Color matching method and system based on munsell full color gamut gridding color mixing model

Abstract

The application discloses a color matching method and system based on a Munsell full-color-range gridding color mixing model, relates to the theory and technology of color design and full-color-range color matching of dye solution, color master batch and ink in the textile, high polymer material and printing industry.The method is based on five main colors, north polar white and south polar black actually obtained, sequentially gives the method for constructing a Munsell equatorial hue ring, a gray axis, an edge color block and an intermediate color block, and constructs a hue system, a lightness system, a chroma system and a full-color-range gridding color mixing model, and associates the color value of each color block, the mixing concentration of the primary colors and the grid point coordinate position, so that a designer can directly obtain the mixing concentration ratio of each primary color according to the constructed digital color spectrum when performing color matching, and compared with the existing color matching method relying on experience and visual observation, the application can greatly improve the color matching efficiency and color matching accuracy.

Description

Technical Field

[0001] This invention relates to a color matching method and system based on the Munsell full-gamut gridded color mixing model, and to the theory and technology of color design and full-gamut color matching for dyes, masterbatches, and inks in the textile, polymer materials, and printing industries. Background Technology

[0002] The Munsell color system, also known as the Munsell color solid, was created in 1905 by American artist A. Munsell. It uses numbers to precisely describe various colors. The color space of the Munsell color solid has three dimensions: hue, value, and chroma, which are respectively called Munsell hue, Munsell value, and Munsell chroma.

[0003] Munsell hue is composed of five primary hues: red (R), yellow (Y), green (G), blue (B), and purple (P), and five intermediate hues: yellow-red (YR), green-yellow (GY), blue-green (BG), purple-blue (PB), and red-purple (RP). These are arranged in an equatorial hue circle, and each hue is further divided into two sub-hues: 1R and 2R, resulting in 20 levels of hue. Munsell value is based on polar white (W) and anthropoid black (K), and is divided into 11 value levels from black to white. For a given hue and value, Munsell chroma is calculated by arranging adjacent color samples with equal color difference to obtain a scale with continuously increasing chroma. This scale is then repeatedly tested and samples that meet the requirements are selected.

[0004] Color processing is accomplished through processes such as dyeing, coloring, and printing. Industries such as dyeing, printing, and painting can select pigments, dyes, inks, paints, and colored fibers as colorants for color processing. Color control can be based on subtractive color mixing in liquid phases or spatial juxtaposition color mixing in solid phases. The coloring carriers can be surfaces of inorganic materials such as paper, fibers and fabrics, and glass, as well as metal surfaces. For color design and processing, it is typically necessary to construct a suitable Munsell color solid and rely on the color information it provides to guide innovative color design and digital processing.

[0005] The Munsell color solid exhibits an irregular ellipsoidal shape. Due to the lack of mathematical models and algorithms, its construction currently relies on the experience and visual perception of color designers, employing traditional theories and methods. The lack of mathematical tools and standardized process guidance makes constructing the Munsell color solid and applying it to color design a complex and challenging task. The industrial application of the Munsell color solid faces the following major bottlenecks:

[0006] (1) The Munsell color solid gives the definition of Munsell hue levels, but does not give a method for constructing the Munsell equatorial hue circle model based on the five primary colors of red (R), yellow (Y), green (G), blue (B), and purple (P) obtained from actual pigments;

[0007] (2) The Munsell color solid gives the definition of the Munsell gray axis, but does not give a method for constructing the Munsell gray axis model based on the primary colors such as Arctic white (W) and Antarctic black (K) obtained from actual pigments;

[0008] (3) The Munsell color solid defines the chromaticity levels, but does not provide a method for constructing a chromaticity system based on the hue circle and gray axis;

[0009] (4) The Munsell color solid defines hue level, lightness level and chroma level, but does not provide a method for constructing the grid point coordinate system of the Munsell color solid based on the grid division of the three dimensions;

[0010] (5) The Munsell color solid theory does not provide a method for obtaining the mixing concentration of grid points based on the coordinate values ​​of grid points;

[0011] (6) The Munsell color solid theory does not provide a method for obtaining the color value of grid points based on the coordinate values ​​of grid points;

[0012] (7) The Munsell color solid theory does not provide a method for constructing a full-gamut gridded color mixing model of the Munsell color solid based on the measured color values ​​and mixing concentrations of the seven primary color pigments, namely red (R), yellow (Y), green (G), blue (B), purple (P), white (W), and black (K).

[0013] (8) The theory of Munsell color solid does not provide a method for constructing the full-gamut grid point chromatogram matrix of Munsell color solid and obtaining its isochromatic and isoluminance plane chromatograms. Summary of the Invention

[0014] To address the aforementioned problems, this invention provides a color matching method and system based on the Munsell full-gamut gridded color mixing model. The technical solution is as follows:

[0015] The first objective of this invention is to provide a color mixing method, comprising:

[0016] Step 1: Obtain the color values ​​of the five primary colors, Arctic white, and Antarctic black of the Munsell color solid based on actual pigment measurement, denoted as: C 5R =[r 5R ,g 5R ,b 5R ]、C 5Y =[r 5Y ,g 5Y ,b 5Y ]、C5B =[r 5B ,g 5B ,b 5B ]、C 5G =[r 5G ,g 5G ,b 5G ]、C 5P =[r 5P ,g 5P ,b 5P ]、C w =[r w ,g w ,b w ],C k =[r k ,g k ,b k Construct a full-gamut meshed color mixing model;

[0017] Step 2: Obtain the target color from the full-gamut gridded color mixing model, and obtain the mixing concentration values ​​of the five primary colors, Arctic white, and Antarctic black required to mix the target color based on the grid point coordinates of the target color in the model;

[0018] Step 3: Based on the mixing concentration value obtained in Step 2, mix the five main colors, Arctic White, and Antarctic Black pigments to obtain the target pigment;

[0019] The grid point coordinates of each color block in the full-gamut meshed color mixing model are:

[0020]

[0021] Where θ(ξ), ρ(ξ,z,t), and z represent the polar angle, polar radius, and height of the color block, respectively; ξ represents the number of the 20 hues of the Munsell color solid; ξ = 1 and ξ = 21 represent the same color block; ρ # (ξ,z) represents the polar radius of the edge color block;

[0022] The color values ​​of each color block in the full-gamut meshed color mixing model are:

[0023]

[0024] Each color block contains a seven-primary-color mixing concentration λ. W ,λ K ,λ 5R ,λ 5Y ,λ 5G ,λ 5B ,λ 5P for:

[0025]

[0026] Where μ represents the brightness level, z # The height of the edge color block is represented by z, and the height of the color block is represented by ρ. # (ξ,z # ) represents the polar radius of the edge color block, ρ ∞ (ξ, z) represents the polar radius of the middle color patch, z * (ξ) represents the height of the equatorial color patch, λ α (ξ) and λ β (ξ) represent the mixing concentrations of the two primary colors required to obtain a certain equatorial color patch under binary coupled color mixing mode, expressed as:

[0027]

[0028] The height and polar radius of each color block were obtained from the Munsell color atlas.

[0029] Optionally, the method for constructing the full-gamut meshed color mixing model includes:

[0030] Step 1: Based on the actual acquisition of the five primary colors of the Munsell color solid using pigments, construct the hue system of the equatorial hue circle;

[0031] The hue system of the equatorial hue ring [Φ * ] is represented as:

[0032] [Φ * ] = [C * (ξ),θ * (ξ),ρ * (ξ),z * (ξ)] (ξ=1,2,...,19,20,21)

[0033] Where, θ * (ξ), ρ * (ξ), z * (ξ) represent the polar angle, polar radius, and height of the points on the Munsell color solid grid, respectively, and C * (ξ) represents the color value corresponding to the 20 colors of the equatorial color wheel, expressed as:

[0034]

[0035] Among them, C 5R =[r 5R ,g 5R ,b 5R ]、C 5Y =[r 5Y ,g 5Y ,b 5Y ]、C 5B =[r 5B ,g5B ,b 5B ]、C 5G =[r 5G ,g 5G ,b 5G ]、C 5P =[r 5P ,g 5P ,b 5P These represent the actual color values ​​of the five primary colors obtained.

[0036] The 20 hues of the equatorial color wheel are represented by five primary colors with a mixing concentration λ(ξ) = [λ]. 5R (ξ),λ 5Y (ξ),λ 5B (ξ),λ 5G (ξ),λ 5P (ξ)] is digitally mixed, and the mixing concentration is:

[0037]

[0038] Step 2: Based on the actual acquisition of Arctic white and Antarctic black pigments, construct the Munsell color solid grayscale axis and its brightness system;

[0039] The lightness system is represented as follows:

[0040]

[0041] Among them, P O (0,0,z) represents the coordinates of the 11 grid points on the grayscale axis. The color values ​​of the 11 nodes on the grayscale axis are represented as follows:

[0042]

[0043] Among them, C w =(r w ,g w ,b w C k =(r k ,g k ,b k These represent the actual acquired white values ​​for the Arctic and black values ​​for the Antarctic, respectively. and These represent the mixed concentrations of white in the Arctic and black in the Antarctic, respectively.

[0044] When μ = 0, for:

[0045]

[0046] When μ = 1, 2, ..., 9, 10, for:

[0047]

[0048] Step 3: Construct the Munsell chroma system;

[0049] The grid point coordinates and color values ​​of the edge color blocks of the Munsell color solid are:

[0050]

[0051] Among them, P # [θ # (ξ),ρ # (ξ,z # ),z # ] represents the grid point coordinates of the edge color block, C # [θ # (ξ),ρ # (ξ,z # ),z # ] represents the color value of the edge color block, expressed as:

[0052]

[0053] Where, λ * (ξ,z # ) represents the mixed concentration of equatorial colors, λ o (ξ,z # The number () indicates the mixing concentration of grays of the same lightness level, expressed as:

[0054] When the brightness level z of the edge color block # brightness level z of the equatorial color block * (ξ) satisfies 0 < z # <z * When (ξ), the equatorial color and gray of the same brightness level are mixed at a concentration λ. * (ξ,z # ) and λ o (ξ,z # If coupling and color mixing are performed, then:

[0055]

[0056] When the brightness level of the edge color block is z # Equatorial color brightness level z * (ξ) conforms to z * (ξ)<z # When the value is <10, the equatorial color and the same brightness gray are mixed at a concentration λ. * (ξ,z # ) and λ o (ξ,z# If coupling and color mixing are performed, then:

[0057]

[0058] The grid point coordinates of the middle color block of the Munsell color solid are:

[0059]

[0060] The color value of the intermediate color block of the Munsell color solid is:

[0061]

[0062] Among them, the edge color block mixing concentration Mixing density with grayscale blocks of the same level They are respectively:

[0063]

[0064] Optionally, step 1 first forms five color mixing zones based on five primary colors, and then constructs an equatorial hue ring using a binary coupling color mixing mode.

[0065] Optionally, the color values ​​of the Arctic white and Antarctic black satisfy r k ≈g k ≈b k ,r w ≈g w ≈b w .

[0066] Optionally, step 2 constructs a grayscale axis based on the color values ​​of the Antarctic black and Arctic white using a linear or non-linear coupling color mixing mode.

[0067] Optionally, methods for constructing grayscale axes using non-linear coupled color mixing modes include:

[0068] Take the weight of white pigment as ω w The weight of the black pigment is ω k ω w =ω k Let z = 0, 1, 2, ..., 9, 10, η = 1, 2, ..., 9, 10, and take ω. w ,ω k The discretized weight is set up:

[0069]

[0070] Will and Perform coupled color mixing, and let the weight of the mixed sample be... Mixed concentration is and The coupled color mixing mode of Antarctic black and Arctic white is as follows:

[0071]

[0072] This allows us to obtain the mixed color concentration of Antarctic black and Arctic white.

[0073] The second objective of this invention is to provide a color mixing system for implementing the color mixing method described in any of the preceding claims, the system comprising: a color measuring device, a full color gamut gridded color mixing model construction module, and a visualization module;

[0074] The colorimetric device is used to obtain the color values ​​of the five primary colors of the Munsell color solid, Arctic white, and Antarctic black in the actual pigment;

[0075] The full-gamut meshed color mixing model construction module includes:

[0076] The color value acquisition module is configured to acquire the actual color value of the colorant from the color measuring device;

[0077] The equatorial hue wheel construction module is configured to construct an equatorial hue wheel based on the five primary colors of the Munsell color solid obtained in practice, and to provide the color value, position coordinate value and mixing concentration of the five primary colors for each hue.

[0078] The grayscale axis construction module is configured to construct a grayscale axis based on the actually acquired Munsell color solids of Arctic white and Antarctic black, and to give the color value, position coordinate value and mixing concentration of Arctic white and Antarctic black for each brightness node;

[0079] The chroma system construction module is configured to construct edge and middle color blocks of the Munsell color solid based on hue and lightness, and to provide the color value, position coordinate value and mixing concentration of equatorial color and gray of the same lightness level for each color block;

[0080] The visualization module is configured to display the model's color spectrum and output the mixed color concentrations of the five primary colors, Arctic white, and Antarctic black based on the grid point coordinates of the target color.

[0081] A third objective of this invention is to provide the application of the above-mentioned color mixing method and / or color mixing system in the color design of dyes, masterbatches, and inks in the textile, polymer materials, and printing industries.

[0082] A fourth objective of the present invention is to provide a computer-readable storage medium, characterized in that the storage medium stores a computer program that, when executed by a processor, implements the color matching method as described in any of the preceding claims.

[0083] A fifth object of the present invention is to provide an electronic device, characterized in that it includes a memory and a processor;

[0084] The memory is used to store computer programs;

[0085] The processor is configured to implement the color matching method as described in any of the preceding claims when executing the computer program.

[0086] The beneficial effects of this invention are:

[0087] This invention provides a Munsell color solid model suitable for industrial color design. Based on five primary colors, Arctic white, and Antarctic black, it presents a full-gamut gridded color mixing model based on the Munsell color solid. This model, based on the grid point coordinates of color blocks, provides the color value and mixing concentration value for each color block. In the color mixing process, designers can directly obtain the seven primary color mixing concentrations of the target color from this model. By mixing actual pigments based on these concentrations, the target pigment can be obtained. Therefore, the color mixing method of this invention can be widely applied to the color design of dyes, masterbatches, and inks in the textile, polymer materials, and printing industries. Compared to existing color mixing methods relying on experience and visual inspection, this invention can greatly improve color matching efficiency and accuracy.

[0088] Furthermore, this invention provides a method for constructing the Munsell equatorial hue circle, grayscale axis, edge color blocks, and intermediate color blocks in sequence. It also constructs a hue system, a lightness system, a chroma system, and a full-gamut gridded color mixing model by combining grid point coordinate values ​​and the mixing concentration of the seven primary colors. The color spectrum and the corresponding primary color mixing concentration can be displayed through a visualization module, which further improves the efficiency of color matching. Attached Figure Description

[0089] To more clearly illustrate the technical solutions in the embodiments of the present invention, the accompanying drawings used in the description of the embodiments will be briefly introduced below. Obviously, the accompanying drawings described below are only some embodiments of the present invention. For those skilled in the art, other drawings can be obtained based on these drawings without creative effort.

[0090] Figure 1 This is a flowchart of the method for constructing a full-gamut meshed color mixing model for the Munsell color solid according to the present invention.

[0091] Figure 2 This is a graph showing the nonlinear mixing concentration variation of white and black at different brightness levels according to the present invention.

[0092] Figure 3 This is a flowchart of a method for obtaining color values ​​and mixing concentrations based on the Munsell color solid in an embodiment of the present invention. Detailed Implementation

[0093] To make the objectives, technical solutions, and advantages of the present invention clearer, the embodiments of the present invention will be described in further detail below with reference to the accompanying drawings.

[0094] Example 1:

[0095] This embodiment provides a method for constructing a full-gamut meshed color mixing model for the Munsell color solid, detailing the specific construction steps, mainly including the following:

[0096] (I) Based on the five primary colors of red (R), yellow (Y), green (G), blue (B), and purple (P) obtained from actual pigments, construct the Munsell equatorial hue circle and its hue system.

[0097] 1. Construct a color mixing model of five primary colors in the equatorial color wheel.

[0098] (1) Obtaining the five primary color pigments of the equatorial hue ring

[0099] Referring to the color values ​​of the five primary colors 5R, 5Y, 5G, 5B, and 5P on the Munsell equatorial color wheel, select the five corresponding primary color pigments and weigh them as T. 5R ,T 5Y ,T 5B ,T 5G ,T 5P The measured color values ​​are C 5R =[r 5R ,g 5R ,b 5R ], C 5Y =[r 5Y ,g 5Y ,b 5Y ], C 5B =[r 5B ,g 5B ,b 5B ], C 5G =[r 5G ,g 5G ,b 5G ], C 5P =[r 5P ,g 5P ,b 5P By searching the Munsell Color Atlas and combining it with practical experience, the coordinates of the five primary colors 5R, 5Y, 5G, 5B, and 5P on the equatorial color wheel were obtained, denoted as: P 5R =[θ 5R ,ρ 5R ,z 5R ]; P 5Y =[θ 5Y ,ρ 5Y ,z 5Y]; P 5B =[θ 5B ,ρ 5B ,z 5B ]; P 5G =[θ 5G ,ρ 5G ,z 5G ]; P 5P =[θ 5P ,ρ 5P ,z 5P ].

[0100] (2) Discretization of the weights of the five primary color pigments in the equatorial hue ring

[0101] Let ε = 1, 2, 3, 4, 5, and:

[0102]

[0103] (3) Construction of a binary coupled color mixing mode for the five primary colors of the equatorial hue ring

[0104] The five primary colors are combined into five color mixing zones in the form of (5R~5Y), (5Y~5G), (5G~5B), (5B~5P), and (5P~5R), and then binary coupled color mixing is performed as follows:

[0105] In the (5R~5Y) color mixing range, let ε=1,2,3,4, based on equation (1) T 5R With T 5Y With mixed concentration λ 5R (ε),λ 5Y (ε) performs binary coupling color mixing, and the color value of each mixed sample is C. 5R-5Y (ε), then:

[0106] T 5R-5Y (ε)=T 5R ×(5-ε) / 4+T 5Y ×(ε-1) / 4 (2)

[0107]

[0108] In the (5Y~5B) color mixing interval, let ε=1,2,3,4, based on equation (1) T 5Y With T 5B With mixed concentration λ 5Y (ε),λ 5B (ε) performs binary coupling color mixing, and the color value of each mixed sample is C. 5Y-5B (ε), then:

[0109] T 5Y-5B (ε)=T 5Y ×(5-ε) / 4+T 5B×(ε-1) / 4 (5)

[0110]

[0111] In the (5B~5G) color mixing range, let ε=1,2,3,4, based on equation (1) T 5B With T 5G With mixed concentration λ 5B (ε),λ 5G (ε) performs binary coupling color mixing, and the color value of each mixed sample is C. 5B-5G (ε), then:

[0112] T 5B-5G (ε)=T 5R ×(5-ε) / 4+T 5Y ×(ε-1) / 4 (8)

[0113]

[0114] In the (5G~5P) color mixing range, let ε=1,2,3,4, based on equation (1) T 5G With T 5P With mixed concentration λ 5G (ε),λ 5P (ε) performs binary coupling color mixing, and the color value of each mixed sample is C. 5G-5P (ε), then:

[0115] T 5G-5P (ε)=T 5G ×(5-ε) / 4+T 5P ×(ε-1) / 4 (11)

[0116]

[0117] In the (5P~5R) color mixing interval, let ε=1,2,3,4, based on equation (1) T 5P With T 5R With mixed concentration λ 5P (ε),λ 5R (ε) performs binary coupling color mixing, and the color value of each mixed sample is C. 5P-5R (ε), then:

[0118] T 5P-5R (ε)=T 5P ×(5-ε) / 4+T 5R ×(ε-1) / 4 (14)

[0119]

[0120] (4) Equatorial hue wheel color mixing model based on 5 primary colors

[0121] ① The mixing concentration of the 20 hues in the Munsell color solid

[0122] Let ξ = 1, 2, ..., 19, 20, 21; based on the five primary colors of the Munsell color solid, the mixing concentration λ(ξ) = [λ 5R (ξ),λ 5Y (ξ),λ 5B (ξ),λ 5G (ξ),λ 5P (ξ)] is digitally mixed to obtain 20 hues of the Munsell color solid. Based on equations (2) to (16), the mixing concentrations corresponding to the 20 hues can be obtained as follows:

[0123]

[0124]

[0125] or:

[0126] When ξ = 1 and ξ = 21, they represent the same hue (representing a cycle).

[0127] ② Mixing weight of the 20 hues of the Munsell color solid

[0128] Based on equations (2) to (16), let ξ = 1, 2, ..., 19, 20, 21, then the pigment weight T corresponding to the 20 hue grid points of the Munsell equatorial hue ring is... * (ξ) is:

[0129]

[0130] ③ Color values ​​of the 20 hues in the Munsell color solid

[0131] Based on equations (2) to (16), let ξ = 1, 2, ..., 19, 20, 21, then the hue value C of the Munsell equatorial hue ring is... * (ξ) is:

[0132]

[0133] 2. Construction of the Munsell equatorial color wheel hue system

[0134] The Munsell equatorial hue system refers to the coordinate values ​​and color values ​​corresponding to the 20 colors of the equatorial hue circle.

[0135] (1) Coordinate values ​​of the 20 hues on the equatorial hue ring

[0136] Let ξ = 1, 2, ..., 19, 20, 21, then the coordinate values ​​corresponding to the 20 colors of the equatorial hue ring are denoted as polar angles θ. *(ξ)=(ξ-1)×18、Polar radius ρ * (ξ), height z * (ξ), then the equatorial color C * {θ * (ξ),ρ * (ξ),z * The position of (ξ)} in the Munsell color solid is shown below:

[0137] P * [θ * (ξ),ρ * (ξ),z * [(ξ)]=[(ξ-1)×18,ρ * (ξ),z * (ξ)] (25)

[0138] In equation (25), the polar radius ρ corresponding to each equatorial color * (ξ) and height z * (ξ) needs to be passed through the hue angle θ * The value of (ξ)=(ξ-1)×18° was obtained by searching in the Munsell Color Atlas and combining it with actual conditions.

[0139] (2) Obtaining the 20 hue values ​​of the Munsell equatorial hue wheel

[0140] The color values ​​of the five primary colors in the Munsell equatorial color wheel are C. 5R =[r 5R ,g 5R ,b 5R ];C 5Y =[r 5Y ,g 5Y ,b 5Y ];C 5B =[r 5B ,g 5B ,b 5B ];C 5G =[r 5G ,g 5G ,b 5G ];C 5P =[r 5P ,g 5P ,b 5P Based on equations (17) to (22), the color values ​​C corresponding to the 20 hues of the Munsell equatorial hue circle can be obtained. * (ξ)=C * {θ * (ξ),ρ * (ξ),z * (ξ)} is as follows:

[0141]

[0142] (3) The hue system of the equatorial hue ring

[0143] Based on equations (25) and (26), the hue system of the Munsell equatorial hue ring [Φ] can be obtained. * ]as follows:

[0144] [Φ * ] = [C * (ξ),θ * (ξ),ρ * (ξ),z * (ξ)] (ξ=1,2,...,19,20,21) (27)

[0145] Taking the 20-hue equatorial hue wheel as an example, the color values ​​C corresponding to the 20 hues of the equatorial hue wheel can be obtained based on equation (26). * (ξ)(ξ=1,2,...,19,20,21); then based on the polar coordinate value θ * (ξ) Search for and combine the information in the Munsell Color Atlas to obtain the equatorial color C. * The polar radius ρ corresponding to (ξ) * (ξ) and height z * (ξ), thus obtaining the equatorial hue ring hue system constructed with the color values ​​and coordinate values ​​of 20 hues, as shown in Table 1.

[0146] Table 1. Hue system of the equatorial hue circle

[0147]

[0148] (II) Based on the actual Arctic white and Antarctic black obtained from pigments, construct the Munsell grayscale axis and its brightness system.

[0149] 1. Construction of a digital color mixing model based on Arctic white and Antarctic black and acquisition of color values ​​for each node.

[0150] (1) Acquisition of Arctic white and Antarctic black and layout of grayscale axis nodes

[0151] Based on actual pigments, the highest and lowest lightness grays corresponding to Arctic white and Antarctic black on the Munsell grayscale axis were obtained. The color values ​​of Arctic white and Antarctic black were then measured using a colorimeter, with values ​​C... w =(r w ,g w ,b w ),C k =(r k ,g k ,b k ), where r k ≈g k ≈b k,r w ≈g w ≈b w The vertical axis connecting the South Pole and North Pole color patches is the grayscale axis. Eleven grid points, corresponding to eleven brightness levels, are evenly distributed along the grayscale axis. The coordinates and color values ​​of these eleven nodes can be expressed as follows:

[0152]

[0153] (2) Construction of the coupled color mixing mode of Antarctic black and Arctic white

[0154] The coupling and mixing of Antarctic black and Arctic white can be carried out using either linear coupling or nonlinear coupling mixing modes.

[0155] ① Construction of a linearly coupled color mixing mode for Antarctic black and Arctic white

[0156] Take the weight of white and black pigments as ω w ,ω k And ω w =ω k z = 0, 1, 2, ..., 9, 10, take ω w ,ω k The discretized weight is set up:

[0157]

[0158] Will and Perform coupled color mixing, and let the weight of the mixed sample be... Mixed concentration is The coupled color mixing mode of Antarctic black and Arctic white is as follows:

[0159]

[0160] ② Construction of a nonlinear coupled color mixing mode for Antarctic black and Arctic white

[0161] Considering that black has a strong color intensity in actual color mixing, it is necessary to increase the decreasing gradient of black mixing concentration during the mixing process. Therefore, a non-linear coupled color mixing mode is constructed to mix black and white, as follows:

[0162] Take the weight of white and black pigments as ω w ,ω k (ω w =ω k Let z = 0, 1, 2, ..., 9, 10; η = 1, 2, ..., 9, 10, and take ω. w ,ω k The discretized weight is set up:

[0163]

[0164] Will and Perform coupled color mixing, and let the weight of the mixed sample be... Mixed concentration is and The coupled color mixing mode of Antarctic black and Arctic white is as follows:

[0165]

[0166] (3) Obtaining the color value and blending density corresponding to each node of the grayscale axis

[0167] Let the color values ​​of gray be 11 lightness levels on the grayscale axis. for:

[0168]

[0169] When μ = 0, for:

[0170]

[0171] When μ = 1, 2, ..., 9, 10, for:

[0172]

[0173] According to equations (36) and (37), when μ = 0, 1, ..., 9, 10, the mixture concentration variation curves of Antarctic white and Arctic black can be obtained respectively, as shown in equations (36) and (37). Figure 2 As shown.

[0174] (III) Based on the seven primary colors actually obtained from the pigments, the Munsell chroma system is constructed by grid-based mixing of the seven primary colors.

[0175] The Munsell color solid has 20 isohue planes, 11 isovalue planes, and 678 color patches. The Munsell Color Atlas records the hue, value, and chroma levels of these 678 color patches. The coordinate values ​​of these 678 color patches can be obtained by using their respective hue, value, and chroma levels.

[0176] Based on the equatorial hue ring and grayscale axis constructed above, the color values ​​of 20 equatorial color patches, 1 south pole color patch, and 1 north pole color patch can be obtained. The color values ​​of 160 edge color patches, 487 intermediate color patches, and 9 grayscale color patches still need to be acquired. At this point, based on the color values ​​of the 20 equatorial color patches, 1 south pole color patch, and 1 north pole color patch, and the position coordinates of all 678 color patches, the color values ​​of the 160 edge color patches and 487 intermediate color patches can be obtained. By acquiring the color values ​​of all grid points, the chroma system of the Munsell color solid can be constructed.

[0177] 1. Obtaining the coordinate values ​​of 678 color blocks in a Munsell color solid

[0178] The Munsell Color Atlas records the grades of a total of 678 color patches on 20 equal hue surfaces and 11 equal value surfaces, as shown in Table 2.

[0179] Table 2 Munsell Chroma Levels Based on Hue and Lightness Grades

[0180]

[0181]

[0182] Based on the data in Table 2, the coordinate values ​​of 180 color blocks located on the outer surface of the Munsell color solid are listed in Table 3.

[0183] Table 3. Coordinate values ​​of each color block in the Munsell color solid.

[0184]

[0185] Based on Table 3, for a 20-hue Munsell color solid, according to the hue angle θ(ξ) = 18(ξ-1) (ξ = 1, 2, ..., 19, 20, 21), the coordinate values ​​of all 678 color blocks can be obtained from Table 3. Let the polar radius of each color block be ρ(ξ) and the height be z(ξ). Then the coordinate values ​​of all color blocks can be expressed as:

[0186]

[0187] 2. Obtaining the coordinates and color values ​​of the edge color blocks in a Munsell color saturation.

[0188] Let θ be the hue angle of the edge color block coordinates. # (ξ)(ξ=1,2,...,19,20,21), height z # =1,2,...,8,9, with polar radius ρ # (ξ,z #); The polar radius of the coordinate values ​​of the 9 gray patches on the grayscale axis that are at the same height as the edge patch is zero, the hue angle is zero, and the height is equal to the edge patch height; Based on equation (38), the coordinates and color values ​​of the grayscale axis nodes corresponding to the edge patch can be expressed as:

[0189]

[0190] in:

[0191] Table 3 provides the chroma level ρ corresponding to each edge color block. # (ξ,z # Then, the coordinates and color values ​​of the edge color block can be expressed as:

[0192]

[0193] For different edge color patches distributed above and below the equator in the Munsell color solid, different formulas are needed to obtain the edge color values. Typically, the equator color is first coupled and mixed with either the Arctic (highest brightness white) or the Antarctic (lowest brightness black), and the corresponding mixing concentration is obtained based on the difference in brightness levels. Then, the color value of gray with the same brightness level as the edge color patch is used to replace the color value of the Arctic (highest brightness white) or the Antarctic (lowest brightness black) color patch for coupling and mixing, thus obtaining the color values ​​of each edge color patch on the Munsell color solid. Specifically:

[0194] (1) Obtaining the mixing concentration of the edge color blocks in the lower half of the Munsell color solid

[0195] When the brightness level of the edge color block is z # brightness level z of the equatorial color block * (ξ) satisfies 0 < z # <z * When (ξ), the equatorial color and gray of the same brightness level are mixed at a concentration λ. * (ξ,z # ) and λ o (ξ,z # If coupling and color mixing are performed, then:

[0196]

[0197] Using the equatorial colors of the Munsell color solid as a reference, different formulas are needed to obtain the color values ​​of edge color patches with lightness levels higher or lower than those of the equatorial colors. Typically, the equatorial colors are first coupled and mixed with either the Arctic (highest lightness white) or the Antarctic (lowest lightness black), and the corresponding mixing concentration is obtained based on the difference in lightness levels. Then, the color value of gray with the same lightness level as the edge color patch is used to replace the color value of the Arctic (highest lightness white) or the Antarctic (lowest lightness black) color patch for coupling and mixing, thus obtaining the color values ​​of each edge color patch on the Munsell color solid.

[0198] (2) Obtaining the mixing concentration of the edge color blocks in the upper half of the Munsell color solid

[0199] When the brightness level of the edge color block is z # Equatorial color brightness level z * (ξ) conforms to z * (ξ)<z # When the value is <10, the equatorial color and the same brightness gray are mixed at a concentration λ. * (ξ,z # ) and λ o (ξ,z # If coupling and color mixing are performed, then:

[0200]

[0201] (3) Obtaining the color values ​​of the edge color blocks of the Munsell solid color

[0202] Then the edge color block C # [θ # (ξ),ρ # (ξ,z # ),z # It can be made up of grayscale color blocks of equal brightness. Corresponding equatorial color block C * [θ * (ξ),ρ * (ξ),z * (ξ)] with a mixing concentration λ * (ξ,z # ) and λ o (ξ,z # The results are obtained through coupling and color mixing, as follows:

[0203]

[0204] The equatorial color block C in equation (26) * {θ * (ξ),ρ * (ξ),z * (ξ)} and Equation (37) medium brightness grayscale color block Substituting into equation (42), we can obtain the edge color block C. # [θ # (ξ),ρ # (ξ,z # ),z # The color values ​​are as follows:

[0205]

[0206] 3. Obtaining the coordinates and color values ​​of the intermediate color blocks in a Munsell color solid

[0207] The isochromatic planes of a Munsell color solid are cross-sections passing through the grayscale axis with a certain hue as the reference. A 20-hue Munsell color solid has 20 isochromatic planes. On each isochromatic plane, in addition to the North Pole, South Pole, Equatorial, grayscale axis, and edge color patches, there are a total of 487 intermediate color patches.

[0208] (1) Obtaining the coordinates of the intermediate color blocks in the Munsell color solid

[0209] Let ξ = 1, 2, ..., 20, 21; z ∞ =2,3,...,9,10,t=0,1,...,ρ # (ξ,z)-1,ρ # (ξ, z). Let P ∞ [θ ∞ (ξ),ρ ∞ (ξ,z ∞ ,t),z ∞ [] represents the middle color block, corresponding to hues ξ = 1, 2, ..., 19, 20, and the brightness levels z of the edge color blocks. # =2,3,…,9,10, the maximum polar radius ρ corresponding to the 160 edge color blocks can be retrieved through Table 4. # (ξ,z # ). For example, take z ∞ =z # Therefore, the coordinates of the grid points corresponding to the middle color block are as follows:

[0210]

[0211] (2) Obtaining the color values ​​of the intermediate color blocks in the Munsell color solid

[0212] Based on equation (46), the color value of the intermediate color block can be obtained as follows:

[0213]

[0214] By color value C # [θ # (ξ),ρ # (ξ,z #),z # The edge color block and the color value of the same brightness level are... grayscale color blocks, with mixed concentration By performing coupled color mixing, the color value of the intermediate color block can be obtained as C. ∞ [θ ∞ (ξ),ρ ∞ (ξ,z ∞ ,t),z ∞ ].

[0215] set up To adjust the blending density of edge color blocks, The concentration of mixed grayscale blocks of the same level is then:

[0216]

[0217] The color values ​​of the middle color block are obtained by coupling and mixing the edge color block with the grayscale color block of the same level as follows:

[0218]

[0219] The edge color block C in equation (46) # [θ # (ξ),ρ # (ξ,z # ),z # [Synthetic (38) medium brightness grayscale color block] Substituting into equation (49), we can obtain the color value C of the intermediate color block. # [θ # (ξ),ρ # (ξ,z # ),z # ]as follows:

[0220]

[0221] (iv) Based on the seven primary colors grid mixing and the grid point coordinates, the color values ​​of the grid points in the whole color gamut and their mixing concentration are obtained for the Munsell color solid, and a full color gamut grid mixing model is constructed for the Munsell color solid.

[0222] 1. Coordinate values ​​of each color block in a Munsell color solid

[0223] Let ξ = 1, 2, ..., 20, 21. Within an isochromatic surface with a hue angle of θ(ξ) = 18 × (ξ - 1), the height of each color patch is z (z = 0, 1, ..., 9, 10), and its polar radius is ρ(ξ, z). The polar radius of the corresponding edge color patch is ρ. # Given (ξ, z), the coordinates of any color block within the Munsell color solid can be uniformly expressed as:

[0224]

[0225] 2. A method for obtaining the blending weight of full-gamut grid points based on grid point coordinates

[0226] Given any grid point P within the Munsell color solid χ [θ(ξ),ρ(ξ,z,t),z]=[θ(ξ),ρ(ξ,z,t),z], the corresponding weight is T X [θ(ξ),ρ(ξ,z,t),z]. Within the isochromatic plane with hue angles θ(ξ) (ξ=1,2,...,20,21), the weight of the white pigment is T. W The weight of the black pigment is T. K The weight of the gray pigment is The weight of the equatorial pigment is T. * (ξ)(ξ=1,2,...,20,21), and:

[0227]

[0228] Then grid point P χ The mixed weight T corresponding to [θ(ξ),ρ(ξ,z,t),z] X [θ(ξ),ρ(ξ,z,t),z] is:

[0229]

[0230] because Substituting into equation (53), we get:

[0231]

[0232] When 0 < z < z * When (ξ),

[0233]

[0234] When z * When (ξ) < z < 10,

[0235]

[0236] in:

[0237]

[0238]

[0239] 3. A method for obtaining the blending density of full-gamut grid points based on grid point coordinates

[0240] The five primary colors on the Munsell color solid equatorial ring and the south and north polar colors on the grayscale axis are the seven primary color pigments prepared. Other grid points can be mixed to obtain the corresponding grid point mixture sample. The mixing concentration of the seven primary color pigments in the mixture sample can be determined according to the coordinate value of the grid point. The color value of the mixture sample can be obtained by weighted sum of the seven primary color values ​​with the mixing concentration as the weight.

[0241] Equation (58) gives the corresponding coordinate P χ The grid point weight T of (ξ,ρ,z)=[θ(ξ),ρ(ξ,z,t),z] X [θ(ξ),ρ(ξ,z,t),z], and based on the following range of values ​​for λ(ξ) in equation (22):

[0242]

[0243] Let z = 0, 1, ..., 9, 10, then the concentration λ of the seven primary colors at a point in the Monte Carlo color solid is... W ,λ K ,λ 5R ,λ 5Y ,λ 5G ,λ 5B ,λ 5P as follows:

[0244]

[0245] 4. A method for obtaining full-gamut grid point color values ​​based on the seven primary color values ​​and grid point density.

[0246] Based on the coordinates P of the inner grid points of the Munsell solid mentioned above χ The construction of [θ(ξ),ρ(ξ,z,t),z] can be achieved by setting the color value of each color block in the Munsell color solid to C. χ [r χ {θ(ξ),ρ(ξ,z,t),z},g χ {θ(ξ),ρ(ξ,z,t),z},b χ {θ(ξ),ρ(ξ,z,t),z}], combined with equation (59), the color values ​​of each color block of the Munsell color solid can be expressed as follows (60).

[0247]

[0248] In the formula λ W ,λ K ,λ 5R ,λ 5Y ,λ 5G ,λ 5B ,λ 5P See formula (59) for details.

[0249] A total of 678 grid points and their corresponding effective color blocks were obtained by dividing the hue level, lightness level, and maximum chroma level of 20 hue level, 11 lightness level, and 14 chroma level using the Munsell color solid; Equation (51) gives the grid point coordinates corresponding to the 678 grid points; Equation (58) gives the weight of the corresponding mixed sample obtained based on the coordinate values ​​of the 678 grid points; Equation (59) gives the mixing concentration of the corresponding mixed sample obtained based on the coordinate values ​​of the 678 grid points; Equation (60) gives the grid point color value corresponding to the 678 grid points obtained based on the seven primary color values ​​and their mixing concentration.

[0250] (v) Mixing concentration values ​​obtained based on the isochromatic surfaces of the Munsell color solid

[0251] Table 4 shows the mixing concentration of the three primary colors on the isochromatic surface with hue 5R.

[0252]

[0253] Table 5 shows the mixing concentration of the three primary colors on the isochromatic surface with hue 10R.

[0254]

[0255]

[0256] Table 6 shows the mixing concentration of the three primary colors on the isochromatic surface with hue 5YR.

[0257]

[0258] Table 7. Mixing Concentration of Three Primary Colors on the Isochromatic Surface with Hue 10YR

[0259]

[0260] Table 8 shows the mixing concentration of the three primary colors on the isochromatic surface with hue 5Y.

[0261]

[0262] Table 9 shows the mixing concentration of the three primary colors on the isochromatic surface with hue 10Y.

[0263]

[0264]

[0265] Table 10 shows the mixing concentration of the three primary colors on the isochromatic surface with a hue of 5GY.

[0266]

[0267] Table 11. Mixing Concentration of Three Primary Colors on Isochromatic Surfaces with Hue of 10 GY

[0268]

[0269] Table 12 shows the mixing concentration of the three primary colors on the isochromatic surface with hue 5G.

[0270]

[0271] Table 13 shows the mixing concentration of the three primary colors on an isochromatic surface with a hue of 10G.

[0272]

[0273]

[0274] Table 14 shows the mixing concentration of the three primary colors on the isochromatic surface with a hue of 5BG.

[0275]

[0276] Table 15 shows the mixing concentration of the three primary colors on an isochromatic surface with a hue of 10BG.

[0277]

[0278] Table 16 shows the mixing concentration of the three primary colors on the isochromatic surface with hue 5B.

[0279]

[0280] Table 17. Mixing Concentration of Three Primary Colors on Isochromatic Surfaces with Hue 10B

[0281]

[0282]

[0283] Table 18 shows the mixing concentration of the three primary colors on an isochromatic surface with a hue of 5 PB.

[0284]

[0285] Table 19 shows the mixing concentration of the three primary colors on isochromatic surfaces with a hue of 10 PB.

[0286]

[0287] Table 20 shows the mixing concentration of the three primary colors on the isochromatic surface with a hue of 5P.

[0288]

[0289] Table 21. Mixing Concentration of Three Primary Colors on Isochromatic Surfaces with Hue of 10P

[0290]

[0291] Table 22 shows the mixing concentration of the three primary colors on an isochromatic surface with a hue of 5RP.

[0292]

[0293] Table 23 shows the mixing concentration of the three primary colors on an isochromatic surface with a hue of 10RP.

[0294]

[0295] (vi) Construction of the color value matrix of the isochromatic plane of the Munsell color solid

[0296] A plane drawn through a certain equatorial hue point and the grayscale axis of a Munsell chromatic solid is called an isochromatic surface. All grid points on an isochromatic surface have equal hue angles. A 20-hue Munsell chromatic solid has 20 isochromatic surfaces. Based on equation (60), 20 isochromatic surface color matrixes can be constructed using grid point coordinates as indices as follows:

[0297] In the Munsell color system, the isochromatic color patch matrix with hue 5R is:

[0298]

[0299] In the Munsell color system, the isochromatic color patch matrix with a hue of 10R is:

[0300]

[0301] In the Munsell color system, the isohue face color block matrix with hue 5YR is:

[0302]

[0303] In the Munsell color system, the isohue face color block matrix with hue 10YR is:

[0304]

[0305] In the Munsell color system, the isochromatic color patch matrix for hue 5Y is:

[0306]

[0307] In the Munsell color system, the isochromatic color patch matrix with hue 10Y is:

[0308]

[0309] In the Munsell color system, the isochromatic color patch matrix for a hue of 5GY is:

[0310]

[0311] In the Munsell color system, the isochromatic color patch matrix with a hue of 10 GY is:

[0312]

[0313] In the Munsell color system, the isochromatic color patch matrix for hue 5G is:

[0314]

[0315] In the Munsell color system, the isochromatic color patch matrix with a hue of 10G is:

[0316]

[0317] In the Munsell color system, the isochromatic color patch matrix with hue 5BG is:

[0318]

[0319] In the Munsell color system, the isochromatic color patch matrix with a hue of 10BG is:

[0320]

[0321] In the Munsell color system, the isochromatic color patch matrix for hue 5B is:

[0322]

[0323] In the Munsell color system, the isochromatic color patch matrix with a hue of 10B is:

[0324]

[0325] In the Munsell color system, the isochromatic color patch matrix with a hue of 5 PB is:

[0326]

[0327] In the Munsell color system, the isochromatic color patch matrix with a hue of 10 PB is:

[0328]

[0329] In the Munsell color system, the isochromatic color patch matrix with hue 5P is:

[0330]

[0331] In the Munsell color system, the isochromatic color patch matrix with hue 10P is:

[0332]

[0333] In the Munsell color system, the isochromatic color patch matrix with a hue of 5RP is:

[0334]

[0335] In the Munsell color system, the isochromatic color patch matrix with a hue of 10RP is:

[0336]

[0337] (vii) Construction of the color value matrix of the equal lightness surface of the Munsell color solid

[0338] In the Munsell color system, the color matrix C1(ξ,ρ,z) of a color patch with equal brightness of 1 is:

[0339] C1(ξ,ρ,z)=[C(0,0,0)] (81)

[0340] In the Munsell color system, the color matrix C2(ξ,ρ,z) of a color patch with a brightness of 2 is:

[0341]

[0342] In the Munsell color system, the color matrix of equal-brightness area color blocks with a brightness of 3 is:

[0343]

[0344] In the Munsell color system, the color matrix of equal-brightness area color blocks with a brightness of 4 is:

[0345]

[0346] In the Munsell color system, the color matrix of a color patch with a brightness of 5 and equal brightness is:

[0347]

[0348] In the Munsell color system, the color matrix C6(ξ,ρ,z) of a color patch with a brightness of 6 is:

[0349]

[0350] In the Munsell color system, the color matrix of a color patch with a brightness of 7 and equal brightness is:

[0351]

[0352] In the Munsell color system, the color matrix of equal-value color patches with a value of 8 is:

[0353]

[0354] In the Munsell color system, the color matrix of a color patch with a brightness of 9 and equal brightness is:

[0355]

[0356] In the Munsell color system, the color matrix of a color patch with equal brightness of 10 is:

[0357]

[0358] In the Munsell color system, the color matrix of a color patch with a brightness of 11 is as follows:

[0359] [C 11 (ξ,ρ,z)]=[C(0,0,11)] (91)

[0360] Example 2: Based on the actual preparation of five primary color pigments (red (R), yellow (Y), green (G), blue (B), and purple (P) and the testing to obtain their color values, a 20-hue Munsell equatorial hue circle was constructed as follows:

[0361] Five pigments—red (R), yellow (Y), green (G), blue (B), and purple (P)—were selected, and their weights were recorded as T. 5R ,T 5Y ,T 5G ,T 5B ,T 5P And T 5R =T 5Y =T 5G =T 5B =T 5P The measured color values ​​are C 5R =(154,69,68); C 5Y = (238, 182, 0); C 5G = (0, 123, 93); C 5B = (58, 77, 103); C 5P = (87, 63, 67), by pairwise coupling and mixing adjacent colors of the five pigments with a gradient of 25%, the following RGB color values ​​of 20 hues can be obtained:

[0362] Table 24 RGB Color Values ​​for a 20-Color Wheel

[0363]

[0364] Example 3: Based on the actual prepared Arctic White and Antarctic Black pigments, their color values ​​were obtained through testing, and the Munsell grayscale axis was constructed as follows:

[0365] Select black and white materials, and weigh them as T respectively. K ,T W And T K =T WThe color values ​​of Arctic white and Antarctic black were obtained using a colorimeter, and were C0 and C1 respectively. w =(236,235,228),C k = (65, 66, 68). The vertical axis connecting the South Pole and North Pole color patches is the grayscale axis. Eleven grid points, corresponding to eleven brightness levels, are evenly distributed along the grayscale axis. Assume the weight of the grayscale color patch is T. O The RGB color values ​​of black and white in linear coupling and nonlinear coupling color mixing at the 11 nodes on the grayscale axis are as follows:

[0366] Table 25 RGB color values ​​for the grayscale axis

[0367]

[0368]

[0369] Example 4: Based on the constructed 20-hue Munsell equatorial hue ring and grayscale axis, the five primary hue planes of the Munsell color solid are constructed as follows:

[0370] In the Munsell color system, the RGB color value matrix of an isochromatic color patch with hue 5R is:

[0371]

[0372] In the Munsell color system, the RGB color value matrix of the isochromatic color patch with hue 5Y is:

[0373]

[0374] In the Munsell color system, the RGB color value matrix of the isochromatic color patch with hue 5G is:

[0375]

[0376] In the Munsell color system, the RGB color value matrix of an isochromatic color patch with hue 5B is:

[0377]

[0378] In the Munsell color system, the RGB color value matrix of an isochromatic color patch with hue 5P is:

[0379]

[0380] Example 5: Based on the isochromatic surfaces of the Munsell color solid, the mixing concentration of each grid point on the isochromatic surfaces of the five primary colors is as follows:

[0381] Based on the position coordinates of the color blocks on the isochromatic surfaces of the Munsell color solid, the mixing concentration of each grid point on the isochromatic surfaces of the five primary colors can be obtained as shown in Tables (26) to (30) below:

[0382] Table 26 shows the mixing concentration of the three primary colors on the isochromatic surface with hue 5R.

[0383]

[0384] Table 27. Mixing Concentration of Three Primary Colors on Isochromatic Surfaces with Hue 5Y

[0385]

[0386]

[0387] Table 28 shows the mixing concentration of the three primary colors on the isochromatic surface with hue 5G.

[0388]

[0389] Table 29. Mixing Concentration of Three Primary Colors on Isochromatic Surfaces with Hue of 5B

[0390]

[0391] Table 30 shows the mixing concentration of the three primary colors on the isochromatic surface with a hue of 5P.

[0392]

[0393] Example 6: Based on the isoluminance surfaces of the Munsell color solid, the mixing concentration of each grid point on the 6th isoluminance surface is obtained as follows:

[0394] Table 31 shows the mixing concentration of each grid point on the sixth lightness surface.

[0395]

[0396]

[0397] Example 7: Based on the equal lightness surfaces of the Munsell color solid, the color values ​​of each grid point on the 6th equal lightness surface are obtained as follows:

[0398] Table 32 shows the RGB color values ​​of each grid point on the sixth brightness level surface.

[0399]

[0400] Some steps in the embodiments of the present invention can be implemented using software, and the corresponding software program can be stored in a readable storage medium, such as an optical disc or a hard disk.

[0401] The above description is only a preferred embodiment of the present invention and is not intended to limit the present invention. Any modifications, equivalent substitutions, improvements, etc., made within the spirit and principles of the present invention should be included within the protection scope of the present invention.

Claims

1. A color mixing method, characterized in that, The method includes: Step 1: Obtain the color values ​​of the five primary colors, Arctic white, and Antarctic black of the Munsell color solid based on actual pigment measurement, as follows: , , , , , , Construct a full-gamut meshed color mixing model; Step 2: Obtain the target color from the full-gamut gridded color mixing model, and obtain the mixing concentration values ​​of the five primary colors, Arctic white, and Antarctic black required to mix the target color based on the grid point coordinates of the target color in the model; Step 3: Based on the mixing concentration value obtained in Step 2, mix the five main colors, Arctic White, and Antarctic Black pigments to obtain the target pigment; The grid point coordinates of each color block in the full-gamut meshed color mixing model are: In the formula, , , These are represented by the polar angle, polar radius, and height of the color block, respectively. , , ; The number representing the 20 hues of the Munsell color solid, with values ​​ranging from 1 to 20. ,in and Time indicates the same color block; , Obtained from Munsell's Atlas, and Indicates the polar radius of the edge color block; The color values ​​of each color block in the full-gamut meshed color mixing model are: Each color block contains a mixture of the seven primary colors at varying concentrations. for: in, Indicates brightness level, Indicates the height of the edge color block. Indicates the height of the color block. Indicates the polar radius of the edge color block. This represents the radius of the polarity of the middle color block. Indicates the height of the equatorial color block. and The concentrations of the two primary colors required to obtain a specific equatorial color patch under binary coupled color mixing mode are represented as follows: The height and polar radius of each color block were obtained from the Munsell color atlas.

2. The color matching method according to claim 1, characterized in that, The method for constructing the full-gamut meshed color mixing model includes: Step 1: Based on the actual acquisition of the five primary colors of the Munsell color solid using pigments, construct the hue system of the equatorial hue circle; The hue system of the equatorial hue ring Represented as: in, , , These represent the polar angle, polar radius, and height of the points on the Munsell color solid grid, respectively. ; The color values ​​corresponding to the 20 colors of the equatorial color wheel are represented as follows: in, , , , , These represent the actual color values ​​of the five primary colors obtained; The 20 hues of the equatorial color wheel are arranged in order of intensity from five primary colors. Digital hybridization; Step 2: Based on the actual acquisition of Arctic white and Antarctic black pigments, construct the Munsell color solid grayscale axis and its brightness system; The lightness system is represented as follows: ， in, These are the coordinates of the 11 grid points on the grayscale axis. The color values ​​of the 11 nodes on the grayscale axis are represented as follows: in, , These represent the actual obtained color values ​​for the Arctic (white) and Antarctic (black), respectively. and These represent the mixed concentrations of white in the Arctic and black in the Antarctic, respectively. when hour, for: when hour, for: Step 3: Construct the Munsell chroma system; The grid point coordinates and color values ​​of the edge color blocks of the Munsell color solid are: in, , ; The maximum radius corresponding to the edge color block ; The coordinates of the grid points of the edge color blocks are given. The color value of the edge color block is represented as: in, Indicates the concentration of mixed equatorial colors. The concentration of mixed grays of the same lightness level is represented as: When the brightness level of the edge color block brightness levels of equatorial color blocks satisfy At that time, the equatorial color was mixed with gray of the same brightness level at a certain concentration. and If coupling and color mixing are performed, then: in, , ; When the brightness level of the edge color block Equatorial lightness level conform to At that time, the equatorial color and the same brightness gray were mixed at a certain concentration. and If coupling and color mixing are performed, then: in, , ; The grid point coordinates of the middle color block of the Munsell color solid are: in, ; and Obtained from Munsell Atlas; The color value of the intermediate color block of the Munsell color solid is: Among them, the edge color block mixing concentration Mixing density with grayscale blocks of the same level They are respectively: in, ; ; and Obtained from Munsell's Atlas; .

3. The color matching method according to claim 2, characterized in that, Step 1 firstly involves creating five color mixing zones based on five primary colors, and then constructing an equatorial hue ring using a binary coupling color mixing mode.

4. The color matching method according to claim 2, characterized in that, The color values ​​of Arctic white and Antarctic black satisfy... , .

5. The color matching method according to claim 2, characterized in that, Step 2 constructs a grayscale axis based on the color values ​​of the Antarctic black and Arctic white using a linear or non-linear coupling color mixing mode.

6. The color matching method according to claim 5, characterized in that, Methods for constructing grayscale axes using nonlinear coupled color mixing modes include: Take the weight of white pigment as The weight of the black pigment is , ;set up , ,Pick The discretized weight is ,set up: Will and Perform coupled color mixing, and let the weight of the mixed sample be... The mixed concentration is and The coupled color mixing mode of Antarctic black and Arctic white is as follows: This allows us to obtain the mixed color concentration of Antarctic black and Arctic white.

7. A color matching system, characterized in that, The system for implementing the color matching method according to any one of claims 1-6 includes: a color measuring device, a full color gamut gridded color mixing model construction module, and a visualization module; The colorimetric device is used to obtain the color values ​​of the five primary colors of the Munsell color solid, Arctic white, and Antarctic black in the actual pigment; The full-gamut meshed color mixing model construction module includes: The color value acquisition module is configured to acquire the actual color value of the colorant from the color measuring device; The equatorial hue wheel construction module is configured to construct an equatorial hue wheel based on the five primary colors of the Munsell color solid obtained in practice, and to provide the color value, position coordinate value and mixing concentration of the five primary colors for each hue. The grayscale axis construction module is configured to construct a grayscale axis based on the actually acquired Munsell color solids of Arctic white and Antarctic black, and to give the color value, position coordinate value and mixing concentration of Arctic white and Antarctic black for each brightness node; The chroma system construction module is configured to construct edge and middle color blocks of the Munsell color solid based on hue and lightness, and to provide the color value, position coordinate value and mixing concentration of equatorial color and gray of the same lightness level for each color block; The visualization module is configured to display the model's color spectrum and output the mixed color concentrations of the five primary colors, Arctic white, and Antarctic black based on the grid point coordinates of the target color.

8. The application of a color mixing method as described in any one of claims 1-6 in the color design of dye liquors, masterbatches, and inks in the textile, polymer materials, and printing industries.

9. A computer-readable storage medium, characterized in that, The storage medium stores a computer program, which, when executed by a processor, implements the color matching method as described in any one of claims 1 to 6.

10. An electronic device, characterized in that, Including memory and processor; The memory is used to store computer programs; The processor is configured to implement the color matching method as described in any one of claims 1 to 6 when executing the computer program.

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