Abstract:
There is provided a method, system, and apparatus of reproducing a digital image on a paper including the steps of the user selecting 8 to 16 inks to form an ink set, calibrating the ink set to create an ink set profile, using the ink set profile to calculate hue-based and/or shade-based look-up tables (LUTs) that directly correlate the inks with the color space coordinates (e.g., RGB values) of the pixels of the digital image. By directly correlating the inks and the color space coordinates using hue and shade, the present method faithfully reproduces the digital image. The method may be practiced using a system and/or apparatus that provides means for performing the calibration of the ink set and direct correlation of the color space coordinates. The printed substrate has a first plurality of dots having 8 to 16 differently colored inks per dot and a second plurality of dots having one color per dot. The 8 to 16 differently colored inks are user-defined and avoid certain conventional art directed ink jet ink-set colors, particularly including gray. Significantly, the method, system, and apparatus produce a printed paper having a high level of detail, depth of color, and broad range of shading. The printed paper substrate also has a combination of dye types that heretofore were considered incompatible. One preferred embodiment has 12 inks, which includes or provides 7 true colors, 4 pseudo-colors (i.e., a mix of two or more true colors), and black, and wherein 8 colors are fiber-reactive inks and 4 colors are acid inks.

Description:
PRIOR RELATED APPLICATIONS 
     This application is a continuation-in-part of U.S. Ser. No. 10/011,361, filed Dec. 3, 2001 now U.S. Pat. No. 6,588,879. 
    
    
     BACKGROUND OF THE INVENTION 
     1. Field of the Invention 
     This invention generally relates to methods of ink printing and, more particularly, to multicolor ink printing on paper and paper-like substrates. This invention also relates to systems and apparatuses for multicolor ink jet printing on papers, as well as multicolor ink printed papers, per se. 
     2. Description of the Prior Art 
     As defined herein, the term “color space” is a mathematical definition for colors. Well known color spaces include CIE lab, CIE xyz, CIE luv, CIE xyY, CIE uvY, Cyan-Magenta-Yellow-Black (CMYK), and Red-Green-Blue (RGB). For example, the RGB triplet divides each color into its red, green, and blue components and expresses those components as a value between 0 (minimum) and 255 (maximum), such as (50, 40, 220) for a blue-dominant color. Each component of the RGB triplet may also be expressed as the quotient of the given value divided by the maximum value, such as (0.196, 0.157, 0.863) for the blue-dominant color previously defined as (50, 40, 220). 
     Overall changes in the printing and imaging industries compound the traditional problems, especially as digital technology becomes the norm rather than the exception. For example, digital images are routinely coded in RGB for display on a computer monitor. However, printers typically use CMYK, and textile colorists traditionally use CIE lab. Thus, an image initially in RGB will be routinely converted into a different color space before being printed. However, data can easily be lost or corrupted in the conversion to a different color space. Software correction may be applied in an attempt to recover lost or corrupted data, but such software correction may actually increase the errors. 
     Many prior art methods for printing attempt to overcome the disadvantages inherent in multiple color space transformations, such as U.S. Pat. No. 5,450,217 to Eschbach et al. and U.S. Pat. No. 5,953,499 to Narendranath et al. These patents rely on artificial blending or filtering color space data to “enhance” or “improve” the subsequently rendered image. Yet, clearly, such forced techniques are not ideal. 
     Improvements in hardware and software make it possible to use more than three dyes to make a color. However, current systems and method usually do not fully utilize these improvements. For example, gray scales are usually made with a dithered black, a dithered gray, or a combination of both dithered black and gray. Yet, dithered blacks and grays generally do not reproduce deep and true blacks and grays. It has been found that, by using multiple overlapping sets of complementary colors, a composite shading scale can be built that provides a robust shading scale without visible dithering patterns and also allows for subtle casts to color renderings. 
     The ink jet printing art is generally directed to printing with sets of 4 to 8 differently colored inks. This direction of the art is discussed in U.S. Pat. No. 5,833,743 to Elwakil. 
     There is a need in the ink jet printing art for a system that provides both a broad range of shading and vivid, bright, and true colors, wherein complex digital images can be faithfully printed. 
     SUMMARY OF THE INVENTION 
     In light of the foregoing, it is an object of the present invention to provide a method for printing an image directly from a digital image with specific user-defined inks. 
     It is also an object of the present invention to provide such a method for printing an image, wherein the user selects 8 to 16 inks to create a user-defined high-multiplicity ink set. The user-defined ink-set is linearized with user-defined calibration curves. 
     It is a further object of the present invention to provide such a method for printing an image, wherein the pixels of the digital image are directly correlated with the ink set using hue and shade values, without transformation into conventional color spaces, such as CIE lab, CIE xyz, CIE luv, CIE xyY, CIE uvY, or CMYK. 
     In addition, it is an object of the present invention to provide a system for selecting inks for printing, in which a user-defined ink set profile is used to correlate an amount of inks with hue and shade values derived directly from the pixels of a digital image defined in the RGB color space. 
     Moreover, it is an object of the present invention to provide an apparatus for paper printing having a plurality of inks calibrated as a user-defined ink profile that prints an amount of selected inks on a paper based on hue and shade values from the pixels of a digital image. 
     Furthermore, it is an object of the present invention to provide a printed paper having a high dpi (dots per inch) count, and a broad range of color density and shading. It is a further object of the present invention to provide a printed paper or like printed substrate with different types of dyes (e.g., acid and fiber-reactive), and yet achieve faithful reproduction of complex pictorials and images. 
     These and other objects of the present invention are preferably achieved by a method of reproducing a digital image on a paper including the steps of the user selecting 8 to 16 inks to form an ink set, calibrating the ink set to create an ink set profile, using the ink set profile to calculate hue-based and/or shade-based look-up tables (LUTs) that directly correlate the inks with the color space coordinates (e.g., RGB values) of the pixels of the digital image. By directly correlating the inks and the color space coordinates using hue and shade, the present method faithfully reproduces the digital image. The method may be practiced using a system and/or apparatus that provides means for performing the calibration of the ink set and direct correlation of the color space coordinates. The printed substrate has a first plurality of dots having 8 to 16 differently colored inks per dot and a second plurality of dots having one color per dot. The 8 to 16 differently colored inks are user-defined and avoid certain conventional art directed ink jet ink-set colors, particularly including gray. Significantly, the method, system, and apparatus produce a printed paper having a high level of detail, depth of color, and broad range of shading. The printed paper substrate also has a combination of dye types that heretofore were considered incompatible. One preferred embodiment has 12 inks, which includes or provides 7 true colors, 4 pseudo-colors (i.e., a mix of two or more true colors), and black, and wherein 8 colors are fiber-reactive inks and 4 colors are acid inks. 
     In one preferred embodiment, the printable substrate is a fiber containing substrate, and most preferably a high cotton content paper. 
    
    
     BRIEF DESCRIPTION OF THE DRAWINGS 
     FIG. 1 is a graph of hue and saturation curves for 7 differently colored inks of a 12-ink ink-set according to the present invention, wherein V is violet, B is blue, T is turquoise, R is red, S is scarlet, GY is golden yellow, and Y is yellow; 
     FIG. 2 is a graph of hue and saturation curves for pseudo-colors of the ink-set of FIG. 1, wherein V is violet, B is blue, and LB is light blue; 
     FIG. 3 is a graph of hue and saturation curves for pseudo-colors of the ink-set of FIG. 1, wherein T is turquoise, and MT is medium turquoise; 
     FIG. 4 is a graph of hue and saturation curves for pseudo-colors of the ink-set of FIG. 1, wherein R is red, MR is medium red, and LM is light magenta; 
     FIG. 5 is a graph of gray curves for 9 differently colored inks of the ink-set of FIG. 1, wherein K is black, V is violet, MT is medium turquoise, LB is light blue, MR is medium red, LM is light magenta, S is scarlet, GY is golden yellow, and Y is yellow; and 
     FIG. 6 is a profile of absorption curves for the 12 differently colored inks in the 12-ink ink-set of FIG. 1, wherein K is black, V is violet, B is blue, T is turquoise, MT is medium turquoise, LB is light blue, R is red, MR is medium red, LM is light magenta, S is scarlet, GY is golden yellow, and Y is yellow. 
    
    
     DESCRIPTION OF THE INVENTION 
     The present invention provides a method for color printing on a paper or other fiber containing printable substrates. The method of the present invention includes the steps of: (1) providing a digital image having a plurality of pixels in the RGB color space; (2) selecting a plurality of inks correlated to the digital image to create a user-defined ink set; (3) creating an ink set profile from user-defined calibration (e.g., absorption) curves for the user-defined ink-set; (4) defining a chromatic value and a shade value for each of the plurality of pixels; (5) determining an amount of inks corresponding to the chromatic and shade values as a function of the ink set profile; and (6) printing the selected amount of inks as a pixel-corresponding ink jet dot portion on the paper or other fiber containing printable substrate. In the present invention, there is no transformation into or through CIE lab, CIE xyz, CIE luv, CIE xyY, CIE uvY, or CMYK. 
     The present invention is also a system for selecting an amount of inks to print on a paper or other printable substrate. The system includes: (1) a multi-color digital image having a plurality of pixels, the plurality of pixels each having a respective set of color space coordinates; (2) a plurality of inks correlated to the multi-color digital image forming a user-defined ink set; (3) an ink set profile based on user-defined calibration (e.g., absorption) curves for the plurality of inks on a user-selected substrate; (4) means for determining a chromatic value and a shade value for a selected pixel from its respective set of color space coordinates; (5) means for selecting an amount of inks from the ink set based on the chromatic value; and (6) means for selecting an amount of inks from the ink set based on the shade value. 
     In addition, the present invention provides an apparatus for printing on a printable substrate. The apparatus includes: (1) a plurality of user-selected inks forming a user-defined ink set; (2) an ink set profile based on user-defined calibration (e.g., absorption) curves for the plurality of inks on a user-selected substrate; (3) means for determining a chromatic value and a shade value for a pixel having a set of color space coordinates by correlating the color space coordinates to the ink set profile; (4) means for selecting a first amount of inks from the ink set based on the chromatic value; (5) means for selecting a second amount of inks from the ink set based on the shade value; and (6) means for printing the first and second amounts of inks on the substrate. 
     A preliminary step in the method, apparatus, and system of the present invention is selecting a digital image for printing. The method, apparatus, and system of the present invention are intended to reproduce elaborate digital images with both true, vivid colors and a broad range of complex shading. However, the method, apparatus, and system can reproduce any digital image. Preferably, the method, apparatus, and system of the present invention use 8-bit or 24-bit digital images defined in the RGB colorspace. It is noted that no color intensity is determined for 8-bit (indexed color or 256 color) images. 
     The method, apparatus, and system of the present invention may be used to print digital images on any type of printable substrate. Paper and other fiber containing printable substrates are preferred. Fibrous substrate such as woven, knitted, and/or non-woven fabrics may also be used. The fibers in the fabrics may be natural and/or synthetic. One preferred substrate is a high linen fiber content paper. 
     After selecting the digital image for printing and the fabric upon which the image will be reproduced, an ink-set is selected by the user. The method, apparatus, and system of the present invention contain 8 to 16 differently colored inks. Sixteen is believed to be both the optimal number and the practical maximum number of differently colored inks for use in an ink-set according to the present invention. 
     In one preferred aspect, the user-selected ink-set is selected based on the colors in the user-selected digital image to be printed. For example, if the selected digital image contains an abundance of a certain color, that color can be selected as an ink in the ink-set. As another example, if the selected digital image contains a certain color that is known to be difficult to accurately print, that color can be selected as an ink in the ink-set. 
     In another preferred aspect, the ink-set is selected from one or more predetermined or pre-optimized ink-sets that were found to provide exceptional results for numerous divergently complex digital images. In particular, it has been surprisingly discovered that many divergent types of complex digital images can be accurately and faithfully printed on paper and paper-like substrates using a preferred pre-optimized 12-ink ink-set containing: black, violet, blue, turquoise, cyan, light blue, red, medium red, light magenta, scarlet, golden yellow, and yellow. Furthermore, the foregoing optimized ink-set does not contain green, orange, or gray. It was surprisingly discovered that a full gray table can be produced using black and the eleven chromatic inks listed in the foregoing ink-set. It was also surprisingly found that 8 to 16 individual drops can be used to accurately and faithfully print an integrated dot portion corresponding to a single pixel of a complex image. 
     It was also surprisingly discovered that the method, apparatus, and system of the present invention can concurrently employ combinations of different types of dyes, such as acid, basic, fiber-reactive, and direct dyes, regardless of the selected substrate. While current practice advises that silk is the only fabric that can be dyed with both reactive and acid dyes, the present invention concurrently uses both fiber-reactive and acid dyes on other types of fabrics, as well as on paper and other fiber containing substrates, with improved printed image fidelity. 
     The following table summarize a preferred 12-ink ink-set for use in the present invention. The acid dyes used in this preferred ink-set are manufactured by DTP-Link (DTP), 27-4 Dangjeong-dong, Gunpo-si, Geonggi-do, Korea and are currently sold under the color-names and vendor numbers listed in the following table. Except as indicated, the fiber-reactive dyes in this preferred ink-set are manufactured by MacDermid Colorspan, Inc. (MCS), 6900 Shady Oak Road, Eden Prairie, Minn., and are currently sold under the color-names and vendor numbers listed in the following table. Ink #9 (light magenta) is a mixture including Procion® Scarlet (Lot 1050-142) in an amount of about 0.25% by total weight of the mixture and Cibacron Red MI-B in an amount of about 0.25% by total weight of the mixture. Procion® Scarlet (Lot 1050-142) is manufactured by BASF, 4330 Chesapeake Drive, Charlotte, N.C. Cibacron Red MI-B is manufactured by Ciba Specialty Chemical Corp., 4050 Premier Drive, High Point, N.C. 
     
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 1 
               
             
             
               
                   
               
               
                 A Preferred Ink-set 
               
             
          
           
               
                   
                 Color 
                 Type 
                 Vendor 
                 Number 
               
               
                   
                   
               
             
          
           
               
                 1 
                 black 
                 acid 
                 dtp 
                 0900758-001 
               
               
                 2 
                 violet 
                 acid 
                 dtp 
                 0900758-003 
               
               
                 3 
                 blue 
                 fiber reactive 
                 mcs 
                 0900642-003 
               
               
                 4 
                 turquoise 
                 fiber reactive 
                 mcs 
                 0900642-004 
               
               
                 5 
                 med. turquoise 
                 fiber reactive 
                 mcs 
                 0900642-005 
               
               
                 6 
                 light blue 
                 acid 
                 dtp 
                 0900758-006 
               
               
                 7 
                 red 
                 fiber reactive 
                 mcs 
                 0900642-007 
               
               
                 8 
                 med. red 
                 fiber reactive 
                 mcs 
                 0900642-008 
               
               
                 9 
                 light magenta 
                 fiber reactive 
               
               
                   
                 0.25% Procion Scarlet 
                   
                 BASF 
                 TX-4661 
               
               
                   
                 plus 
               
               
                   
                 0.25% Cibacron Red MI-B 
                   
                 Ciba 
                 1790359WB 
               
               
                 10 
                 scarlet 
                 fiber reactive 
                 mcs 
                 0900642-009 
               
               
                 11 
                 golden yellow (50%) 
                 fiber reactive 
                 mcs 
                 0900642-011 
               
               
                 12 
                 yellow 
                 acid 
                 dtp 
                 0900758-012 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 2 
               
             
             
               
                   
               
               
                 Approximate RGB Values for the Preferred Ink-Set of Table 1 
               
             
          
           
               
                   
                 Color 
                 R 
                 G 
                 B 
               
               
                   
                   
               
             
          
           
               
                 1 
                 black 
                 28 
                 28 
                 28 
               
               
                 2 
                 violet 
                 114 
                 58 
                 225 
               
               
                 3 
                 blue 
                 44 
                 44 
                 255 
               
               
                 4 
                 turquoise 
                 43 
                 202 
                 255 
               
               
                 5 
                 med. turquoise 
                 85 
                 237 
                 255 
               
               
                 6 
                 light blue 
                 171 
                 238 
                 255 
               
               
                 7 
                 red 
                 255 
                 0 
                 185 
               
               
                 8 
                 med. red 
                 255 
                 155 
                 247 
               
               
                 9 
                 light magenta 
                 255 
                 183 
                 255 
               
               
                   
                 0.25% Procion Scarlet 
               
               
                   
                 plus 
               
               
                   
                 0.25% Cibacron Red MI-B 
               
               
                 10 
                 scarlet 
                 255 
                 34 
                 34 
               
               
                 11 
                 golden yellow (50%) 
                 255 
                 128 
                 29 
               
               
                 12 
                 yellow 
                 255 
                 221 
                 27 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 3 
               
             
             
               
                   
               
               
                 Approximate HSV Values for the Preferred Ink-Set of Table 1 
               
             
          
           
               
                   
                 Color 
                 H 
                 S (%) 
                 V (%) 
               
               
                   
                   
               
             
          
           
               
                 1 
                 black 
                 0 
                 0 
                 11 
               
               
                 2 
                 violet 
                 257.04 
                 77.3 
                 100 
               
               
                 3 
                 blue 
                 240 
                 82.7 
                 100 
               
               
                 4 
                 turquoise 
                 195 
                 83.1 
                 100 
               
               
                 5 
                 med. turquoise 
                 186.36 
                 66.7 
                 100 
               
               
                 6 
                 light blue 
                 192.12 
                 32.9 
                 100 
               
               
                 7 
                 red 
                 316.5 
                 100 
                 100 
               
               
                 8 
                 med. red 
                 304.8 
                 39.2 
                 100 
               
               
                 9 
                 light magenta 
                 300 
                 28.2 
                 100 
               
               
                   
                 0.25% Procion Scarlet 
               
               
                   
                 plus 
               
               
                   
                 0.25% Cibacron Red MI-B 
               
               
                 10 
                 scarlet 
                 0 
                 86.7 
                 100 
               
               
                 11 
                 golden yellow (50%) 
                 26.28 
                 86.6 
                 100 
               
               
                 12 
                 yellow 
                 51.06 
                 89.4 
                 100 
               
               
                   
               
             
          
         
       
     
     In Table 3, hue (H) is a value from 0 to 360, saturation (S) is a value from 0% to 100%, and value (V) is also a value from 0% to 100%. 
     One preferred 16-ink ink-set includes the 12 differently colored inks discussed above with the addition of Cibacron® Yellow P-6GS, Cibacron® Red P-B, Cibacron® Red P-6B (more blue component compared to Cibacron® Red P-B), and Cibacron® Navy P-2R-01. These additional four inks are fiber reactive inks currently sold under the aforementioned trademarks by Ciba Specialty Chemical Corp., 4050 Premier Drive, High Point, N.C. Another preferred 16-ink ink-set includes the 12 differently colored inks discussed above and 4 additional acid dyes: Morjet® Flavine 8G, Morjet® Navy, and Morjet® Red 2B, which are currently sold by Morlot Color and Chemical Co., 111 Ethel Avenue, Hawthorne, N.J., as well as Acid Light Blue 532 (0900758006) currently sold by DTP. 
     Instead of using a larger selection of different hues, it has been unexpectedly discovered that the ink-set for the present invention preferably includes 4 to 6 inks having a B component of about 255 (or about 100%) when defined in the RGB color space, and 4 to 6 inks having an R component of about 255 when defined in the RGB color space. Thus, the preferred 12 or more inks will have 4 to 6 inks that would be described as shades of blue or violet, and 4 to 6 inks that would be described as shades of red or magenta (magenta has both R and B component of about 100%). The preferred ink-set of the present invention does not include an ink that has a G component of about 255 or that would be described as a shade of green. 
     The ink-set calibrations (e.g., grayscale, hue, and saturation) described hereinafter are preferably automated and/or computer assisted. Nonetheless, the calibrations are usually selected, modified, or corrected before the final printing, since the human eye must be the ultimate arbiter of the quality and fidelity of the printed image compared to the user-selected digital image. 
     User-selected calibration curves for use in the present invention include gamma, linear, bias, gain, ease, Kubelka-Monk absorption, and combinations thereof. Significantly, ink profiles for use in the present invention are preferably calibrated using an ease equation or a modified Kubelka-Monk absorption equation. 
     Ease equations are used in animation to make motion acceleration look smooth. Surprisingly, it has been discovered by the present inventors that ease equations may be used to smoothly blend neighboring colors. An ease equation takes an initial curve and returns a smoothed curve that is flat on the top and bottom. For the present invention, the initial curve is the hue line and x is a value on the hue line. The smoothed curve is the calculated color density and y is a value on the calculated color density curve. First, x 0  is compared against a maximum value z max . and a minimum value Z min. . If x 0  is equal to or greater than Z max . then y equals z max. , and if x 0  is equal to or less than z min . then y equals z min. . For portions of the initial curve in which x 0  is greater than z min . and less than z max. , the initial curve is smoothed as a function of its slope. 
     The Kubelka-Munk absorption equation is commonly used for calibrating absorption curves. However, the present invention directly uses RGB values rather than the traditional x,y,z values. The prior art does not utilize such modifications of the Kubelka-Munk absorption equation. The present invention solves for R as well as k/s. 
     Furthermore, each calibrated curve has an “in-portion” going from an initial value y i  to a peak value y p , and an “out-portion” going from peak value y p  to a final value y f , which may be equal to or different from the initial value y i . Thus, each complete calibrated curve is a combination of two partial curves. The partial curves may have the same or different functions. For example, a complete calibrated hue and saturation curve may have an in-portion that is a function of an ease equation, and an out-portion that is a function of the modified Kulbelka-Monk absorption equation discussed above. Moreover, the partial curves may have the same or different parameters that define the actual shape of the partial curves. For example, a complete calibrated hue and saturation curve may have an in-portion that has an overall parabolic shape, and an out-portion that has an overall logarithmic shape. 
     In light of the foregoing and once the ink-set is chosen, the grayscale of each ink in the ink-set should be calibrated or linearized from 0% ink saturation (the ground color) to full or 100% saturation. Calibration is often necessary because ink printed on a fibrous substrate; such as fiber containing paper and fabric has a tendency to proceed very quickly from a perceived 0% saturation to a perceived 100% saturation. In fact, when a grayscale band is printed without calibration, 90% or more of that grayscale band is usually perceived as being 100% saturated. However, for accurate printing, a grayscale band must proceed smoothly from a perceived 0% saturation to a perceived 100% saturation, where only about 1% of that grayscale band is 100% saturated. 
     Calibration of the grayscales is preferably done by: (1) printing a band of each dye on a substrate (generally the user-selected paper, as discussed above) beginning at 0% ink saturation and ending at 100% ink saturation, (2) optically scanning the resulting bands to measure the absorption characteristics of each dye on the user-selected paper, and (3) determining calibrated (i.e., smooth) grayscales as a function of the measured absorption characteristics. The equation used to determine calibrated grayscales from measured absorption characteristics can be gamma, linear, bias, Kubelka-Monk absorption, or combinations thereof, as discussed above. 
     Pursuant to the present invention, look-up tables (LUTs) are created for hue and saturation, grayscale, and optionally one or more pseudo-colors. The LUTs directly transform the RGB triplet of a pixel into hue and shade values, without employing transformations through the traditional CIE lab, CIE xyz, CIE luv, CIE xyY, CIE uvY, and CMYK color spaces. It is believed that this direct transformation from the RGB color space to a hue-based color space minimizes possible errors and/or miscalculation of the original RGB values. Thus, the present method, apparatus, and system achieve high fidelity of the printed image on the fibrous substrate. The printed image is remarkably comparable to the original user-selected digital image. 
     The hue value of a given RGB triplet is preferably determined using linear interpolation between the two largest values of the RGB triplet for the pixel. The saturation value is preferably determined using the maximum value of the RGB triplet. The gray component is preferably determined by the minimum value of RGB triplet. 
     A first LUT takes the RGB triplet of a pixel and determines its hue value and its color value or saturation. An optional pseudo-color LUT may be used to determine the hue value and saturation of the pixel based on a pseudo-color blend of different strengths of the same dye (e.g., red and medium red, or turquoise and medium turquoise). A second LUT takes the RGB triplet of the same pixel and determines the gray scale value thereof. A third LUT linearizes the results for the first and second LUTs based on the light absorption characteristics of a specific paper or other fiber content substrate. 
     Once the hue, saturation, and gray values of the pixel have been determined, these values are used to select the specific inks of the ink-set that are used for the final printing of the pixel. The chromatic component (hue and saturation) is preferably constructed using hue-line neighboring inks. The gray component is preferably constructed using hue-line complementary colored inks to make a smooth achromatic shading scale. 
     For speed and consistency, the steps of calibration, LUT creation, and RGB to hue-based color space transformation are preferably performed by a computer program, as known by one skilled in the art. The computer program allows a user to specify the ink-set and the calibration or profiles of each ink in the specified ink-set. The program employed in this Example is the L12 program, Supersample Corporation, 119 West 23 rd  Street, New York, N.Y., 10011. 
     The apparatus of the present invention preferably includes the L12 software, a printer driver, and a commercial ink-jet printer. The computer program cooperates with a raster image processor (RIP) or printer driver that selects the inks from the ink-set for the final printing, as known by one skilled in the art. A preferred RIP for use in the present invention is sold by Dr. Wirth Software, GmbH, Frankfurt, Germany, through its United States subsidiary DP Innovations, Inc., Spartanburg, S.C., under the trademark Proofmaster. 
     The printer driver controls an ink jet printer that prints the user-selected inks onto the user-selected fabric. An ink jet printer for use in the present invention will have 8 to 16 slots for receiving at least 8 to 16 differently colored inks. Unlike the prior art, in which 12 slots were provided, but only up to 8 differently colored inks were actually used, the present invention provides that each of the 12 slots will have a differently colored ink therein. Several types of ink jet printers are useful for the present invention including: (1) thermal jet printers, which deliver an ink through an ink nozzle to a substrate by pressure created from boiling or “bubbling” the ink, (2) pulse jet printers, which deliver an ink through an ink nozzle to a substrate by vacuum pressure created from applying an electric current to a piezoelectric element within the ink nozzle, and (3) electric charge control printers, which particulate an ink by vibrating an ink nozzle using an ultrasonic wave and direct the ink particle using a electric field. Ink jet printers for use in the present invention include thermal ink jet printers sold by MacDermid Colorspan Corporation, Eden Prairie, Minn., under the trademarks Displaymaker Series XII and Displaymaker Fabrijet XII. 
     The present invention is directed to a method, system, and apparatus for printing a digital image on a printable paper or paper-like substrate. Accordingly, the present invention may be used for printing on any printable substrate that may be considered paper or paper-like, i.e., a felted sheet of fibers laid down from a water suspension. Suitable printable papers and fibrous substrates for use in the present invention are disclosed in U.S. Pat. No. 4,512,849 to Brandon, et al., U.S. Pat. No. 5,223,095 to Kinsley, Jr., U.S. Pat. No. 5,985,424 to De Mutte, et al., and U.S. Pat. No. 6,332,953 to Singh, et al. Papers having cotton and/or linen content that is relatively high (i.e., about 85% to 100%) are preferred. One preferred printable paper is 100% cotton, acid-free, 140 lb., cold press paper. This preferred printable paper, as well as other preferred printable papers are available from Arches France, and sold under the registered trademark Arches, e.g., Arches® Cover, Arches® Platen, Arches® BFK Rives®, and Arches® Rives® Heavyweight. 
     After the substrate is printed, numerous post-printing steps may be followed. For example, the process of the present invention may include a fixation step. The fixation step may include any known method for fixing ink, such as steam fixing, heat fixing, cold fixing, and chemical fixing (e.g., acid or alkali). Such post-printing fixing may be done on paper, as well as fabric. 
     The method, system, and apparatus of the present invention produce an ink jet printed substrate. The ink jet printed image on the substrate includes a plurality of deposited integrated ink jet drop portions. Each integrated ink jet drop portion is combined from or formed of 1 to 16 individual ink jet drops selected from 8 to 16 differently colored inks. In addition, the ink jet printed image includes a plurality of pixel-correlated integrated ink jet drop portions wherein each drop portion has 8 to 16 individual ink jet drops selected from the 8 to 16 differently colored inks. 
     EXAMPLE 
     High Cotton Content Paper 
     The following LUTs were used with the pre-optimized ink-set (Table 1, above) for printing a complex image on a high linen fiber content paper. There are seven color curves in the pure-color hue and saturation LUT—scarlet, golden yellow, yellow, turquoise, blue, violet, and red. There are four color curves in the pseudo-color hue and saturation LUT—medium red, medium turquoise, light blue, and light magenta. There are nine color curves in the gray scale LUT—black, cyan, golden yellow, medium red, light magenta, scarlet, light blue, yellow, and blue. All twelve of the differently colored inks in the preferred pre-optimized ink-set are present in the absorption profiles LUT. 
     As used in the following LUTs, K is black, V is violet, B is blue, T is turquoise, MT is medium turquoise, LB is light blue, R is red, MR is medium red, LM is light magenta, S is scarlet, GY is golden yellow, and Y is yellow. 
     
       
         
               
             
               
               
             
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 4 
               
             
             
               
                   
               
               
                 Pure-Color Hue and Saturation Curves (FIG. 1) 
               
             
          
           
               
                   
                 Curve # 
               
             
          
           
               
                   
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
               
               
                   
                   
               
             
          
           
               
                 Color 
                 S 
                 GY 
                 Y 
                 T 
                 B 
                 V 
                 R 
               
               
                 Slot 
                 10 
                 11 
                 12 
                 4 
                 3 
                 2 
                 7 
               
               
                 Hue In 
                 220 
                 255 
                 24 
                 47 
                 149 
                 173 
                 186 
               
               
                 Hue Middle 
                 0 
                 21 
                 38 
                 149 
                 178 
                 193 
                 216 
               
               
                 Hue Out 
                 24 
                 45 
                 141 
                 169 
                 208 
                 217 
                 12 
               
               
                 Saturation 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 In 
               
               
                 Saturation 
                 200 
                 173 
                 256 
                 229 
                 240 
                 255 
                 255 
               
               
                 Peak 
               
               
                 Saturation 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 Out 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
             
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 5 
               
             
             
               
                   
               
               
                 Light Blue/Blue/Violet Pseudo-Color Curves (FIG. 2) 
               
             
          
           
               
                   
                 Curve # 
               
             
          
           
               
                   
                 1 
                 2 
                 3 
               
               
                   
                   
               
             
          
           
               
                   
                 Color 
                 LB 
                 B 
                 V 
               
               
                   
                 Slot 
                 6 
                 3 
                 2 
               
               
                   
                 Hue In 
                 0 
                 32 
                 13 
               
               
                   
                 Hue Middle 
                 98 
                 256 
                 205 
               
               
                   
                 Hue Out 
                 256 
                 256 
                 256 
               
               
                   
                 Saturation 
                 0 
                 0 
                 0 
               
               
                   
                 In 
               
               
                   
                 Saturation 
                 178 
                 256 
                 114 
               
               
                   
                 Peak 
               
               
                   
                 Saturation 
                 0 
                 256 
                 13 
               
               
                   
                 Out 
               
               
                   
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
               
             
               
               
               
             
               
               
               
               
             
           
               
                 TABLE 6 
               
             
             
               
                   
               
               
                 Turquoise/Medium Turquoise Pseudo-Color Curves (FIG. 3) 
               
             
          
           
               
                   
                 Curve # 
                   
               
             
          
           
               
                   
                 1 
                 2 
               
               
                   
                   
               
             
          
           
               
                   
                 Color 
                 T 
                 MT 
               
               
                   
                 Slot 
                 4 
                 5 
               
               
                   
                 Hue In 
                 42 
                 0 
               
               
                   
                 Hue Middle 
                 256 
                 208 
               
               
                   
                 Hue Out 
                 256 
                 256 
               
               
                   
                 Saturation 
                 0 
                 0 
               
               
                   
                 In 
               
               
                   
                 Saturation 
                 242 
                 245 
               
               
                   
                 Peak 
               
               
                   
                 Saturation 
                 255 
                 96 
               
               
                   
                 Out 
               
               
                   
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
             
               
               
               
               
             
               
               
               
               
               
             
           
               
                 TABLE 7 
               
             
             
               
                   
               
               
                 Red/Medium Red/Light Magenta 
               
               
                 Pseudo-Color Hue and Saturation Curves (FIG. 4) 
               
             
          
           
               
                   
                 Curve # 
               
             
          
           
               
                   
                 1 
                 2 
                 3 
               
               
                   
                   
               
             
          
           
               
                   
                 Color 
                 R 
                 MR 
                 LM 
               
               
                   
                 Slot 
                 7 
                 8 
                 9 
               
               
                   
                 Hue In 
                 13 
                 10 
                 0 
               
               
                   
                 Hue Middle 
                 255 
                 210 
                 58 
               
               
                   
                 Hue Out 
                 256 
                 256 
                 152 
               
               
                   
                 Saturation 
                 0 
                 0 
                 0 
               
               
                   
                 In 
               
               
                   
                 Saturation 
                 256 
                 194 
                 74 
               
               
                   
                 Peak 
               
               
                   
                 Saturation 
                 256 
                 40 
                 0 
               
               
                   
                 Out 
               
               
                   
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
             
               
               
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 8 
               
             
             
               
                   
               
               
                 Gray Scale Curves (FIG. 5) 
               
             
          
           
               
                   
                 Curve # 
               
             
          
           
               
                   
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
                 8 
                 9 
               
               
                   
                   
               
             
          
           
               
                 Color 
                 K 
                 MT 
                 GY 
                 MR 
                 LM 
                 S 
                 LB 
                 Y 
                 V 
               
               
                 Slot # 
                 1 
                 5 
                 11 
                 8 
                 9 
                 10 
                 6 
                 12 
                 2 
               
               
                 Lumi- 
                 88 
                 1 
                 5 
                 3 
                 0 
                 53 
                 0 
                 0 
                 8 
               
               
                 nance 
               
               
                 In 
               
               
                 Lumi- 
                 256 
                 130 
                 136 
                 192 
                 8 
                 128 
                 184 
                 197 
                 192 
               
               
                 nance 
               
               
                 Middle 
               
               
                 Lumi- 
                 256 
                 256 
                 244 
                 256 
                 122 
                 256 
                 256 
                 256 
                 256 
               
               
                 nance 
               
               
                 Out 
               
               
                 Ink In 
                 0 
                 0 
                 0 
                 1 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 Ink 
                 256 
                 21 
                 8 
                 37 
                 21 
                 12 
                 13 
                 10 
                 74 
               
               
                 Peak 
               
               
                 Ink Out 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                   
               
             
          
         
       
     
     
       
         
               
             
               
               
             
               
               
               
               
               
               
               
               
               
               
               
               
               
             
               
               
               
               
               
               
               
               
               
               
               
               
               
             
           
               
                 TABLE 9 
               
             
             
               
                   
               
               
                 Absorption Profile Curves (FIG. 6) 
               
             
          
           
               
                   
                 Curve # 
               
             
          
           
               
                   
                 1 
                 2 
                 3 
                 4 
                 5 
                 6 
                 7 
                 8 
                 9 
                 10 
                 11 
                 12 
               
               
                   
                   
               
             
          
           
               
                 Slot Color 
                 K 
                 V 
                 B 
                 T 
                 MT 
                 LB 
                 R 
                 MR 
                 LM 
                 S 
                 Y 
                 GY 
               
               
                 Absorption 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 In 
               
               
                 Absorption 
                 256 
                 256 
                 256 
                 256 
                 256 
                 256 
                 256 
                 256 
                 256 
                 256 
                 256 
                 256 
               
               
                 Middle 
               
               
                 Absorption 
                 255 
                 256 
                 255 
                 255 
                 255 
                 255 
                 255 
                 255 
                 255 
                 255 
                 255 
                 255 
               
               
                 Out 
               
               
                 Ink In 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                 Ink Peak 
                 183 
                 256 
                 232 
                 211 
                 189 
                 240 
                 228 
                 242 
                 232 
                 242 
                 248 
                 68 
               
               
                 Ink Out 
                 0 
                 197 
                 256 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
                 0 
               
               
                   
               
             
          
         
       
     
     The present invention having been described with reference to a preferred embodiment thereof, it will be obvious to those skilled in the art that various changes and modifications may be made without departing from the spirit and scope of the present invention.