is executed whether the processing of every nine gray scales are executed. If not completed, return to the processing of (3-2-4). 
         [0152]    (7-1) Calculation of Knew #1 
         [0153]    Although in conventional method Knew is defined as, Knew=(1−α)*Kmin+α*Kmax, in the method proposed by the present embodiment, α is defined as below so that Kmax is adapted on the object gray axis and Kmin is adapted according as going farther from the gray axis. 
         [0154]    (7-1-1) Value Setting 
         [0155]    lattice points to be calculated are set. This is repeated for 9*9*9*9 times. 
         [0156]    (7-1-2) Calculation Between Black 
         [0157]    Lattice points are illustrated in  FIG. 15 . When lattice points are set in positions as shown in  FIG. 15 , the distance from the gray axis (( 1 ) in  FIG. 15 ) is referred as Chroma. The value of Chroma is normalized to 1.0 in maximum, and 0 at the point of intersection with L axis. In the graph where Chroma is taken in horizontal axis and α is taken in vertical axis and γ value are varied as  FIG. 16 , α is calculated at an intended γ value with the reference of Croma value (1) previously obtained in  FIG. 15 . 
         [0158]    Here, when γ value in  FIG. 16  is varied, the movement of a varies depending to Chroma. By applying these a to the calculation formula of Knew, it is realized that Kmax is used on the gray axis and Kmin is used according as going farther from the gray axis. Since Kmax is used on the gray axis, K is still preserved, and since K is decreased as going farther from the gray axis, roughness of the print image can be suppressed in flesh color reproduction and the like. Further the amount of K to be used can be controlled according to the γ value. 
       Other Embodiment 
       [0159]    Since the numeric values used for the explanation of each embodiment are examples for conducting the specific explanations, the embodiments of the present invention are not restricted by these numeric values.