A digital composite color matching method and system for cement-based materials

Through digital methods and regression equation analysis, the pigment dosage range is locked, and the problem of single color of cement-based materials is solved, diversified allocation and quantitative calculation are realized, meeting the multi-color and transition color requirements of building scenes.

CN114724650BActive Publication Date: 2024-12-17CHONGQING UNIV
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Patent Information

Application Number
CN202210259760.9
Authority / Receiving Office
CN · China
Patent Type
Patents(China)
Current Assignee / Owner
Filing Date
2022-03-16
Publication Date
2024-12-17
Estimated Expiration
2042-03-16

AI Technical Summary

Technical Problem

The pigment blending method of existing cement-based materials leads to single color and lacks quantitative complex color blending technology, which cannot meet the multi-color and transition color needs of architectural scenes.

Method used

Through the digitalization method, the correspondence between Lab's characteristic value and pigment dosage amount is used to realize the unpolarization regulation of cement-based materials. Regression equations and response surface analysis are used to lock the pigment dosage range, optimize the pigment combination ratio, and reduce the number of experiments.

Benefits of technology

The diversified color mixing of cement-based materials has been achieved, the number of experiments has been reduced, the quantitative calculation accuracy of pigment dosage has been improved, the color difference between the final product and the target color has been reduced, and the application needs of multi-color and transition color are met.

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Abstract

The present application relates to the technical field of color matching of cement-based materials, and specifically discloses a digital compound color matching method for cement-based materials, including: step 1 determining the saturated dosage of pigments, step 2 complex color data collection, 3 determining the ratio of pigment combinations, and step 4 optimizing the pigment dosage. At the same time, the present invention also discloses a digital compound color matching system for mud-based materials, including a complex color database module for acquiring and storing data correspondence tables measured according to the steps of determining the saturated dosage of pigments and complex color data collection; a pigment combination ratio module for performing regression operations based on each data correspondence table to obtain a regression equation; and, drawing an isovalue surface through the regression equation. The present invention realizes the non-polarized control of the color of cement-based materials by means of digital means, enriches the color of colored cement-based materials prepared by the pigment mixing method, and can realize the application of multiple colors and transition colors in colored cement-based materials without relying on a large number of repeated experiments.
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Description

Technical Field

[0001] The invention belongs to the technical field of color matching of cement-based materials, and specifically discloses a digital complex color matching method and system for cement-based materials. Background Art

[0002] When preparing cement-based materials (such as colored mortar and colored concrete) by the pigment blending method, a certain proportion of pigment is blended into the cement-based material according to the mass of cement, and the pigment particles cover the mixed cement-based material to color it. This method requires that the pigment and the raw materials of the cement-based material are fully mixed to ensure the uniformity of the color. This method belongs to the overall coloring method, and the prepared colored cement-based material has good color durability. However, the currently used pigment blending method generally has a single color, the color transition is not smooth enough, and there is a lack of quantitative complex color blending technology, which cannot meet the needs of current construction scenes. Summary of the invention

[0003] The present invention aims to provide a method and system for digital complex color matching of cement-based materials. By digitizing the correspondence between the amount of each color pigment added to white cement and the Lab characteristic value of the finished cement-based material, the color of the cement-based material can be non-polarizedly controlled to solve the technical problem that the currently used pigment mixing method generally has a single color and lacks quantitative complex color mixing means.

[0004] The digital composite color matching method of cement-based materials in the present invention comprises:

[0005] Step 1: Determine the saturation dosage of the pigment:

[0006] One of white, black, red, yellow, blue and green pigments is added to white cement, and different single-color cement-based material test blocks are made using the white cement mixed with pigments. The Lab characteristic values ​​of each single-color test block under different single-color pigment dosages are measured, and the pigment dosage at which the Lab characteristic value no longer changes is taken as the saturated dosage.

[0007] Step 2: Complex color data collection:

[0008] For each pigment, from 0 to saturation dosage, multiple test point values ​​are sampled and selected;

[0009] Add any two of red, yellow, blue and green with different test point value dosages into the white cement to prepare a complex color, and add white or black with different test point value dosages to change the brightness to form a complex color cement;

[0010] Using various multi-color cements as raw materials, a plurality of multi-color cement-based material test blocks are prepared, and the Lab characteristic values ​​of each multi-color cement-based material test block are measured, thereby forming a plurality of data correspondence tables between the dosage of each pigment test value and the Lab characteristic value of the multi-color cement-based material test block;

[0011] Step 3: Determine the ratio of the pigment combination:

[0012] Based on the data correspondence tables, regression calculations are performed to obtain regression equations of the three characteristic values ​​of L*, a*, and b* of each color system and the amount of pigment of each color;

[0013] The three characteristic values ​​of L*, a*, and b* of the target color are used as the center point to expand the range and obtain three pairs of target range boundary values ​​of the three characteristic values;

[0014] Through the regression equation, three pairs of isosurfaces of the target range boundary values ​​are drawn respectively.

[0015] A point is randomly selected in the closed area surrounded by the isovalue surface, and the pigment dosage value corresponding to the point is used as the initial pigment dosage;

[0016] Step 4: Pigment dosage optimization

[0017] The finished cement-based material test block is produced by mixing colored cement with an initial pigment dosage, the color difference between the cement-based material test block and the target color is measured, and the pigment dosage is adjusted based on the color difference until the color difference between the obtained cement-based material test block and the target color is within the color difference range required by the design.

[0018] Furthermore, in step 2, three test point value dosages are selected, namely 0, 0.5*saturation dosage and 1*saturation dosage.

[0019] Furthermore, in step 2, multiple test point value dosage combinations for making multi-color cement-based material test blocks are selected through the central composite design method.

[0020] The present invention also discloses a digital composite color matching system for cement-based materials, comprising:

[0021] The complex color database module is used to obtain and store the data correspondence table measured according to the methods in step 1 and step 2 in the above method.

[0022] Pigment combination ratio module, which includes a collection calculation submodule and a pigment combination ratio selection submodule:

[0023] The collection calculation submodule is used to perform regression calculations based on the corresponding tables of each data to obtain the regression equations of the three characteristic values ​​of L*, a*, and b* of each color system and the amount of each color pigment;

[0024] The pigment combination ratio selection submodule is used to obtain the three characteristic values ​​of L*, a*, and b* of the target color and the characteristic value extension range value, and use this as the center point to expand the range according to the characteristic value extension range value to obtain three pairs of target range boundary values ​​of the three characteristic values;

[0025] Furthermore, by collecting the regression equations obtained by the calculation submodule, three pairs of isosurfaces of the target range boundary values ​​are drawn respectively, and a point is randomly selected in the closed area surrounded by these isosurfaces, and the pigment dosage values ​​corresponding to the point are output as the initial pigment dosage.

[0026] Furthermore, it also includes a graphical module for providing a graphical interface, which displays the isosurface and the closed area surrounded by the isosurface according to the configuration of the user;

[0027] The user is allowed to select a point on the graphical interface through an input device, and the coordinate value of the selected point is displayed.

[0028] Furthermore, it also includes a display device for displaying the graphical interface.

[0029] Furthermore, the configuration options of the graphical interface include, given a single pigment content value, providing a two-dimensional cross-sectional view corresponding to the pigment content value, and displaying the isovalue lines formed by each isovalue surface on the cross-sectional view.

[0030] The present invention obtains the functional relationship (regression equation) between the characteristic values ​​of L*, a*, b* and the parameters of various colors of pigments by a method of sampling experiment-numerical calculation-numerical regression, and then draws the isovalue surface of the characteristic values ​​of L*, a*, b* (range boundary values) of the target color by using the principle of response surface analysis, and then locks the required dosage of various colors of pigments in a closed area enclosed by the isovalue surface, and then randomly selects points in the closed area to trial-produce a finished cement-based material test block, and then fine-tunes the dosage of various colors of pigments with the color difference between the finished test block and the target color within the color difference range required by the design as the goal, and the present invention can realize the quantitative calculation of the pigment dosage of cement-based materials of any color, so that the color of cement-based materials can be more freely mixed; in addition, in the prior art, the application of multi-color and transitional colors still relies on a large number of repeated experiments to achieve, while through the present method, a smaller pigment dosage range is locked, the color difference between the initial finished cement-based material test block and the target color is smaller, so that the experimental test workload required for the final optimization is greatly reduced.

[0031] The present invention realizes the polarized control of the color of cement-based materials by means of digital means, enriches the color of colored cement-based materials prepared by the pigment blending method, and can realize the application of multiple colors and transition colors in colored cement-based materials without relying on a large number of repeated experiments. BRIEF DESCRIPTION OF THE DRAWINGS

[0032] Figure 1 This is a schematic diagram of selecting a point in a closed area to output an initial pigment dosage in an embodiment of the present invention.

[0033] Figure 2The present invention is a schematic block diagram of a digital composite color matching system for cement-based materials in an embodiment of the present invention.

[0034] Figure 3 It is a schematic block diagram of another digital composite color matching system for cement-based materials in an embodiment of the present invention. DETAILED DESCRIPTION

[0035] In this embodiment, the method for digitally mixing cement-based materials in the present invention is specifically described by taking colored cement paste as an example, including:

[0036] Step 1: Determine the saturation dosage of the pigment:

[0037] One of white, black, red, yellow, blue and green pigments is added to white cement to form cement raw materials and monochrome slurry test blocks are prepared respectively. The Lab characteristic values ​​of each monochrome test block at different dosages of the monochrome pigment are calculated, and the pigment dosage at which the Lab characteristic value no longer changes is taken as the saturated dosage.

[0038] The present embodiment uses a single factor variable method, with red, yellow, blue and green as the basic colors. With white silicate cement, white pigment, red, yellow, blue and green as raw materials, by measuring the Lab characteristic value of each test block under different dosages of monochromatic pigment, the pigment dosage at which the Lab characteristic value no longer changes is used as the saturated dosage. Taking the pigment used in the present embodiment experiment as an example, after the red pigment dosage is added to 5% (ratio of pigment mass to cement mass, the same below), the Lab characteristic value of the test block no longer continues to change, that is, 5% is the saturated dosage of red pigment. The same method is measured, and the saturated dosages of other yellow, blue, green, white and black pigments are all 5%.

[0039] Step 2: Complex color data collection:

[0040] For each pigment, between 0 and saturation dosage, multiple test point values ​​are randomly selected;

[0041] Add any two of red, yellow, blue and green with different test point value dosages into the white cement to prepare a complex color, and add white or black with different test point value dosages to change the brightness to form a complex color cement;

[0042] Multiple multi-color cement paste test blocks were made using various multi-color cements as raw materials, and the Lab characteristic values ​​of each multi-color test block were calculated.

[0043] Then, multiple data correspondence tables are formed between the dosage of each pigment test value and the Lab characteristic value of the complex color cement paste test block.

[0044] In this embodiment, a compound of four colors of red, yellow, blue and green is designed, and the a* and b* values ​​corresponding to the composite cement paste test blocks with different amounts of blue-green, red-blue, yellow-green, and red-yellow are measured respectively, and the amount of white pigment or black pigment is controlled to control the lightness L* value of the color paste;

[0045] Tables 1 to 4 take the light color compounding as an example, and record some compounding schemes and their corresponding Lab eigenvalue data. The dosage of the four pigments white, red, yellow, blue and green is 0-5%, and they are selected with a gradient of 2.5%, that is, each pigment is sampled at three dosages of 0, 2.5% and 5%, and then arranged and combined. By selecting a certain number of compounding schemes and their corresponding Lab eigenvalue data, a data correspondence table for light color compounding can be established.

[0046] Table 1 Excerpt from the data correspondence table of white-blue-green color system ratio and Lab characteristic value

[0047]

[0048] Table 2 Data correspondence table of white-red-blue color system ratio and Lab characteristic value

[0049]

[0050]

[0051] Table 3 Data correspondence table of white-green-yellow color system ratio and Lab characteristic value

[0052]

[0053]

[0054] Table 4 Data correspondence table of white-yellow-red color system ratio and Lab characteristic value

[0055]

[0056] It can be seen from the table that in this embodiment, not all possible combinations of compounding schemes are measured, but a certain number of compounding scheme combinations are selected according to the central composite design method in the surface response design method, and test blocks of some combinations of compounding schemes are made and measured twice.

[0057] In the same way, by replacing the white pigment with the black pigment, you can get the data correspondence table for dark color complex color matching.

[0058] Step 3: Determine the ratio of the pigment combination:

[0059] Based on the data correspondence tables, regression calculations are performed to obtain regression equations of the three characteristic values ​​of L*, a*, and b* of each color system and the amount of pigment of each color;

[0060] The three characteristic values ​​of L*, a*, and b* of the target color are used as the center point to expand the range and obtain three pairs of target range boundary values ​​of the three characteristic values;

[0061] Through the regression equation, three pairs of isovalue surfaces of the target range boundary values ​​are drawn respectively.

[0062] A point is randomly selected in the closed area enclosed by the isovalue surface, and the pigment dosage value corresponding to the point is used as the initial pigment dosage.

[0063] In this embodiment, taking the white, red and yellow complex color range as an example, after bringing the existing data correspondence table into Minitab software for response surface analysis, the regression equations related to the three characteristic values ​​of L*, a* and b* can be obtained. Each value is a function of white, red and yellow, so as to establish a Lab color system related to the complex color dosage and the characteristic values ​​of L*, a* and b*. The three regression equations in this embodiment are as follows:

[0064] L*=84.22-0.93White(%)-7.45Yellow(%)-8.29Red(%)-0.04White(%)*White(%)

[0065] +0.73Yellow(%)*Yellow(%)+2.37Red(%)*Red(%)+0.793White(%)*Yellow(%)

[0066] +0.288White(%)*Red(%)+1.010Yellow(%)*Red(%);

[0067] a*=8.62-4.11White(%)+5.33Yellow(%)+10.19Red(%)

[0068] +0.75White(%)*White(%)-0.50Yellow(%)*Yellow(%)-1.62Red(%)*Red(%)

[0069] -0.624White(%)*Yellow(%)+0.343White(%)*Red(%)

[0070] -0.152Yellow(%)*Red(%);

[0071] b*=19.12-3.78White(%)+4.77Yellow(%)+7.33Red(%)

[0072] +0.396White(%)*White(%)-0.344Yellow(%)*Yellow(%)

[0073] -0.331Red(%)*Red(%)+0.217White(%)*Yellow(%)-0.820White(%)*Red(%)

[0074] -1.240Yellow(%)*Red(%);

[0075] In this embodiment, the target color can be provided by a target test block or a color card, and the Lab characteristic value corresponding to the target color is measured by a colorimeter. For example, the Lab characteristic values ​​of the color measured by the colorimeter are L*(53), a*(27), and b*(26). With these values ​​as the center point, a range expansion of (-1, 1) is performed to obtain three pairs of target range boundary values ​​L*(52, 54), a*(26, 28), and b*(25, 27). The characteristic value analysis is input to obtain the corresponding contour lines and surfaces in the Cartesian coordinate system (that is, white, red, and yellow) with White(%), Red(%), and Yellow(%) as the coordinate values. The closed area enclosed by these contour surfaces is the closed area constituted by the required (corresponding to the expanded target range boundary values) dosages of each color. Select any point in the closed area surrounded by these isovalue surfaces, and take the pigment dosage values ​​corresponding to the point as the initial pigment dosage. In Figure X, the plane diagram is intercepted with the White (%) value (2.625) of the point, showing the position of the selected point in the closed area surrounded by the value surface, and its corresponding Red (%) and Yellow (%) values, which are 2.82877 and 4.13249 respectively. The figure also shows the isovalue lines formed by the isovalue surface on this section, and the selected point is located in the closed area surrounded by these isovalue lines in the figure.

[0076] Step 4: Pigment dosage optimization

[0077] Finally, the White (%), Red (%) and Yellow (%) values ​​corresponding to the points selected in step 3 in the coordinate system are used as the initial pigment dosage to make the finished cement paste test block. The Lab characteristic values ​​of the finished cement paste test block and the target test block or color card are measured and compared with the colorimeter. If there is a certain deviation in the Lab characteristic value, the ratio can be fine-tuned based on the initial pigment dosage to make the color difference of the Lab characteristic values ​​of the two within the color difference range required by the design.

[0078] It is worth noting that, in this embodiment, colored cement paste is taken as an example, but in fact the present invention can be applied to any cement-based material. When the paste abundance coefficient of the cement-based material is greater than or equal to 1, the color of the cement-based material depends on the color of the cement paste. The only difference is that different cement paste test blocks are made according to demand, and the raw materials for calculating the saturated dosage and for collecting complex color data of all test blocks are kept consistent except for the pigments. These raw materials are determined by specific engineering requirements and are not affected by the complex color matching.

[0079] Based on the above method, in this embodiment, the digital composite color matching system of cement-based materials can be used to complete:

[0080] The system includes a complex color database module, which is used to obtain and store a data correspondence table measured according to the method in step 1 and step 2 of this embodiment.

[0081] Pigment combination ratio module, which includes a collection calculation submodule and a pigment combination ratio selection submodule:

[0082] The collection calculation submodule is used to perform regression calculations based on the corresponding tables of each data to obtain the regression equations of the three characteristic values ​​of L*, a*, and b* of each color system and the amount of each color pigment;

[0083] The pigment combination ratio selection submodule is used to obtain the three characteristic values ​​of L*, a*, and b* of the target color and the characteristic value extension range value, and use this as the center point to expand the range according to the characteristic value extension range value to obtain three pairs of target range boundary values ​​of the three characteristic values;

[0084] Furthermore, by collecting the regression equations obtained by the calculation submodule, three pairs of isosurfaces of the target range boundary values ​​are drawn respectively, and a point is randomly selected in the closed area surrounded by these isosurfaces, and the pigment dosage values ​​corresponding to the point are output as the initial pigment dosage.

[0085] Therefore, the system user can, according to the current project needs, use the white cement and pigment actually used in the project, and according to the method provided in the present invention, make test blocks and then calculate the Lab characteristic values ​​of the test blocks to form the data correspondence table required by the system, and input it into the complex color database module for storage and backup. This is applicable to all cement-based materials. When the slurry surplus coefficient of the cement-based material is greater than or equal to 1, the slurry completely wraps the aggregate, and the color of the solid cement-based material depends entirely on the slurry color; when the slurry surplus coefficient is less than 1, the slurry partially wraps the aggregate, and the aggregate color affects the overall color uniformity of the cement-based material, but the slurry color is not affected.

[0086] After the data correspondence table is prepared in the middle color database module, the three characteristic values ​​of L*, a*, and b* of the target color and the characteristic value extension range value are input to the pigment combination ratio selection submodule. For example, the target color Lab characteristic values ​​L*(53), a*(27), b*(26) measured by the colorimeter in the aforementioned embodiment, and the characteristic value extension range value (-1, 1) are input; thus, the regression equation obtained by the aggregation calculation submodule is obtained to obtain three regression equations, and the isosurfaces to be drawn by the pigment combination ratio selection submodule are six, which can be three pairs of target range boundary values ​​L*(52, 54), a*(26, 28), and b*(25, 27), and then a certain point located in the closed interval surrounded by these isosurfaces is selected, and its coordinate values ​​(for example, White (%) (2.625), Red value (%) 2.82877 and Yellow (%) value 4.13249) are output as the initial pigment dosage, and the user reuses this ratio.

[0087] The specific implementation of the aggregation calculation submodule and the pigment combination ratio selection point submodule can be achieved by installing Minitab-type data processing software in a computer and performing corresponding programming. Correspondingly, the complex color database module can be implemented using the database built into the data processing software or database software that meets the requirements of the data processing software. The data entry, call, specific programming and calculation processes are relatively familiar to those skilled in the art and will not be further elaborated here.

[0088] In addition, the aforementioned point selection can be completed by software autonomously and randomly, and in some other more optimized embodiments, it can also be used as follows Figure 3 The graphical module and display device shown provide a graphical interface, which can display the aforementioned isosurfaces and closed areas enclosed by the isosurfaces according to the user's configuration, and allow the user to manually select points on the graphical interface through an input device, and display the coordinate values ​​of the selected points, that is, the parameter values ​​of the various colors of pigments corresponding to the selected points.

[0089] In some other more optimized embodiments, there may be more configuration options in the graphical interface. For example, since the closed area is a three-dimensional space, it is inconvenient to manually select points through a general flat display device. Therefore, in these embodiments, a two-dimensional cross-sectional view corresponding to a specific single pigment dosage value as shown in FIG. X may be given, and the figure may also simultaneously display the single pigment dosage value (the figure shows the dosage value of white pigment White (%) value (2.625)). The most important thing is to display the contour lines formed by each isosurface on this cross-section. The contour lines shown in FIG. X correspond to three pairs of target range boundary values ​​L*(52,54), a*(26,28), and b*(25,27); therefore, further points may be selected and outputted in the closed area surrounded by these contour lines. Figure 1 As shown in the figure, since the White (%) value 2.625 has been determined, the other two output values, Red (%) value 2.82877 and Yellow (%) value 4.13249, are output and displayed corresponding to the selected points.

[0090] In some further embodiments, the system further comprises: Figure 3 The color difference calculation module shown is used to calculate the color difference between the Lab characteristic value of the finished test block and the Lab characteristic value of the target color, and the quantified color difference facilitates the user to perform fine-tuning operations. Therefore, in these embodiments, a graphical module and a display device can also be used to display a color difference graphical interface, and the actual content includes the positions of the Lab characteristic value of the test block and the Lab characteristic value of the target color in the Lab color space, and the color difference vectors of the two in the Lab color space. It allows users to more intuitively understand that the color difference value currently needs to be adjusted.

[0091] Finally, it should be noted that the above embodiments are only used to illustrate the technical solutions of the present invention, rather than to limit it. Although the present invention has been described in detail with reference to the aforementioned embodiments, those skilled in the art should understand that they can still modify the technical solutions described in the aforementioned embodiments, or replace some or all of the technical features therein with equivalents. However, these modifications or replacements do not cause the essence of the corresponding technical solutions to deviate from the scope of the technical solutions of the embodiments of the present invention.

Claims

1. A digital composite color matching method for cement-based materials, characterized in that: include: Step 1: Determine the saturation dosage of the pigment: One of white, black, red, yellow, blue and green pigments is added to white cement, and different single-color cement-based material test blocks are made using the white cement mixed with pigments. The Lab characteristic values ​​of each single-color test block under different single-color pigment dosages are measured, and the pigment dosage at which the Lab characteristic value no longer changes is taken as the saturated dosage. Step 2: Complex color data collection: For each pigment, from 0 to saturation dosage, multiple test point values ​​are sampled and selected; Add any two of red, yellow, blue and green with different test point value dosages into the white cement to prepare a complex color, and add white or black with different test point value dosages to change the brightness to form a complex color cement; Using various multi-color cements as raw materials, a plurality of multi-color cement-based material test blocks are prepared, and the Lab characteristic values ​​of each multi-color cement-based material test block are measured, thereby forming a plurality of data correspondence tables between the dosage of each pigment test value and the Lab characteristic value of the multi-color cement-based material test block; Step 3: Determine the ratio of the pigment combination: Based on the data correspondence tables, regression calculations are performed to obtain regression equations of the three characteristic values ​​of L*, a*, and b* of each color system and the amount of pigment of each color; Take the three characteristic values ​​of L*, a*, and b* of the target color as the center point to expand the range and obtain three pairs of target range boundary values ​​of the three characteristic values; Through the regression equation, three pairs of isovalue surfaces of the target range boundary values ​​are drawn respectively. A point is randomly selected in the closed area surrounded by the isovalue surface, and the pigment dosage value corresponding to the point is used as the initial pigment dosage; Step 4: Pigment dosage optimization The finished cement-based material test block is produced by mixing colored cement with an initial pigment dosage, the color difference between the cement-based material test block and the target color is measured, and the pigment dosage is adjusted based on the color difference until the color difference between the obtained cement-based material test block and the target color is within the color difference range required by the design.

2. The method according to claim 1, characterized in that In step 2, three test point values ​​are selected, namely 0, 0.5*saturation dosage and 1*saturation dosage.

3. The method according to claim 2, characterized in that In step 2, multiple test point value dosage combinations for making multi-color cement-based material test blocks are selected through the central composite design method.

4. A digital composite color matching system for cement-based materials, characterized in that: include: A complex color database module, used to obtain and store a data correspondence table measured according to any method as claimed in claims 1 to 3; Pigment combination ratio module, which includes a collection calculation submodule and a pigment combination ratio selection submodule: The collection calculation submodule is used to perform regression calculations based on the corresponding tables of each data to obtain the regression equations of the three characteristic values ​​of L*, a*, and b* of each color system and the amount of each color pigment; The pigment combination ratio selection submodule is used to obtain the three characteristic values ​​of L*, a*, and b* of the target color and the characteristic value extension range value, and use this as the center point to expand the range according to the characteristic extension range value to obtain three pairs of target range boundary values ​​of the three characteristic values; Furthermore, by collecting the regression equations obtained by the calculation submodule, three pairs of isosurfaces of the target range boundary values ​​are drawn respectively, and a point is randomly selected in the closed area surrounded by these isosurfaces, and the pigment dosage values ​​corresponding to the point are output as the initial pigment dosage.

5. The system according to claim 4, characterized in that It also includes a graphical module for providing a graphical interface, which displays the isosurface and the closed area surrounded by the isosurface according to the configuration of the user; The user is allowed to select a point on the graphical interface through an input device, and the coordinate value of the selected point is displayed.

6. The system according to claim 5, characterized in that It also includes a display device for displaying the graphical interface.

7. The system according to claim 5, characterized in that The configuration options of the graphical interface include, given a single pigment content value, providing a two-dimensional cross-sectional view corresponding to the pigment content value, and displaying the isovalue lines formed by each isovalue surface on this cross-sectional view.

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