Color formulation method and system based on munsell full-color-gamut gridded color mixing model

Abstract

The present invention relates to the theory and technology of color design and full-color-gamut color matching of dye solutions, color masterbatches and inks in the textile, polymer material, and printing industries. Disclosed are a color formulation method and system based on a Munsell full-color-gamut gridded color mixing model. In the method, on the basis of actually acquired five primary colors, Arctic white and Antarctic black, methods for constructing a Munsell equatorial hue ring, a grayscale axis, an edge color block and an intermediate color block are sequentially provided, a hue system, a brightness system, a chroma system and a full-color-gamut gridded color mixing model are constructed, and color values and base color mixing concentrations of each color block are associated with grid point coordinate positions, such that when performing color formulation, a designer can directly acquire a mixing concentration ratio of each base color on the basis of a constructed digital chromatogram, and compared with existing color formulation methods based on experience and visual inspection, the present invention can greatly improve the color matching efficiency and color matching accuracy.

Description

Color matching method and system based on Munsell full color gamut gridding color mixing model TECHNICAL FIELD

[0001] The present application relates to a color matching method and system based on Munsell full color gamut gridding color mixing model, and relates to the theory and technology of color design and full color gamut matching of dye solution, color master batch and ink in the textile, polymer material and printing industry. BACKGROUND

[0002] The Munsell color system is also called Munsell color solid, which was founded by American artist A. Munsell in 1905, and uses numbers to accurately describe various colors. The color space of Munsell color solid has three dimensions of hue, value and chroma, which are called Munsell hue, Munsell value and Munsell chroma respectively.

[0003] Munsell hue is composed of five primary hues of red (R), yellow (Y), green (G), blue (B) and purple (P) and five intermediate hues of yellow red (YR), green yellow (GY), blue green (BG), purple blue (PB) and red purple (RP), and is arranged into an equatorial hue ring. Each hue is divided into 2 sub-hues, such as 1R and 2R, so that the hue is divided into 20 levels. Munsell value is based on north polar white (W) and south polar black (K) as the benchmark, and is divided into 11 value levels from black to white. Munsell chroma is arranged in an equal color difference manner for the defined hue and value, and a chroma increasing scale is obtained by repeatedly selecting samples that meet the requirements.

[0004] Color processing is completed through dyeing, coloring, printing and other processes. In the dyeing, printing and painting industries, pigments, dyes, inks, paints and colored fibers can be selected as colorants for color processing. Color control can be based on subtractive color mixing mode of liquid phase mixing or spatial juxtaposition color mixing mode of solid phase mixing. The carrier of coloring can be paper, fiber and fabric, inorganic material surface such as glass, and metal material surface. In order to carry out color design and processing, it is usually necessary to construct a suitable Munsell color solid and rely on the color information provided by it to guide the innovative design and digital processing of color.

[0005] The Munsell color solid presents an irregular ellipsoidal shape. Due to the lack of mathematical models and algorithms, the construction of Munsell color solid is still based on the experience and visual perception of color designers, and traditional theories and process methods are used. Due to the lack of mathematical tools and standardized process guidance, it is still a complex and difficult thing to construct Munsell color solid and apply it to color design. The main bottleneck problems of industrial application of Munsell color solid are as follows:

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

[0007] (2) Munsell color solid gives the definition of Munsell gray axis, but does not give the method of constructing Munsell gray axis model based on the north polar white (W) and south polar black (K) and other primary colors obtained from actual color materials;

[0008] (3) Munsell color solid defines the colorimetric level, but does not give the method of constructing the chroma system based on the hue ring and the gray axis;

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

[0010] (5) Munsell color solid theory does not give the method of obtaining the grid point mixing concentration based on the grid point coordinate value;

[0011] (6) Munsell color solid theory does not give the method of obtaining the grid point color value based on the grid point coordinate value;

[0012] (7) Munsell color solid theory does not give the method of constructing the full color gamut grid mixing color model of Munsell color solid based on the digital mixing of the measured color values and the mixing concentration of the red (R), yellow (Y), green (G), blue (B), purple (P), white (W), black (K) and other seven primary color materials;

[0013] (8) Munsell color solid theory does not give the method of constructing the full color gamut grid point color spectrum matrix of Munsell color solid and obtaining the isochromatic surface and the isoluminance surface color spectrum thereof.

[0014] SUMMARY

[0015] In order to solve the above problems, the present application provides a color matching method and system based on Munsell full color gamut grid mixing color model, and the technical solution is as follows:

[0016] The first object of the present application is to provide a color matching method, comprising:

[0017] Step one: obtaining the color values of the five primary colors and the north polar white and south polar black of Munsell color solid based on the actual color material color measurement, respectively represented as: 5R = [r 5R , g 5R , b 5R ], C 5Y = [r 5Y , g 5Y , b5Y ], C 5B = [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 ], a full gamut gridding color mixing model is constructed;

[0018] Step two: obtaining a target color from the full gamut gridding color mixing model, and obtaining the mixing concentration values of the five primary colors, the north polar white color and the south polar black color required for mixing the color according to the grid point coordinates of the target color in the model;

[0019] Step three: mixing the colorants of the five primary colors, the north polar white color and the south polar black color based on the mixing concentration values obtained in step two to obtain a target colorant;

[0020] The grid point coordinates of each color block in the full gamut gridding color mixing model are:

[0021] Wherein, θ(ξ), ρ(ξ, z, t), z respectively represent the polar angle, polar radius and height of the color block, and ξ represents the number of the 20 hues of the Munsell color solid, wherein 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 value of each color block in the full gamut gridding color mixing model is:

[0023] Wherein, each color block contains seven primary color mixing concentrations λ W , λ K , λ 5R , λ 5Y , λ 5G , λ 5B , λ 5P are:

[0024] Wherein, μ represents the lightness level, z # represents the height of the edge color block, and z represents the height of the color block, ρ# (ξ, z # ) represents the polar radius of the edge color block, p ∞ (ξ, z) represents the polar radius of the intermediate color block, z * (ξ) represents the height of the equatorial color block, λ α (ξ) and λ β (ξ) represent the mixing concentrations of two primary colors required to obtain a certain equatorial color block in a binary coupled color mixing mode, and are represented as:

[0025] wherein the height and polar radius of each color block are obtained through the Munsell color atlas.

[0026] Optionally, the construction method of the full-color gamut gridding color mixing model comprises:

[0027] Step 1: based on the actual color material, five primary colors of the Munsell color solid are obtained to construct the color phase system of the equatorial color phase ring;

[0028] The color phase system of the equatorial color phase ring [Φ * ] is represented as: [Φ * ] = [C * (ξ), θ * (ξ), p * (ξ), z * (ξ)] (ξ = 1, 2,..., 19, 20, 21)

[0029] wherein θ * (ξ), p * (ξ), z * (ξ) represent the polar angle, polar radius and height of the Munsell color solid grid point coordinates respectively, and C * (ξ) represents the color value corresponding to the 20 color phases of the equatorial color phase ring, and is represented as:

[0030] wherein 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 ],

[0031] C 5P = [r5P ,g 5P ,b 5P ] represent the color values of the five primary colors actually obtained, respectively;

[0032] The 20 hues of the equatorial hue ring are digitally mixed with five primary colors at mixing concentrations λ(ξ) = [λ 5R (ξ), λ 5Y (ξ), λ 5B (ξ), λ 5G (ξ), λ 5P (ξ)] in the following manner:

[0033] Step 2: Based on the actual acquisition of the north polar white color and the south polar black color, the Munsell color solid gray axis and its lightness system are constructed;

[0034] The lightness system is represented as:

[0035] wherein P O (0, 0, z) is the grid point coordinate of the 11 nodes on the gray axis, represents the color values of the 11 nodes on the gray axis, and is represented as:

[0036] wherein C w = (r w , g w , b w ), C k = (r k , g k , b k ) represent the color values of the north polar white color and the south polar black color actually obtained, respectively, and represent the mixing concentrations of the north polar white color and the south polar black color, respectively;

[0037] When μ = 0, is:

[0038] When μ = 1, 2,..., 9, 10, is:

[0039] Step 3: The Munsell chroma system is constructed;

[0040] The grid point coordinate values and color values of the edge color blocks of the Munsell color solid are:

[0041] wherein P # [θ # (ξ), ρ# (ξ,z # ),z # ] are the grid point coordinates of the edge color block, C # [θ # (ξ),ρ # (ξ,z # ),z # ] are the color values of the edge color block, expressed as:

[0042] wherein λ * (ξ,z # ) represents the mixing concentration of the equatorial color, λ o (ξ,z # ) represents the mixing concentration of the same lightness gray, expressed as:

[0043] When the lightness level z # of the edge color block and the equatorial color block lightness level z * (ξ) satisfy 0 < z # < z * (ξ), the equatorial color is coupled and mixed with the same lightness gray with mixing concentrations λ * (ξ,z # ) and λ o (ξ,z # ), then:

[0044] When the edge color block lightness level z # and the equatorial color lightness level z * (ξ) satisfy z * (ξ) < z # < 10, the equatorial color is coupled and mixed with the same lightness gray with mixing concentrations λ * (ξ,z # ) and λ o (ξ,z # ), then:

[0045] The grid point coordinate value of the intermediate color block of the Munsell color solid is:

[0046] The color value of the intermediate color block of the Munsell color solid is:

[0047] wherein the edge color block mixing concentration and the same level gray block mixing concentration are respectively:

[0048] Optionally, the step 1 firstly constructs five mixed color intervals based on five primary colors, and then constructs the equatorial hue ring by using a binary coupled mixed color mode.

[0049] Optionally, the color values of the north pole white color and the south pole black color satisfy r k ≈g k ≈b k ,r w ≈g w ≈b w .

[0050] Optionally, the step 2 constructs the gray scale axis by using a linear coupled or nonlinear coupled mixed color mode based on the color values of the north pole white color and the south pole black color.

[0051] Optionally, the method for constructing the gray scale axis by using the nonlinear coupled mixed color mode comprises:

[0052] Taking the weight of the white color material as ω w , the weight of the black color material as ω k , and ω w = ω k ; setting z=0, 1, 2,..., 9, 10, and η=1, 2,..., 9, 10, taking the discrete weight of ω w , ω k as ω Setting:

[0053] Coupling the mixed colors of ω and ω , setting the weight of the mixed sample as ω , and the mixed concentration as ω and ω , the coupled mixed color mode of the north pole white color and the south pole black color is as follows:

[0054] Thus, the mixed color concentration of the north pole white color and the south pole black color is obtained.

[0055] A second object of the present application is to provide a color matching system for implementing the color matching method according to any one of the above, the system comprising: a color measurement device, a full color gamut gridding mixed color model construction module, and a visualization module;

[0056] The color measurement device is used to obtain the color values of the five primary colors, the north pole white color, and the south pole black color of the Munsell color solid in the actual color material;

[0057] The full color gamut gridding mixed color model construction module comprises:

[0058] The color value acquisition module is configured to obtain the color values of the actual color material from the color measurement device;

[0059] The equator hue ring construction module is configured to construct an equator hue ring based on the actually acquired five main colors of the Munsell color solid, and give color values, position coordinate values and five main color mixing concentrations of each hue;

[0060] The gray axis construction module is configured to construct a gray axis based on the actually acquired north pole white color and south pole black color of the Munsell color solid, and give color values, position coordinate values and north pole white color and south pole black color mixing concentrations of each lightness node;

[0061] The chroma system construction module is configured to construct edge color blocks and intermediate color blocks of the Munsell color solid based on hue and lightness, and give color values, position coordinate values and equator color and same lightness level gray color mixing concentrations of each color block;

[0062] The visualization module is configured to display the model color spectrum, and output the mixing color concentrations of the five main colors, the north pole white color and the south pole black color corresponding to the grid point coordinate values of the target color.

[0063] A third object of the present application is to provide the application of the above-mentioned color matching method and / or color matching system in the color design of dye solution, color master batch and ink in the textile, polymer material and printing industry.

[0064] A fourth object of the present application is to provide a computer readable storage medium, characterized in that the storage medium stores a computer program, and when the computer program is executed by a processor, the color matching method as claimed in any one of the above is realized.

[0065] A fifth object of the present application is to provide an electronic device, characterized in that it comprises a memory and a processor.

[0066] The memory is used to store a computer program.

[0067] The processor is used to realize the color matching method as claimed in any one of the above when the computer program is executed.

[0068] The present application has the following advantages:

[0069] The application provides a Munsell color solid three-dimensional color model suitable for industrial color design, based on five main colors, north polar white and south polar black actually obtained, a full color gamut gridding color mixing model based on Munsell color solid is given, the color value and color mixing concentration value of each color block are given based on the grid point coordinates of the color block, in the application and color matching process, the designer can directly obtain the seven primary color mixing concentrations of the target color from the model, based on the color mixing concentration, the target colorant can be obtained by mixing the actual colorant, therefore, the color matching method of the application can be widely applied to the color design of dye solution, color master batch and ink in the textile, high polymer material and printing industry, 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.

[0070] Further, the application sequentially gives the method for constructing the Munsell equatorial hue ring, the gray axis, the edge color block and the intermediate color block, and sequentially constructs the hue system, the lightness system, the chroma system and the full color gamut gridding color mixing model in combination with the grid point coordinate value and the seven primary color mixing concentration, the color spectrum and the corresponding primary color mixing concentration can be exhibited through the visual module, and the color matching efficiency is further improved. BRIEF DESCRIPTION OF DRAWINGS

[0071] In order to more clearly illustrate the technical solutions in the embodiments of the application, the drawings needed to be used in the embodiment description will be briefly introduced, and obviously, the drawings in the following description are only some embodiments of the application, and other drawings can be obtained by those skilled in the art without any creative effort on the basis of these drawings.

[0072] Fig. 1 is a method flowchart for constructing the full color gamut gridding color mixing model facing the Munsell color solid of the application.

[0073] Fig. 2 is a non-linear mixing concentration variation curve diagram of the white color and the black color in different lightness levels of the application.

[0074] Fig. 3 is a method flowchart for obtaining the color value and the mixing concentration based on the Munsell color solid in the embodiment of the application. DETAILED DESCRIPTION

[0075] In order to make the object, technical solutions and advantages of the application more clear, the embodiments of the application will be further described in detail in combination with the drawings.

[0076] Embodiment one:

[0077] The embodiment provides a construction method of the full color gamut gridding color mixing model facing the Munsell color solid, and details the specific construction steps, mainly including the following contents:

[0078] (1) Constructing Munsell Equatorial Hue Ring and its hue system based on the five primary colors red(R), yellow(Y), green(G), blue(B) and purple(P) actually obtained.

[0079] 1. Constructing 5-primary color mixing model of equatorial hue ring

[0080] (1) Obtaining 5-primary color pigments of equatorial hue ring

[0081] Referring to the color values of the five primary colors 5R, 5Y, 5G, 5B and 5P of Munsell Equatorial Hue Ring, five primary color pigments corresponding to them are selected, and their weights are T 5R ,T 5Y ,T 5B ,T 5G ,T 5P , respectively. Their color values are measured as 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 ], respectively. The coordinates of the five primary colors 5R, 5Y, 5G, 5B and 5P in the equatorial hue ring are obtained by searching Munsell Color Atlas and combining with the actual situation, 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 ].

[0082] (2) Discretization of the weight of the primary color pigments of the equatorial hue ring 5

[0083] Let ε = 1, 2, 3, 4, 5, and:

[0084] (3) Construction of the binary coupled mixed color mode of the equatorial hue ring 5 primary colors

[0085] The five primary colors are combined into five mixed color intervals in the form of (5R~5Y), (5Y~5G), (5G~5B), (5B~5P), and (5P~5R) to perform the following binary coupled mixed color:

[0086] In the (5R~5Y) mixed color interval, let ε = 1, 2, 3, 4, and based on formula (1), T 5R and T 5Y are coupled with each other in the mixed concentration λ 5R (ε), λ 5Y (ε) to perform binary coupled mixed color, and each mixed sample color value is C 5R-5Y (ε), then: T 5R-5Y (ε) = T 5R ×(5-ε) / 4 + T 5Y ×(ε-1) / 4 (2)

[0087] In the (5Y~5B) mixed color interval, let ε = 1, 2, 3, 4, and based on formula (1), T 5Y and T 5B are coupled with each other in the mixed concentration λ 5Y (ε), λ 5B (ε) to perform binary coupled mixed color, and each mixed sample color value is C 5Y-5B (ε), then: T 5Y-5B (ε) = T 5Y ×(5-ε) / 4 + T 5B ×(ε-1) / 4 (5)

[0088] In the (5B~5G) mixed color interval, let ε = 1, 2, 3, 4, and based on formula (1), T 5B and T 5G are coupled with each other in the mixed concentration λ 5B (ε), λ 5G (ε) to perform binary coupled mixed color, and each mixed sample color value is C 5B-5G (ε), then: T 5B-5G (ε) = T 5R ×(5-ε) / 4 + T 5Y×(ε-1) / 4 (8)

[0089] In the (5G~5P) color mixing interval, let ε=1, 2, 3, 4, based on formula (1) T 5G and T 5P Binary coupled color mixing with mixing concentration λ 5G (ε), λ 5P (ε), each color mixing sample color value is C 5G-5P (ε), then: T 5G-5P (ε)=T 5G ×(5-ε) / 4+T 5P ×(ε-1) / 4 (11)

[0090] In the (5P~5R) color mixing interval, let ε=1, 2, 3, 4, based on formula (1) T 5P and T 5R Binary coupled color mixing with mixing concentration λ 5P (ε), λ 5R (ε), each color mixing sample color value is C 5P-5R (ε), then: T 5P-5R (ε)=T 5P ×(5-ε) / 4+T 5R ×(ε-1) / 4 (14)

[0091] (4) Equatorial hue ring color mixing model based on 5 primary colors

[0092] ①Munsell color solid 20 hue color mixing concentration

[0093] Let ξ=1, 2,..., 19, 20, 21; based on the 5 primary colors of Munsell color solid, digital mixing is carried out with mixing concentration λ(ξ)=[λ 5R (ξ), λ 5Y (ξ), λ 5B (ξ), λ 5G (ξ), λ 5P (ξ)], 20 hues of Munsell color solid are obtained, and based on formulas (2)~(16), the mixing concentrations corresponding to the 20 hues are:

[0094] Or:

[0095] Wherein, ξ = 1 and ξ = 21 represent the same hue (representing a cycle).

[0096] 2. The mixed weight of 20 hues of Munsell color solid

[0097] Based on formula (2) ~ (16), let ξ = 1, 2,..., 19, 20, 21, then the weight T of the pigment corresponding to the grid point of 20 hues of Munsell equatorial hue ring * (ξ) is:

[0098] 3. The color value of 20 hues of Munsell color solid

[0099] Based on formula (2) ~ (16), let ξ = 1, 2,..., 19, 20, 21, then the color value C of 20 hues of Munsell equatorial hue ring * (ξ) is:

[0100] 2. Construction of the hue system of Munsell equatorial hue ring

[0101] The hue system of Munsell equatorial hue ring refers to the coordinate value and color value corresponding to 20 hues of equatorial hue ring.

[0102] (1) The coordinate value of 20 hues of equatorial hue ring

[0103] Let ξ = 1, 2,..., 19, 20, 21, then the coordinate value of 20 hues of equatorial hue ring is respectively denoted as polar angle θ * (ξ) = (ξ-1) × 18°, polar radius ρ * (ξ), height z * (ξ), then the equator C * {θ * (ξ), ρ * (ξ), z * (ξ)} in Munsell color solid is as follows: P * [θ * (ξ), ρ * (ξ), z * (ξ)] = [(ξ-1) × 18°, ρ * (ξ), z * (ξ)] (25)

[0104] The polar radius ρ * (ξ) and height z * (ξ) corresponding to each equator in formula (25) need to be determined 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.

[0105] (2) Obtaining the 20 hue values ​​of the Munsell equatorial hue wheel

[0106] 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:

[0107] (3) The hue system of the equatorial hue ring

[0108] Based on equations (25) and (26), the hue system of the Munsell equatorial hue ring [Φ] can be obtained. * As follows: [Φ * ] = [C * (ξ),θ * (ξ),ρ * (ξ),z * (ξ)] (ξ=1,2,...,19,20,21) (27)

[0109] 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 the height z * (ξ), thereby obtaining an equatorial hue ring hue system constructed by 20 hue values and coordinate values, as shown in Table 1.

[0110] Table 1. Hue system of equatorial hue ring

[0111] (ii) Based on the actual north pole white and south pole black obtained by the colorant, the Munsell gray axis and its brightness system are constructed.

[0112] 1. Construction of digital color mixing mode based on north pole white and south pole black and acquisition of color values of each node

[0113] (1) Acquisition of north pole white and south pole black and layout of gray axis nodes

[0114] Based on the actual colorant acquisition and the highest brightness gray and the lowest brightness gray corresponding to the north pole white and the south pole black of the Munsell gray axis, the color values of the north pole white and the south pole black are obtained by the colorimeter C w =(r w ,g w ,b w ), C k =(r k ,g k ,b k ), wherein r k ≈g k ≈b k ,r w ≈g w ≈b w . The vertical axis connecting the south pole block and the north pole block is the gray axis, and 11 grid points are equally distributed on the gray axis corresponding to 11 brightness levels. Then the coordinate values and color values of the 11 nodes on the gray axis can be expressed as follows:

[0115] (2) Construction of coupling color mixing mode of south pole black and north pole white

[0116] The coupling color mixing of the south pole black and the north pole white can be carried out by linear coupling or nonlinear coupling color mixing mode.

[0117] ① Construction of linear coupling color mixing mode of south pole black and north pole white

[0118] Take the weight of white colorant and black colorant as ω w ,ω k and ω w =ω k ; z=0,1,2,...,9,10, take the discrete weight of ω w ,ω k Let:​

[0119] 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:

[0120] ② Construction of a nonlinear coupled color mixing mode for Antarctic black and Arctic white

[0121] 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:

[0122] 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:

[0123] 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:

[0124] (3) Obtaining the color value and blending density corresponding to each node of the grayscale axis

[0125] Let the color values ​​of gray be 11 lightness levels on the grayscale axis. for:

[0126] When μ = 0, for:

[0127] When μ = 1, 2, ..., 9, 10, for:

[0128] According to formula (36), (37) when μ = 0, 1,..., 9, 10, the mixed concentration variation curves of the south white and north black can be obtained as shown in Figure 2.

[0129] (Three) based on the actual acquisition of seven primary colors, seven primary color grid mixed configuration to build Munsell chroma system.

[0130] Munsell color cube chroma system has 20 isochromatic phase surface colors, 11 equal brightness surfaces, and 678 color blocks. In the "Munsell Color Atlas", the hue level, brightness level and chroma level of the 678 color blocks are recorded, and the coordinate values of the 678 color blocks can be obtained through the hue level, brightness level and chroma level of each color block.

[0131] Based on the equatorial hue ring and the gray axis constructed as described above, the color values of 20 equatorial color blocks, 1 south pole color block and 1 north pole color block can be obtained, and the color values of 160 edge color blocks, 487 intermediate color blocks and 9 gray color blocks still need to be obtained. At this time, according to the color values of the 20 equatorial color blocks, 1 south pole color block and 1 north pole color block and the position coordinates of all 678 color blocks, the color values of the 160 edge color blocks and 487 intermediate color blocks can be obtained. By obtaining the color values of all grid points, the chroma system of Munsell color cube is constructed.

[0132] 1. Obtaining the coordinate values of the 678 color blocks of Munsell color cube

[0133] In the "Munsell Color Atlas", the levels of a total of 678 color blocks on 20 isochromatic phase surfaces and 11 equal brightness surfaces are recorded, as shown in Table 2.

[0134] Table 2 Munsell chroma levels based on hue and brightness levels

[0135] Based on the data in Table 2, the coordinate values of the 180 color blocks located on the outer surface of the Munsell color cube can be obtained, which are listed in Table 3.

[0136] Table 3 Coordinate values of each color block of Munsell color cube

[0137] Based on Table 3, for the 20-hue Munsell color cube, according to the hue angle θ(ξ) = 18°(ξ-1)(ξ = 1, 2,..., 19, 20, 21) value, the coordinate values of all 678 color blocks can be obtained by looking up Table 3, assuming that the polar radius of each color block is ρ(ξ) and the height is z(ξ). Then the coordinate values of all color blocks can be expressed as:

[0138] 2. Obtaining the coordinate values and color values of the edge color blocks of Munsell color cube

[0139] Let the hue angle of the coordinate value of the edge color block be θ # (ξ)(ξ = 1, 2,..., 19, 20, 21), and the height be z # = 1, 2,..., 8, 9, and the polar radius be p # (ξ, z # ); the polar radius of the 9 gray color block coordinate values on the gray axis with the same height as the edge color block is zero, the hue angle is zero, and the height is equal to the edge color height; the coordinates and color values of the gray axis node corresponding to the edge color block can be obtained based on formula (38) and can be expressed as:

[0140] Wherein:

[0141] The chroma level p # (ξ, z # ) corresponding to each edge color block can be retrieved from Table 3

[0142] For different edge color blocks distributed above and below the equator color of the Munsell color solid, different formulas are needed to obtain the color values of the edge color. Generally, the equator color is first coupled with the north pole color (the brightest white color) or the south pole color (the darkest black color) to mix colors, the corresponding mixing concentration is obtained based on the difference in lightness level, and then the color value of the gray color with the same lightness level as the edge color block is replaced with the color value of the north pole color (the brightest white color) or the south pole color (the darkest black color) to mix colors, thereby obtaining the color values of each edge color block on the Munsell color solid. The specific process is as follows:

[0143] (1) Obtaining the mixing concentration of the lower half edge color block of the Munsell color solid

[0144] When the lightness level z # of the edge color block and the lightness level z * (ξ) of the equator color block satisfy 0 < z # < z * (ξ), the equator color is coupled with the gray color with the same lightness level to mix colors with mixing concentrations λ * (ξ, z # ) and λ o (ξ, z # ), then:

[0145] 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.

[0146] (2) Obtaining the mixing concentration of the edge color blocks in the upper half of the Munsell color solid

[0147] 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:

[0148] (3) Obtaining the color values ​​of the edge color blocks of the Munsell solid color

[0149] 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:

[0150] 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:

[0151] 3. Obtaining the coordinates and color values ​​of the intermediate color blocks in a Munsell color solid

[0152] 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.

[0153] (1) Obtaining the coordinates of the intermediate color blocks in the Munsell color solid

[0154] 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:

[0155] (2) Obtaining the color values ​​of the intermediate color blocks in the Munsell color solid

[0156] Based on equation (46), the color value of the intermediate color block can be obtained as follows:

[0157] 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 ∞ ]。

[0158] Let be the edge color block mixing concentration, be the same level gray color block mixing concentration. Then:

[0159] The edge color block and the same level gray color block coupling color mixing to obtain the intermediate color block color value is as follows:

[0160] Substitute the edge color block C # [θ # (ξ),ρ # (ξ,z # ),z # ] in formula (46) and the medium light gray color block in formula (38) into formula (49) to obtain the intermediate color block color value C # [θ # (ξ),ρ # (ξ,z # ),z # ] as follows:

[0161] (Four) Faced Munsell color cube, based on seven primary color grid mixing, and grid point coordinates to obtain the full color gamut grid point color value and its mixing concentration, full color gamut grid mixing model is constructed for Munsell color cube.

[0162] 1. The coordinate value corresponding to each color block of Munsell color cube

[0163] Let ξ = 1, 2,..., 20, 21, in the isochromatic plane with hue angle θ(ξ) = 18° × (ξ-1), the height of each color block is z(z = 0, 1,..., 9, 10), the polar radius is ρ(ξ,z), the polar radius of the corresponding edge color block is ρ # (ξ,z), then the coordinate value of any color block in Munsell color cube can be uniformly expressed as:

[0164] 2. Method for obtaining full color gamut grid point mixing weight based on grid point coordinates

[0165] Given any grid point P χ [θ(ξ),ρ(ξ,z,t),z] = [θ(ξ),ρ(ξ,z,t),z] in Munsell color cube, the corresponding weight is T X [θ(ξ),ρ(ξ,z,t),z]. In the isochromatic plane with hue angle θ(ξ)(ξ = 1, 2,..., 20, 21), the weight of white color material is TW , the weight of black colorant is T K , the weight of gray colorant is The weight of equatorial color colorant is T * (ξ)(ξ = 1, 2, …, 20, 21), and:

[0166] Then the grid point P χ The mixed weight T X [θ(ξ), ρ(ξ, z, t), z] is:

[0167] Since Substituting equation (53) gives:

[0168] When 0 < z < z * (ξ), and

[0169] When z * (ξ) < z < 10,

[0170] Wherein:

[0171] 3. A method for obtaining the mixed concentration of the grid points in the full color gamut based on the coordinates of the grid points

[0172] The five primary colors on the equatorial ring of the Munsell color solid and the south and north polar colors on the gray axis are the seven primary colorants obtained, and other grid points can obtain the mixed sample of the corresponding grid point by mixing the seven primary colorants. The mixed concentration of the seven primary colorants in the mixed sample can be determined according to the coordinate value of the grid point, and the color value of the mixed sample can be obtained by the weighted sum of the color values of the seven primary colors with the mixed concentration as the weight.

[0173] Equation (58) gives the weight T χ (ξ, ρ, z) = [θ(ξ), ρ(ξ, z, t), z] of the grid point corresponding to the coordinates P X [θ(ξ), ρ(ξ, z, t), z], and according to the following value range of λ(ξ) in equation (22):

[0174] Let z = 0, 1, …, 9, 10, then the mixed concentration λ W , λ K , λ 5R , λ 5Y , λ 5G , λ 5B , λ 5PAs follows:

[0175] 4. A method for obtaining full gamut grid point color values based on seven primary color values and grid point concentrations

[0176] According to the grid point coordinates P in the above-mentioned Munsell color solid χ [θ(ξ),ρ(ξ,z,t),z] can be set as 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}] and combined with formula (59), the color values of each color block in the Munsell color solid can be expressed as formula (60).

[0177] In the formula, λ W , λ K , λ 5R , λ 5Y , λ 5G , λ 5B , λ 5P See formula (59) for details.

[0178] Through the division of 20 hue levels, 11 lightness levels and a maximum of 14 saturation levels in the Munsell color solid, a total of 678 grid points and their corresponding effective color blocks are obtained; formula (51) gives the grid point coordinates corresponding to the 678 grid points; formula (58) gives the weight of the corresponding mixture sample obtained based on the 678 grid point coordinate values; formula (59) gives the mixing concentration of the corresponding mixture sample obtained based on the 678 grid point coordinate values; and formula (60) gives the grid point color values corresponding to the 678 grid points obtained based on the seven primary color values and their mixing concentrations.

[0179] (V) Mixing concentration values obtained based on the isohue surface of the Munsell color solid

[0180] Table 4: Three-primary color mixing concentrations of the isohue surface with a hue of 5R

[0181] Table 5: Three-primary color mixing concentrations of the isohue surface with a hue of 10R

[0182] Table 6: Three-primary color mixing concentrations of the isohue surface with a hue of 5YR

[0183] Table 7: Three-primary color mixing concentrations of the isohue surface with a hue of 10YR

[0184] Table 8 Equal hue plane tristimulus mixtures for a hue of 5Y

[0185] Table 9 Equal hue plane tristimulus mixtures for a hue of 10Y

[0186] Table 10 Equal hue plane tristimulus mixtures for a hue of 5GY

[0187] Table 11 Equal hue plane tristimulus mixtures for a hue of 10GY

[0188] Table 12 Equal hue plane tristimulus mixtures for a hue of 5G

[0189] Table 13 Equal hue plane tristimulus mixtures for a hue of 10G

[0190] Table 14 Equal hue plane tristimulus mixtures for a hue of 5BG

[0191] Table 15 Equal hue plane tristimulus mixtures for a hue of 10BG

[0192] Table 16 Equal hue plane tristimulus mixtures for a hue of 5B

[0193] Table 17 Equal hue plane tristimulus mixtures for a hue of 10B

[0194] Table 18 Equal hue plane tristimulus mixtures for a hue of 5PB

[0195] Table 19 Equal hue plane tristimulus mixtures for a hue of 10PB

[0196] Table 20 Equal hue plane tristimulus mixtures for a hue of 5P

[0197] Table 21 Equal hue plane tristimulus mixtures for a hue of 10P

[0198] Table 22 Equal hue plane tristimulus mixtures for a hue of 5RP

[0199] Table 23 Equal hue plane tristimulus mixtures for a hue of 10RP

[0200] (VI) Construction of Munsell color solid isochromatic surface color value matrix

[0201] The plane made by a certain equatorial hue point and the gray axis of the Munsell color solid is called an isochromatic surface. The hue angles of all grid points on the isochromatic surface are equal. The Munsell color solid with 20 hues has 20 isochromatic surfaces. Based on equation (60), the 20 isochromatic surface color matrices can be constructed as follows, with the grid point coordinates as the row numbers:

[0202] The isochromatic surface color block matrix with hue 5R in the Munsell color system is:

[0203] The isochromatic surface color block matrix with hue 10R in the Munsell color system is:

[0204] The isochromatic surface color block matrix with hue 5YR in the Munsell color system is:

[0205] The isochromatic surface color block matrix with hue 10YR in the Munsell color system is:

[0206] The isochromatic surface color block matrix with hue 5Y in the Munsell color system is:

[0207] The isochromatic surface color block matrix with hue 10Y in the Munsell color system is:

[0208] The isochromatic surface color block matrix with hue 5GY in the Munsell color system is:

[0209] The isochromatic surface color block matrix with hue 10GY in the Munsell color system is:

[0210] The isochromatic surface color block matrix with hue 5G in the Munsell color system is:

[0211] The isochromatic surface color block matrix with hue 10G in the Munsell color system is:

[0212] The isochromatic surface color block matrix with hue 5BG in the Munsell color system is:

[0213] The isochromatic surface color block matrix with hue 10BG in the Munsell color system is:

[0214] The isohue face color block matrix in Munsell color system with hue 5B is:

[0215] The isohue face color block matrix in Munsell color system with hue 10B is:

[0216] The isohue face color block matrix in Munsell color system with hue 5PB is:

[0217] The isohue face color block matrix in Munsell color system with hue 10PB is:

[0218] The isohue face color block matrix in Munsell color system with hue 5P is:

[0219] The isohue face color block matrix in Munsell color system with hue 10P is:

[0220] The isohue face color block matrix in Munsell color system with hue 5RP is:

[0221] The isohue face color block matrix in Munsell color system with hue 10RP is:

[0222] (VII) Construction of Munsell color solid is-value face color value matrix

[0223] The is-value face color block color matrix C1(ξ,ρ,z) in Munsell color system with value 1 is: C1(ξ,ρ,z)=[C(0,0,0)] (81)

[0224] The is-value face color block color matrix C2(ξ,ρ,z) in Munsell color system with value 2 is:

[0225] The is-value face color block color matrix in Munsell color system with value 3 is:

[0226] The is-value face color block color matrix in Munsell color system with value 4 is:

[0227] The is-value face color block color matrix in Munsell color system with value 5 is:

[0228] The is-value face color block color matrix C6(ξ,ρ,z) in Munsell color system with value 6 is:

[0229] The color matrix of the equal-brightness surface color block with a lightness of 7 in the Munsell color system is:

[0230] The color matrix of the equal-brightness surface color block with a lightness of 8 in the Munsell color system is:

[0231] The color matrix of the equal-brightness surface color block with a lightness of 9 in the Munsell color system is:

[0232] The color matrix of the equal-brightness surface color block with a lightness of 10 in the Munsell color system is:

[0233] The color matrix of the equal-brightness surface color block with a lightness of 11 in the Munsell color system is: 11 (ξ,ρ,z)]=[C(0,0,11)] (91)

[0234] Example Two: Based on the actual preparation of red (R), yellow (Y), green (G), blue (B), purple (P) and other five primary color pigments, and testing to obtain their color values, a 20-hue Munsell equatorial hue ring is constructed as follows:

[0235] Select five pigments red (R), yellow (Y), green (G), blue (B), and purple (P), and weigh them, respectively, as T 5R ,T 5Y ,T 5G ,T 5B ,T 5P , and T 5R = T 5Y = T 5G = T 5B = T 5P , and measure their color values as C 5R =(154,69,68); C 5Y =(238,182,0); C 5G =(0,123,93); C 5B =(58,77,103); and C 5P =(87,63,67). Coupling and mixing the adjacent colors of the five pigments in turn with a gradient of 25% can obtain the RGB color values of the 20-hue color ring as follows:

[0236] Table 24 RGB color values of the 20-hue ring

[0237] Example Three: Based on the actual preparation of polar white and polar black pigments and testing to obtain their color values, a Munsell gray axis is constructed as follows:

[0238] Select black and white materials, and weigh them respectively as T K ,T W , and T K = T W , the color values of the north polar white and south polar black are C w =(236, 235, 228) and C k =(65, 66, 68) respectively by the colorimeter. The vertical axis connecting the south polar color block and the north polar color block is the gray axis, and 11 grid points corresponding to 11 lightness levels are equally distributed on the gray axis. Assuming that the weight of the gray color block is T O , the RGB color values of the black and white on the gray axis in linear coupling and nonlinear coupling mixing are as follows:

[0239] Table 25 RGB color values of the gray axis

[0240] Example four: based on the constructed 20-hue Munsell equatorial hue ring and the gray axis, the five primary color isochromatic faces of the Munsell color solid are constructed as follows:

[0241] The RGB color value matrix of the color block with hue 5R in the Munsell color system isochromatic face is:

[0242] The RGB color value matrix of the color block with hue 5Y in the Munsell color system isochromatic face is:

[0243] The RGB color value matrix of the color block with hue 5G in the Munsell color system isochromatic face is:

[0244] The RGB color value matrix of the color block with hue 5B in the Munsell color system isochromatic face is:

[0245] The RGB color value matrix of the color block with hue 5P in the Munsell color system isochromatic face is:

[0246] Example five: based on the isochromatic faces of the Munsell color solid, the mixing concentrations of each grid point on the five primary color isochromatic faces are obtained as follows:

[0247] According to the position coordinates of the color blocks in the isochromatic faces of the Munsell color solid, the mixing concentrations of each grid point on the five primary color isochromatic faces are obtained as shown in Tables (26)-(30):

[0248] Table 26 Three primary color mixing concentrations of the isochromatic face with hue 5R

[0249] Table 27: Equal hue plane tristimulus mixture concentrations for a hue of 5Y

[0250] Table 28: Equal hue plane tristimulus mixture concentrations for a hue of 5G

[0251] Table 29: Equal hue plane tristimulus mixture concentrations for a hue of 5B

[0252] Table 30: Equal hue plane tristimulus mixture concentrations for a hue of 5P

[0253] Example Six: Equal value plane based on the Munsell color solid. The mixture concentrations for each grid point on the 6th equal value plane are as follows:

[0254] Table 31: Mixture concentrations for each grid point on the 6th equal value plane

[0255] Example Seven: Equal value plane based on the Munsell color solid. The color values for each grid point on the 6th equal value plane are as follows:

[0256] Table 32: RGB color values for each grid point on the 6th equal value plane

[0257] Some of the steps in the embodiments of the present application can be implemented using software, and the corresponding software programs can be stored in a readable storage medium, such as an optical disc or a hard disk, etc.

[0258] The above description is merely preferred embodiments of the present application, and is not intended to limit the present application. Any modification, equivalent replacement, improvement, etc. made within the spirit and principle of the present application shall be included in the protection scope of the present application.

Claims

1. A color formulation method characterized by, The method comprises: Step one: based on the actual color measurement color acquisition Munsell color cube five kinds of main color, north pole white and south pole black color value, respectively expressed as: 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 ]、C w =[r w ,g w ,b w ],C k =[r k ,g k ,b k ],Construction of full color domain grid mixing model; Step 2: obtaining a target color from the full-color gamut gridding color mixing model, and obtaining the mixing concentration values of the five primary colors, the north pole white color and the south pole black color required for mixing the color according to the grid point coordinates of the target color in the model; Step 3: mixing the color materials of the five primary colors, the north pole white color and the south pole black color based on the mixing concentration values obtained in step 2 to obtain a target color material; The grid point coordinates of each color block in the full-color gamut gridding color mixing model are: wherein θ(ξ), ρ(ξ, z, t), z represent the polar angle, the polar radius and the height of the color block, respectively, and ξ represents the number of the Munsell color solid 20-hue, wherein ξ = 1 and ξ = 21 represent the same color block, ρ(ξ, z) represents the polar radius of the edge color block. # (ξ, z) represents the polar radius of the edge color block; The color value of each color block in the full-color gamut gridding color mixing model is: wherein each color block contains seven primary color mixing concentrations λ W , λ K , λ 5R , λ 5Y , λ 5G , λ 5B , λ 5P are: 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: Wherein, the height of each color block and the polar radius are obtained through the Munsell color atlas.

2. The color formulation method of claim 1, wherein, The construction method of the full-color gamut gridding color mixing model comprises: Step 1: based on the actual color materials, obtaining the five primary colors of the Munsell color solid, and constructing the hue system of the equatorial hue ring; The hue system [Φ * ] of the equatorial hue circle is represented as: [Φ * ]=[C * (ξ),θ * (ξ),ρ * (ξ),z * (ξ)] (ξ=1,2,...,19,20,21) where θ * (ξ), ρ * (ξ), z * (ξ) represent the polar angle, polar radius and height of the Munsell color solid grid point coordinates respectively, C * (ξ) represents the color value corresponding to the 20 hues of the equatorial hue ring, expressed as: wherein 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 ] respectively represent the color values of the five primary colors actually acquired; The 20 hues of the equatorial hue circle are digitally mixed in five primary colors in mixed concentrations λ(ξ) = [λ 5R (ξ), λ 5Y (ξ), λ 5B (ξ), λ 5G (ξ), λ 5P (ξ)] = [λ Step 2: based on the actual color materials, obtaining the north pole white color and the south pole black color, and constructing the gray axis and the lightness system of the Munsell color solid; The lightness system is represented as: where P O (0,0,z) are the coordinates of the grid points of the 11 nodes on the gray scale axis, Color values representing the 11 nodes on the gray scale axis, expressed as: where C w = (r w , g w , b w ), C k = (r k , g k , b k ) respectively represent the color values of the actual acquired north white and south black colors, and respectively represent the mixing concentration of the north pole white color and the south pole black color; When μ = 0, For: when μ = 1, 2,..., 9, 10, For: Step 3: constructing the Munsell chroma system; The grid point coordinate values and color values of the edge color blocks of the Munsell color solid are: where P # [θ # (ξ), ρ # (ξ, z # ), z # ] are the grid point coordinates of the edge color block, C # [θ # (ξ), ρ # (ξ, z # ), z # ] are the color values of the edge color block, expressed as: where λ * (ξ,z # ) represents the mixed concentration of equatorial color, λ o (ξ,z # ) represents the mixed concentration of the same lightness level gray color, and is represented by when the edge patch has a lightness level z # and the equatorial patch has a lightness level z * (ξ) satisfies 0 < z # < z * (ξ), the equatorial color is coupled with the same lightness level gray at a mixing concentration λ * (ξ, z # ) and λ o (ξ, z # ), then: When the edge patch luminance level z # The equatorial color is coupled with the equiluminous gray at a mix density λ * (ξ) < z * (ξ) < z # When z < 10, the equatorial color is coupled with the equiluminous gray at a mix density λ * (ξ, z # ) and λ o (ξ, z # ) are coupled mix colors, then: The grid point coordinate values of the middle color block of the Munsell color solid are: The color value of the middle color block of the Munsell color solid is: wherein the edge patch mix concentration and the same grade gray block mixing concentration respectively:

3. The color formulation method of claim 1, wherein The step 1 first constructs five color mixing intervals based on the five primary colors, and then constructs the equatorial hue ring by using a binary coupled color mixing mode.

4. The color formulation method of claim 1, wherein The color values of the north white and south black satisfy r k ≈g k ≈b k ,r w ≈g w ≈b w .

5. The color formulation method of claim 1, wherein The step 2 constructs the gray axis by using a linear coupled or nonlinear coupled color mixing mode based on the color values of the north pole white color and the south pole black color.

6. The color formulation method of claim 5, wherein, The method for constructing the gray axis by using the nonlinear coupled color mixing mode comprises: Take the white color material weight ω w , black color material weight ω k , ω w = ω k ; Set z = 0, 1, 2, …, 9, 10, η = 1, 2, …, 9, 10, take ω w , ω k The discrete weight of ω Let Will With Coupling color mixing is carried out, and the weight of the mixed sample is set as The mixing concentration is and The coupling of black in the south pole and white in the north pole is as follows: Thus, the color mixing concentration of the north pole white color and the south pole black color is obtained.

7. A color formulation system characterized by, The system for implementing the color mixing method of any one of claims 1-6 comprises a color measurement device, a full-color gamut gridding color mixing model construction module and a visualization module; The color measurement device is used to obtain the color values of the five primary colors, the north pole white color and the south pole black color of the Munsell color solid in the actual color materials; The full-color gamut gridding color mixing model construction module comprises: A color value acquisition module configured to obtain the color values of the actual color materials from the color measurement device; An equatorial hue ring construction module configured to construct the equatorial hue ring based on the five primary colors of the Munsell color solid actually obtained, and give the color values, position coordinate values and mixing concentration of the five primary colors of each hue; A gray axis construction module configured to construct the gray axis based on the north pole white color and the south pole black color of the Munsell color solid actually obtained, and give the color values, position coordinate values and mixing concentration of the north pole white color and the south pole black color of each lightness node; A chroma system construction module configured to construct the edge color block and the intermediate color block of the Munsell color solid based on the hue and lightness, and give the color values, position coordinate values and mixing concentration of the equatorial color and the gray color of the same lightness level of each color block; A visualization module configured to display the model color spectrum, and output the color mixing concentration corresponding to the five primary colors, the north pole white color and the south pole black color based on the grid point coordinate values of the target color.

8. The application of the color mixing method of any one of claims 1-6 and / or the color mixing system of claim 7 in the color design of dye solution, color master batch and ink in the textile, polymer material and printing industry.

9. A computer-readable storage medium, characterized in that, The storage medium stores a computer program, and when the computer program is executed by the processor, the color mixing method of any one of claims 1 to 6 is realized.

10. An electronic device, comprising: It comprises a memory and a processor; The memory is used to store a computer program; The processor is configured to implement the color matching method according to any one of claims 1 to 6 when executing the computer program.

Images