CN112347683B

CN112347683B - Construction and application of color fiber six-dimensional color mixing space grid model and grid point array chromatogram

Info

Publication number: CN112347683B
Application number: CN202011372178.0A
Authority: CN
Inventors: 薛元; 崔鹏; 孙显强
Original assignee: Jiangnan University
Current assignee: Jiangnan University
Priority date: 2020-11-30
Filing date: 2020-11-30
Publication date: 2021-08-10
Anticipated expiration: 2040-11-30
Also published as: WO2022110587A1; CN112347683A

Abstract

The invention relates to a color fiber six-dimensional color mixing space grid model and grid point array chromatogram construction and application, aiming at appointed six-primary color fibers, a coordinate digital quantization process is introduced, the six-primary color fibers respectively correspond to each coordinate axis of a six-dimensional coordinate system, the quality of the primary color fibers participating in mixing is taken as coordinate axis data, a mixed yarn object of the six-primary color fibers is obtained by each grid point of the six-dimensional coordinate system space, thereby combining the mixing ratio of each primary color fiber and the RGB color of each primary color fiber to realize RGB color modeling of the mixed yarn object, namely forming a six-dimensional color mixing grid color mixing space grid point array model, further realizing the construction of a linear array model, an area array model and a volume array model, realizing digital quantization aiming at the RGB color mixing space under the mixing of the six-primary color fibers, and randomly calling each group of models to realize color visualization in practical application, the efficiency of color analysis and selection is effectively improved.

Description

Construction and application of color fiber six-dimensional color mixing space grid model and grid point array chromatogram

Technical Field

The invention relates to construction and application of a color fiber six-dimensional color mixing space grid model and a grid point array chromatogram, belonging to the technical field of color mixing space grid construction.

Background

The colored fiber with different color effects can be obtained by technical means of dyeing, stock solution coloring, biological transgenosis, structural color generation and the like of textile fiber materials, colored spun yarns with certain color can be obtained by carrying out color mixing spinning on the six fibers with different colors according to a certain proportion, and theoretically, factors such as the primary color, the mixing proportion, the mixing mode, the structure of formed yarns and the like of the blended fiber have great influence on the hue, the lightness and the saturation of the colored spun yarns. The colored spun yarn is spun by utilizing the color mixing of the dyed fiber with multiple primary colors or the dope-dyed fiber, and the hue, the lightness and the saturation of the colored spun yarn are regulated and controlled by changing the proportion of the primary color fiber, so that the method is a necessary means for designing and realizing the colored spun yarn.

The production of the colored spun yarn needs to complete the color design, specification design and spinning process design of the colored spun yarn. In the color design of the colored spun yarn, the following six working procedures are generally available: (1) the color of the yarn is innovated based on the prior color system, and the colored yarn is developed. At the moment, a plurality of colored fibers in a warehouse need to be combined differently and mixed color spinning needs to be carried out according to different proportions, and a plurality of color matching schemes are selected from the serialized colored yarns in the trial spinning as new products for market promotion; (2) and (4) selecting a color system based on popular colors or personal preferences of designers to carry out yarn color innovation and develop the colored yarn. At the moment, a designer selects a plurality of groups of basic color systems for fiber dyeing according to the understanding and imagination of the color, the plurality of groups of color fibers selected by the designer are combined differently and mixed color spinning is carried out according to different proportions, and a plurality of color matching schemes are selected from the serialized color yarns of the trial spinning as new products for market promotion; (3) and (5) carrying out color copying based on the sample to develop the colored yarn. On the basis of analyzing the sample, determining which color fibers are adopted to carry out color mixing spinning according to the geometric proportion? And (4) giving the test spinning colored spun yarn sample to a client for confirmation, and determining the colored spun yarn color matching scheme after a plurality of rounds.

The core technology for producing colored spun yarns or colored yarns is a color matching scheme of optimized colored yarns, and yarn color innovation is carried out based on the existing color system, yarn color innovation is carried out based on the color system selected by personal preference of a designer, or color duplication is carried out based on a sample, so that the change rules of color hue, brightness and saturation are required to be familiar, subtle differences among colors are required to be perceived sensitively, and the color matching skill of the colored yarns is required to be mastered.

At present, the design of a color matching scheme is mainly carried out by depending on personal experience and intuition of a designer, the completion of the color matching process mainly depends on manual sample preparation, manual dyeing and manual color matching, and the evaluation of the color matching result mainly depends on the observation of a real sample on the spot and the evaluation depends on subjective feeling. The color mixing process of the colored fibers is a pigment color mixing process and belongs to color space juxtaposition color mixing.

Colors in existing color systems can be scaled by R, G, B values in the color mixing space, so that any color can be represented by a certain vector in the color mixing space. If the color a (R) is to be changed_a、G_a、B_a)、b(R_b、G_b、B_b)、b(R_b、G_b、B_b)、d(R_d、G_d、B_d) Color blending can obtain color value m (R) of a blended color sample_m、G_m、B_m) Then the color value R of the mixed color sample_m＝R_a+R_b+R_c+R_d、G_m＝G_a+G_b+G_c+G_d、B_m＝B_a+B_b+B_c+B_dThis corresponds to an operation of summing up vectors in a color mixture space. Since the color and the color mixture can be expressed digitally, the color mixture process of the colored fiber can also be expressed digitally. Based on the above analysis, we consider that the following problems mainly exist in the conventional color matching method:

1. the color mixing process of the color fibers is a pigment color mixing process, a digital physical model is not established in the traditional color mixing method to express the color mixing process of the color fibers, and the physical model needs to be established and the color mixing process of the color fibers needs to be digitally expressed;

2. the color mixing process of the color fiber is to select several color fibers as basic colors and obtain a series of chromatograms by changing the blending ratio. In the traditional color matching method, a mixed color sample is manufactured by hand proofing, a digital method for solving the color value of a mixed color body based on a base color value and mixed color proportion change is not established, a color fiber discrete mixed color model and a visualization algorithm of a mixed color chromatogram thereof need to be established, and digital virtual color matching of color yarns is realized;

3. the series chromatogram can be obtained by the color matching process of the colored fiber. The traditional color matching method adopts manual sampling to obtain color matching chromatograms, and is low in efficiency, long in time consumption and inconvenient for remote transmission. A standard color mixing chromatogram formed by combining and mixing eight primary colors of red, green, blue, cyan, blue, magenta, black, white and the like is required to be constructed, and a reference basis is provided for color matching of the colored yarns;

disclosure of Invention

The invention aims to solve the technical problem of providing a color fiber six-dimensional mixed color space grid model and a grid point array color matrix construction method thereof, aiming at the specified six-primary-color fiber, a coordinate digital quantization process is introduced, and the visualization of the six-primary-color RGB mixed color space color is realized.

The invention adopts the following technical scheme for solving the technical problems: the invention designs a color fiber six-dimensional color mixing space grid model and a grid point array color matrix construction method thereof, aiming at the specified six primary color fibers alpha, beta, gamma, delta, epsilon and theta, and respectively corresponding to each coordinate axis in a six-dimensional coordinate system by the quality of each primary color fiber, the construction of the six-dimensional color mixing grid color mixing space grid point array model is realized, and the method comprises the following steps:

step A, according to preset maximum mass omega corresponding to six primary color fibers alpha, beta, gamma, delta, epsilon and theta respectively_α、ω_β、ω_γ、ω_δ、ω_ε、ω_θDetermining the positions of the coordinate axes set by the fibers of the primary colors, which correspond to the maximum quality of the fibers of the primary colors respectively, and then entering the step B;

b, aiming at a line segment between the original point in the six-dimensional coordinate system and the coordinate axis position corresponding to the maximum mass of the primary color fiber alpha, performing m equal division to obtain m +1 points including the vertexes of the two ends of the line segment, wherein the mass of each point on the line segment

i is 1, … and m +1, i represents the serial number of each point on the line segment from the origin point in the six-dimensional coordinate system to the maximum quality of the primary color fiber alpha in the direction of the coordinate axis position;

aiming at a line segment between the original point in the six-dimensional coordinate system and the coordinate axis position corresponding to the maximum mass of the primary color fiber beta, n equal division is carried out, namely n +1 points including the top points of the two ends of the line segment are obtained, and the mass of each point on the line segment

j is 1, …, n +1, j represents the serial number of each point on the line segment from the origin point in the six-dimensional coordinate system to the maximum quality of the primary color fiber beta in the direction of the coordinate axis position;

for sixExecuting p equal division on a line segment between the original point in the dimensional coordinate system and the coordinate axis position corresponding to the maximum mass of the primary color fiber gamma, namely obtaining p +1 points including the vertexes at the two ends of the line segment, and obtaining the mass of each point on the line segment

k is 1, …, p +1, k represents the serial number of each point on the line segment from the origin point in the six-dimensional coordinate system to the maximum mass of the primary color fiber gamma in the direction of the coordinate axis position;

aiming at a line segment between the original point in the six-dimensional coordinate system and the set coordinate axis position corresponding to the maximum mass of the primary color fiber delta, performing q equal division to obtain q +1 points including the vertexes of the two ends of the line segment, wherein the mass of each point on the line segment

τ is 1, …, q +1, τ represents the serial number of each point on the line segment from the origin point in the six-dimensional coordinate system to the maximum quality of the primary color fiber δ in the direction of the coordinate axis position set by the origin point;

aiming at a line segment between the original point in the six-dimensional coordinate system and the coordinate axis position corresponding to the maximum mass of the primary color fiber epsilon, performing s equal division to obtain s +1 points including the vertexes of the two ends of the line segment, wherein the mass of each point on the line segment

Mu is 1, … and s +1, and mu represents the serial number of each point on the line segment from the original point in the six-dimensional coordinate system to the maximum mass of the primary color fiber epsilon in the direction of the coordinate axis position set by the line segment;

aiming at a line segment between the original point in the six-dimensional coordinate system and the coordinate axis position corresponding to the maximum mass of the primary color fiber theta, t equal division is carried out, namely t +1 points including the vertexes of the two ends of the line segment are obtained, and the mass of each point on the line segment

t+1，

The serial numbers of all points on the line segment from the original points in the six-dimensional coordinate system to the coordinate axis position direction corresponding to the maximum mass of the primary color fiber theta are represented; then entering step C;

step C, constructing the mixing ratio corresponding to the six primary color fibers alpha, beta, gamma, delta, epsilon and theta respectively

Then step D is entered as follows;

d, constructing a quality model of any point in a cubic space with preset maximum quality based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta corresponding to a six-dimensional color mixing grid color mixing space as follows, and then entering the step E;

e, constructing a quality matrix of any point in a cubic space with preset maximum quality corresponding to a six-dimensional mixed color grid mixed color space based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta as follows, and then entering the step F;

and i is 1,2,3,. said, m + 1; j ═ 1,2,3,. n + 1; 1,2,3,.., p + 1; τ ═ 1,2,3,. q + 1; μ ═ 1,2,3,. s + 1;

step F, constructing a color value model of any point in a cubic space with preset maximum mass corresponding to the six-dimensional color mixing grid color mixing space based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta as follows:

then go to step G, where R_α、G_α、B_αRepresenting the RGB color, R, corresponding to the primary color fiber alpha_β、G_β、B_βRepresenting the RGB color, R, corresponding to the primary color fiber beta_γ、G_γ、B_γRepresenting the RGB color, R, corresponding to the primary color fiber gamma_δ、G_δ、B_δRepresenting the RGB color, R, corresponding to the primary color fiber delta_ε、G_ε、B_εRepresenting the RGB color corresponding to the primary color fiber epsilon; r_θ、G_θ、B_θRepresenting the RGB color corresponding to the primary color fiber theta;

representing coordinates in a six-dimensional coordinate system

The position corresponds to the color value of the mixed yarn of six primary color fibers alpha, beta, gamma, delta, epsilon and theta,

representing coordinates in a six-dimensional coordinate system

RGB colors of the mixed yarn of six primary color fibers alpha, beta, gamma, delta, epsilon and theta corresponding to the positions;

step G, constructing a color value matrix of any point in a cubic space which is corresponding to the six-dimensional color mixing grid color mixing space and is based on the preset maximum quality of six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta as follows:

as a preferred technical scheme of the invention: the maximum mass and the division number based on the six primary colors alpha, beta, gamma, delta, epsilon and theta are equal to each other, i.e. omega_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θIf m, n, q, s, and t correspond to the six-dimensional mixed color grid space obtained in steps a to G, the color value model of any point in the cubic space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, and θ is as follows:

as a preferred technical scheme of the invention: six-dimensional mixed color grid mixed color space obtained based on steps A to GThe color value model corresponding to any point in the cubic space based on the preset maximum mass of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta, and the maximum mass and the equal division of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta are equal to each other, namely omega_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θN, p, q, s, t, i 1,2,3, 1, n +1, j 1,2,3, 1, n +1, k 1,2,3, 1, n +1, 2,3, 1,2,3, 1, n +1, μ 1,2,3, 1, 3, 1, n +1,

the zero-dimensional matrix is constructed as follows:

as a preferred technical scheme of the invention: a color value model of any point in a cubic space with preset maximum mass based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta corresponding to the six-dimensional color mixing grid color mixing space obtained in the steps A to G, and the maximum mass and the equal division number of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta are equal to each other, namely omega_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θThe primary color fiber alpha corresponds to an X axis in a six-dimensional coordinate system, the primary color fiber beta corresponds to a Y axis in the six-dimensional coordinate system, the primary color fiber gamma corresponds to a Z axis in the six-dimensional coordinate system, the primary color fiber delta corresponds to a U axis in the six-dimensional coordinate system, the primary color fiber epsilon corresponds to a V axis in the six-dimensional coordinate system, and the primary color fiber theta corresponds to a W axis in the six-dimensional coordinate system;

wherein (n +1) parallel to the W axis is constructed based on constants of i, j, k, τ, and μ⁵The array of 1 row (n +1) column one-dimensional color lines is as follows:

based on i, j, k,τ、

As a constant, (n +1) parallel to the V-axis is constructed⁵The array of 1 row (n +1) column one-dimensional color lines is as follows:

based on i, j, k, mu,

As a constant, (n +1) parallel to the U axis is constructed⁵The array of 1 row (n +1) column one-dimensional color lines is as follows:

based on i, j, τ, μ,

As a constant, (n +1) parallel to the Z axis is constructed⁵The array of 1 row (n +1) column one-dimensional color lines is as follows:

based on i, k, τ, μ,

As constants, (n +1) parallel to the Y axis is constructed⁵The array of 1 row (n +1) column one-dimensional color lines is as follows:

based on j, k, τ, μ,

Is a constantNumber, construction of (n +1) parallel to the X-axis⁵The array of 1 row (n +1) column one-dimensional color lines is as follows:

as a preferred technical scheme of the invention: a color value model of any point in a cubic space with preset maximum mass based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta corresponding to the six-dimensional color mixing grid color mixing space obtained in the steps A to G, and the maximum mass and the equal division number of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta are equal to each other, namely omega_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θ，m＝n＝p＝q＝s＝t；

Wherein (n +1) is constructed based on i, j, k and tau as constants⁴The (n +1) row (n +1) column two-dimensional color array is as follows:

constructing (n +1) based on i, j, k and mu as constants⁴The (n +1) row (n +1) column two-dimensional color array is as follows:

based on i, j, k,

As a constant, construct (n +1)⁴The (n +1) row (n +1) column two-dimensional color array is as follows:

constructing (n +1) based on i, j, tau and mu as constants⁴The (n +1) row (n +1) column two-dimensional color array is as follows:

based on i, j, τ,

based on i, j, mu,

constructing (n +1) based on i, k, tau and mu as constants⁴The (n +1) row (n +1) column two-dimensional color array is as follows:

based on i, k, τ,

based on i, k, mu,

based on i, τ, μ,

constructing (n +1) based on the constants of j, k, tau and mu⁴The (n +1) row (n +1) column two-dimensional color array is as follows:

based on j, k, τ,

based on j, k, mu,

based on j, τ, μ,

based on k, τ, μ,

Wherein is based on i, j, k being constants, and τ, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, j, τ being constants, and k, μ,

Are respectively equal to 1, …,n +1, to

Construction (n +1)³A three-dimensional color array;

based on i, j, μ as constants, and k, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, j,

Is constant and k, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, k, τ being constants, and j, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, k, μ as constants, and j, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, k,

Is constant and j, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, τ, μ as constants, and j, k,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, tau,

Is constant and j, k, mu are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, mu,

Is constant and j, k, τ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, k, τ being constants, and i, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, k, μ as constants, and i, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, k,

Is constant and i, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, τ, μ as constants, and i, k,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, τ,

Is constant, and i, k, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, mu,

Is constant and i, k, τ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on k, τ, μ as constants, and i, j,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on k, τ,

Is constant and i, j, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on k, mu,

Is constant and i, j, τ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on tau, mu,

Is constant and i, j, k are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array.

As a preferred technical scheme of the invention: a color value model of any point in a cubic space with preset maximum mass is preset based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta corresponding to the six-dimensional color mixing grid color mixing space obtained in the steps A to G, and the maximum mass and the equal division of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta are mutually equalEqual, i.e. ω_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θ，m＝n＝p＝q＝s＝t；

Wherein, based on i and j being constants, and k, τ, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on i, k being constants, and j, τ, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on i, τ being constants, and j, k, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on i, μ as constants, and j, k, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on i,

Is a constant, and j, k,τ, μ equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j, k being constants, and i, τ, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j and τ being constants, and i, k, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j, μ as constants, and i, k, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j,

Is constant and i, k, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on k, τ being constants, and i, j, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on k, μ as constants, and i, j, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on k,

Is constant and i, j, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on τ and μ as constants, and i, j, k,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on tau,

Is constant and i, j, k, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on mu,

Is constant and i, j, k, τ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array.

Wherein i is a constant, and j, k, τ, μ,

Equal to 1, …, n +1, respectively, for

Constructing (n +1) five-dimensional color arrays;

based on j being a constant, and i, k, τ, μ,

Equal to 1, …, n +1, respectively, for

Constructing (n +1) five-dimensional color arrays;

based on k as a constant, and i, j, τ, μ,

Equal to 1, …, n +1, respectively, for

Constructing (n +1) five-dimensional color arrays;

is constant based on τ, and i, j, k, μ,

Equal to 1, …, n +1, respectively, for

Constructing (n +1) five-dimensional color arrays;

based on μ as a constant, and i, j, k, τ,

Equal to 1, …, n +1, respectively, for

Constructing (n +1) five-dimensional color arrays;

based on

Is constant and i, j, k, τ, μ are equal to 1, …, n +1, respectively, for

(n +1) five-dimensional color arrays were constructed.

As a preferred technical scheme of the invention: a color value model of any point in a cubic space with preset maximum mass based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta corresponding to the six-dimensional color mixing grid color mixing space obtained in the steps A to G, and the maximum mass and the equal division number of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta are equal to each other, namely omega_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θN, q, s, t; based on i, j, k, τ, μ,

Equal to 1, …, n +1, respectively, for ξ_{i,j,k,τ,μ,θ}Construction of 1 six-dimensionalAn array of colors.

Correspondingly, the invention designs an application of a color fiber six-dimensional mixed color space grid model and a grid point array color matrix construction method thereof, and stores the color value of any point in a cubic space with preset maximum quality corresponding to the six-dimensional mixed color space based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta in a database, and is used for realizing the analysis of target color in the following way;

firstly, detecting by using a color detector to obtain RGB color detection data corresponding to a target color, and searching a database for grid points corresponding to the RGB color detection data; then, obtaining a grid point corresponding to the target color in a comparison mode within a preset radius range around the grid point by taking the grid point as an origin; and finally, the RGB color data corresponding to the grid points form the RGB color data corresponding to the target color.

Compared with the prior art, the color fiber six-dimensional color mixing space grid model and the grid point array chromatogram are constructed and applied, and the technical scheme has the following technical effects:

the invention designs a color fiber six-dimensional color mixing space grid model and a grid point array chromatogram construction and application, aiming at a specified six-primary color fiber, a coordinate digital quantization process is introduced, the six-primary color fiber respectively corresponds to each coordinate axis of a six-dimensional coordinate system, the quality of the mixture of the primary color fiber is taken as coordinate axis data, and a mixed yarn object of the six-primary color fiber is obtained by each grid point of the six-dimensional coordinate system space, thereby combining the mixing ratio of each primary color fiber and the RGB color of each primary color fiber to realize the RGB color modeling of the mixed yarn object, namely forming the six-dimensional color mixing grid color mixing space grid point array model, further realizing the construction of a line array model, an area array model and a volume array model, realizing digital quantization aiming at the RGB color mixing space under the mixing of the six-primary color fibers, and randomly calling each group of models to realize the color visualization in practical application, the efficiency of color analysis and selection is effectively improved.

Drawings

FIG. 1 is a schematic flow chart of a color fiber six-dimensional color mixing space grid model and a method for constructing a grid point array color matrix thereof according to the present invention.

Detailed Description

The following description will explain embodiments of the present invention in further detail with reference to the accompanying drawings.

The invention designs a color fiber six-dimensional color mixing space grid model and a grid point array color matrix construction method thereof, aiming at specified six primary color fibers alpha, beta, gamma, delta, epsilon and theta, and respectively corresponding to each coordinate axis in a six-dimensional coordinate system by the quality of each primary color fiber, so as to realize the construction of the six-dimensional color mixing grid color mixing space grid point array model, and the method comprises the following steps A to G.

Step A, according to preset maximum mass omega corresponding to six primary color fibers alpha, beta, gamma, delta, epsilon and theta respectively_α、ω_β、ω_γ、ω_δ、ω_ε、ω_θAnd B, determining the positions of the coordinate axes set by the fibers of the primary colors, which correspond to the maximum quality of the fibers of the primary colors respectively, and then entering the step B.

i is 1, …, m +1, i represents the serial number of each point on the line segment from the origin point in the six-dimensional coordinate system to the maximum mass of the primary color fiber alpha in the direction of the coordinate axis position set by the origin point.

j is 1, …, n +1, j represents the coordinate axis position corresponding to the maximum mass from the origin point to the primary color fiber beta in the six-dimensional coordinate system on the line segmentThe serial numbers of the points in the direction are arranged.

Aiming at a line segment between the original point in the six-dimensional coordinate system and the coordinate axis position corresponding to the maximum mass of the primary color fiber gamma, performing p equal division to obtain p +1 points including the vertexes of the two ends of the line segment, wherein the mass of each point on the line segment

k is 1, …, p +1, k represents the serial number of each point on the line segment from the origin point in the six-dimensional coordinate system to the maximum mass of the primary color fiber gamma in the direction of the coordinate axis position set by the origin point.

τ is 1, …, q +1, and τ represents the serial number of each point on the line segment from the origin point in the six-dimensional coordinate system to the point in the coordinate axis position direction corresponding to the maximum mass of the primary color fiber δ.

Mu is 1, …, s +1, mu represents the serial number of each point on the line segment from the origin point in the six-dimensional coordinate system to the maximum mass of the primary color fiber epsilon in the direction of the coordinate axis position set by the origin point.

t+1，

The serial numbers of all points on the line segment from the original points in the six-dimensional coordinate system to the coordinate axis position direction corresponding to the maximum mass of the primary color fiber theta are represented; then step C is entered.

Then step D is entered as follows;

in six-dimensional coordinate systemCoordinates of the object

representing coordinates in a six-dimensional coordinate system

The positions correspond to the RGB colors of the mixed yarn of the six primary colors of fibers alpha, beta, gamma, delta, epsilon and theta.

thereby obtaining a compound represented by alpha (R)_α,G_α,B_α)、β(R_β,G_β,B_β)、γ(R_γ,G_γ,B_γ)、δ(R_δ,G_δ,B_δ)、ε(R_ε,G_ε,B_ε)、θ(R_θ,G_θ,B_θ) Is a six-dimensional grid color mixing space of primary colors, the color gamut range of the space can pass through the color values xi of (m +1) × (n +1) × (p +1) × (q +1) × (s +1) × (t +1) grid points_{i,j,k,τ,μ,θ}The expression is carried out, thereby obtaining a gridding color gamut space of six-dimensional color mixing of the color fibers. The expansion can be carried out according to the following 7 modes under a Cartesian coordinate system:

1. when i is 1; j ═ 1,2,3,. n + 1; 1,2,3,.., p + 1; τ ═ 1,2,3,. q + 1; mu-1, 2,3,...,s+1；

When it is, then

Color values representing (n +1) × (p +1) × (q +1) × (s +1) × (t +1) grid points on an infinite number of faces perpendicular to the X-axis;

2. when i is 1,2,3,. said, m + 1; j is 1; 1,2,3,.., p + 1; τ ═ 1,2,3,. q + 1; μ ═ 1,2,3,. s + 1;

when it is, then

Color values representing (m +1) × (p +1) × (q +1) × (s +1) × (t +1) grid points on the plane perpendicular to the Y axis;

3. when i is 1,2,3,. said, m + 1; j ═ 1,2,3,. n + 1; k is 1; τ ═ 1,2,3,. q + 1; μ ═ 1,2,3,. s + 1;

when it is, then

Color values representing (m +1) × (n +1) × (q +1) × (s +1) × (t +1) grid points on the Z-axis perpendicular plane;

4. when i is 1,2,3,. said, m + 1; j ═ 1,2,3,. n + 1; 1,2,3,.., p + 1; τ is 1; μ ═ 1,2,3,. s + 1;

when it is, then

Color values representing (m +1) × (n +1) × (p +1) × (s +1) × (t +1) grid points on the plane perpendicular to the U axis;

5. when i is 1,2,3,. said, m + 1; j ═ 1,2,3,. n + 1; 1,2,3,.., p + 1; τ ═ 1,2,3,. q + 1; μ ═ 1;

when it is, then

Color values representing (m +1) × (n +1) × (p +1) × (q +1) × (t +1) grid points on the V-axis perpendicular plane;

6. when i is 1,2,3,. said, m + 1; j ═ 1,2,3,. n + 1; 1,2,3,.., p + 1; τ ═ 1,2,3,. q + 1; μ ═ 1,2,3,. s + 1;

when it is, then [ xi_{i,j,k,τ,μ,1}]Color values representing (m +1) × (n +1) × (p +1) × (q +1) grid points on the V-axis perpendicular plane;

7. when i is 1,2,3,. said, m + 1; j ═ 1,2,3,. n + 1; 1,2,3,.., p + 1; τ ═ 1,2,3,. q + 1; μ ═ 1,2,3,. s + 1;

then, can obtain

(m +1) × (n +1) × (p +1) × (q +1) × (s +1) × (t +1) grid points.

In practical application, the six-dimensional color mixing grid color mixing space obtained based on the steps a to G corresponds to a color value model of any point in a cubic space with preset maximum mass based on the six-primary-color fibers α, β, γ, δ, ε, and θ, and the maximum mass and the bisector of the six-primary-color fibers α, β, γ, δ, ε, and θ are equal to each other, that is, ω is equal to ω_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θIf m, n, q, s, and t correspond to the six-dimensional mixed color grid space obtained in steps a to G, the color value model of any point in the cubic space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, and θ is as follows:

further, according to the formula i 1,2,3, 1., n +1, j 1,2,3, 1., n +1, k 1,2,3, 1., n +1, τ 1,2,3, 1., n +1, μ 1,2,3, 1., n +1,

the zero-dimensional matrix is constructed as follows:

and based on that the primary color fiber alpha corresponds to the X axis in the six-dimensional coordinate system, the primary color fiber beta corresponds to the Y axis in the six-dimensional coordinate system, the primary color fiber gamma corresponds to the Z axis in the six-dimensional coordinate system, the primary color fiber delta corresponds to the U axis in the six-dimensional coordinate system, the primary color fiber epsilon corresponds to the V axis in the six-dimensional coordinate system, and the primary color fiber theta corresponds to the W axis in the six-dimensional coordinate system.

wherein:

and i ═ i; j is j; k is k; τ ═ τ; mu is mu;

based on i, j, k, τ,

based on i, j, k, mu,

based on i, j, τ, μ,

based on i, k, τ, μ,

based on j, k, τ, μ,

As constants, (n +1) parallel to the X-axis is constructed⁵The array of 1 row (n +1) column one-dimensional color lines is as follows:

in practical application, the one-dimensional array is expanded mainly as follows:

when i is 1, j is 1, k is 1, τ is 1, and μ is 1, the formed 1-row (n +1) -column one-dimensional formula is developed, and the matrix after development is as follows:

when i is equal to i, j is equal to j, k is equal to k, τ is equal to τ, and μ is equal to μ, the formed 1-row (n +1) -column one-dimensional formula is developed, and the matrix after development is as follows:

wherein:

(iii) when i is n +1, j is n +1, k is n +1, τ is n +1,

Then, the formed 1-row (n +1) -column one-dimensional formula is expanded, and the matrix after expansion is as follows:

wherein:

the other fourteen cases can be derived according to the method and the thought.

Correspondingly, based on i, j, k and tau as constants, constructing (n +1)⁴The (n +1) row (n +1) column two-dimensional color array is as follows:

wherein:

and i ═ i; j is j; k is k; τ ═ τ; μ ═ 1,2,3,. n + 1;

based on i, j, k,

based on i, j, τ,

based on i, j, mu,

based on i, k, τ,

based on i, k, mu,

based on i, τ, μ,

As a constant, construct (n +1)⁴Two-dimensional (n +1) rows and (n +1) columnsThe color array is as follows:

based on j, k, τ,

based on j, k, mu,

based on j, τ, μ,

based on k, τ, μ,

in practical application, the two-dimensional array is expanded mainly as follows:

when i is 1, j is 1, k is 1, and τ is 1, the two-dimensional array of (n +1) rows and (n +1) columns is developed, and the matrix after development is as follows:

wherein:

when i is equal to i, j is equal to j, k is equal to k, and τ is equal to τ, the two-dimensional array formula of (n +1) rows and (n +1) columns is developed, and the matrix after development is as follows:

wherein:

when i is equal to n +1, j is equal to n +1, k is equal to n +1, and τ is equal to n +1, the two-dimensional array formula of (n +1) rows and (n +1) columns is developed, and the matrix after development is as follows:

wherein:

Further based on i, j, k being constants, and τ, μ,

Equal to 1, …, n +1, respectively, for ξ_{i,j,k,τ,μ,θ}Construction (n +1)³A three-dimensional color array, wherein:

and i ═ i; j is j; k is k; τ ═ 1,2,3,. n + 1; μ ═ 1,2,3,. n + 1;

based on i, j, τ being constants, and k, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, j, μ as constants, and k, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, j,

Is constant and k, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, k, τ being constants, and j, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, k, μ as constants, and j, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, k,

Is constant and j, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, τ, μ as constants, and j, k,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, tau,

Is constant and j, k, mu are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, mu,

Is constant and j, k, τ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, k, τ being constants, and i, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, k, μ as constants, and i, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, k,

Is constant and i, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, τ, μ as constants, and i, k,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, τ,

Is constant, and i, k, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, mu,

Is constant and i, k, τ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on k, τ, μ as constants, and i, j,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on k, τ,

Is constant and i, j, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on k, mu,

Is constant and i, j, τ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on tau, mu,

Is constant and i, j, k are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array.

In practical application, the three-dimensional array is expanded mainly as follows:

when i is 1, j is 1, and k is 1, the three-dimensional array is expanded, and the matrix after expansion is as follows:

wherein:

when i is equal to i, j is equal to j, and k is equal to k, the formed three-dimensional array is expanded, and the matrix after expansion is as follows:

wherein:

when i is n +1, j is n +1, and k is n +1, the formed three-dimensional array is expanded, and the expanded matrix is as follows:

wherein:

the rest nineteen conditions can be derived according to the method and the thought.

And k, τ, μ, based on i, j being constant,

Equal to 1, …, n +1, respectively, for ξ_{i,j,k,τ,μ,θ}Construction (n +1)²A four-dimensional color array wherein:

and i ═ i; j is j; k is 1,2,3,. n + 1; τ ═ 1,2,3,. n + 1; μ ═ 1,2,3,. n + 1;

based on i, k being constants, and j, τ, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on i, τ being constants, and j, k, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on i, μ as constants, and j, k, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on i,

Is constant and j, k, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j, k being constants, and i, τ, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j and τ being constants, and i, k, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j, μ as constants, and i, k, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j,

Is constant and i, k, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on k, τ being constants, and i, j, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on k, μ as constants, and i, j, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on k,

Is constant and i, j, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on τ and μ as constants, and i, j, k,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on tau,

Is constant and i, j, k, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on mu,

Is constant and i, j, k, τ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array.

In practical applications, the four-dimensional array is expanded mainly as follows:

when i is 1 and j is 1, a four-dimensional array is formed as follows:

wherein:

when i is equal to i and j is equal to j, the four-dimensional array is formed as follows:

wherein:

when i is n +1 and j is n +1, the four-dimensional array is expanded as follows:

wherein:

the other nine conditions can be derived according to the method and the thought.

In addition, is constant based on i, and j, k, τ, μ,

Equal to 1, …, n +1, respectively, for ξ_{i,j,k,τ,μ,θ}(n +1) five-dimensional color arrays were constructed as follows:

wherein:

and i ═ i; j ═ 1,2,3,. n + 1; k is 1,2,3,. n + 1; τ ═ 1,2,3,. n + 1; μ ═ 1,2,3,. n + 1;

based on j being a constant, and i, k, τ, μ,

Equal to 1, …, n +1, respectively, for ξ_{i,j,k,τ,μ,θ}Constructing (n +1) five-dimensional color arrays;

based on k as a constant, and i, j, τ, μ,

is constant based on τ, and i, j, k, μ,

based on μ as a constant, and i, j, k, τ,

based on

Is constant and i, j, k, τ, μ are equal to 1, …, n +1, respectively, for ξ_{i,j,k,τ,μ,θ}(n +1) five-dimensional color arrays were constructed.

In practical application, the five-dimensional array is expanded mainly as follows:

when i is 1, the four-dimensional array is composed as follows:

wherein:

when i is equal to i, the four-dimensional array is formed as follows:

wherein:

when i is equal to n +1, the formed four-dimensional array is expanded as follows:

wherein:

the other five conditions can be derived according to the method and the thought.

And based on i, j, k, τ, μ,

Equal to 1, …, n +1, respectively, for ξ_{i,j,k,τ,μ,θ}1 six-dimensional color array was constructed as follows:

Based on the designed color fiber six-dimensional color mixing space grid model and the grid point array color matrix construction method thereof, in the specific practical application, the weights of six-element color fibers alpha, beta, gamma, delta, epsilon and theta are respectively assumed to be omega_α＝10、ω_β＝10、ω_γ＝10、ω_δ＝10、ω_ε＝10、ω_θ10, the color values are alpha (255,0,0), beta (0,255, 0), gamma (0, 255), delta (0,255,255), epsilon (255,0,255) and theta (255, 0), the weight of the chromatic fiber alpha is divided into 10 equal parts, the weight of the chromatic fiber beta is divided into 10 equal parts, the weight of the chromatic fiber gamma is divided into 4 equal parts, the weight of the chromatic fiber delta is divided into 4 equal parts, the weight of the chromatic fiber epsilon is divided into 4 equal parts, the weight of the chromatic fiber theta is divided into 4 equal parts, and the chromatic fiber theta is weighted according to the arithmetic progression to obtain a mixed omega mixture_ξ. Mixing the mixture omega_ξThe surface matrix is developed along the surface where the points α and β are located, 625 surface matrices of 11 × 11 can be obtained, only the first three and the last three are illustrated here, and the other 619 surface matrices can be calculated according to the surface matrix discussed above, and the corresponding RGB values are shown in the color comparison table.

The color comparison table for the six-dimensional grid color mixing matrix of colored fibers is shown in table 1 below.

TABLE 1

[ξ_{i,j,1,1，1,1}]	1	2	3	4	5	6	7	8	9	10	11
												1	255,0,0	232,23,0	213,43,0	196,59,0	182,73,0	170,85,0	159,96,0	150,105,0	142,113,0	134,121,0	128,128,0
2	255,0,0	230,26,0	209,46,0	191,64,0	177,78,0	164,91,0	153,102,0	143,112,0	135,120,0	128,128,0	121,134,0
												3	255,0,0	227,28,0	204,51,0	185,70,0	170,85,0	157,98,0	146,109,0	136,119,0	128,128,0	120,135,0	113,142,0
4	255,0,0	223,32,0	198,57,0	179,77,0	162,93,0	149,106,0	137,118,0	128,128,0	119,136,0	112,143,0	105,150,0
												5	255,0,0	219,36,0	191,64,0	170,85,0	153,102,0	139,116,0	128,128,0	118,137,0	109,146,0	102,153,0	96,159,0
6	255,0,0	213,43,0	182,73,0	159,96,0	142,113,0	128,128,0	116,139,0	106,149,0	98,157,0	91,164,0	85,170,0
												7	255,0,0	204,51,0	170,85,0	146,109,0	128,128,0	113,142,0	102,153,0	93,162,0	85,170,0	78,177,0	73,182,0
8	255,0,0	191,64,0	153,102,0	128,128,0	109,146,0	96,159,0	85,170,0	77,179,0	70,185,0	64,191,0	59,196,0
												9	255,0,0	170,85,0	128,128,0	102,153,0	85,170,0	73,182,0	64,191,0	57,198,0	51,204,0	46,209,0	43,213,0
10	255,0,0	128,128,0	85,170,0	64,191,0	51,204,0	43,213,0	36,219,0	32,223,0	28,227,0	26,230,0	23,232,0
												11	255,255,255	0,255,0	0,255,0	0,255,0	0,255,0	0,255,0	0,255,0	0,255,0	0,255,0	0,255,0	0,255,0

The color comparison table for the six-dimensional grid color mixing matrix of colored fibers is shown in Table 2 below.

TABLE 2

[ξ_i,j,1,1,1,2]	1	2	3	4	5	6	7	8	9	10	11
												1	255,0,51	236,19,47	220,35,44	206,49,41	193,62,39	182,73,36	172,83,34	163,92,33	155,100,31	148,107,30	142,113,28
2	255,0,55	235,20,51	217,38,47	202,53,44	189,66,41	178,77,39	168,87,36	159,96,34	150,105,33	143,112,31	136,119,30
												3	255,0,61	233,22,55	214,41,51	198,57,47	185,70,44	173,82,41	162,93,39	153,102,36	145,110,34	137,118,33	131,124,31
4	255,0,67	231,24,61	211,44,55	194,61,51	179,76,47	167,88,44	156,99,41	147,108,39	138,117,36	131,124,34	124,131,33
												5	255,0,75	228,27,67	206,49,61	188,67,55	173,82,51	161,94,47	149,106,44	140,115,41	131,124,39	124,131,36	117,138,34
6	255,0,85	225,30,75	201,54,67	182,73,61	166,89,55	153,102,51	142,113,47	132,123,44	123,132,41	116,139,39	109,146,36
												7	255,0,98	221,34,85	195,60,75	174,81,67	158,97,61	144,111,55	133,122,51	123,132,47	114,141,44	107,148,41	100,155,39
8	255,0,116	216,39,98	187,68,85	165,90,75	148,107,67	134,121,61	122,133,55	112,143,51	104,151,47	97,158,44	90,165,41
												9	255,0,142	209,46,116	177,78,98	153,102,85	135,120,75	121,134,67	109,146,61	100,155,55	92,163,51	85,170,47	79,176,44
10	255,0,182	198,57,142	162,93,116	137,118,98	119,136,85	105,150,75	94,161,67	85,170,61	78,177,55	71,184,51	66,189,47
												11	255,0,255	182,73,182	142,113,142	116,139,116	98,157,98	85,170,85	75,180,75	67,188,67	61,194,61	55,200,55	51,204,51

The color comparison table for the six-dimensional grid color mixing matrix of colored fibers is shown in Table 3 below.

TABLE 3

The color comparison table for the six-dimensional grid color mixing matrix of colored fibers is shown in Table 4 below.

TABLE 4

[ξ_i,j,5,5,5,3]	1	2	3	4	5	6	7	8	9	10	11
												1	109,73,182	106,78,177	103,83,172	101,87,168	98,92,163	96,96,159	93,100,155	91,103,152	89,107,148	87,110,145	85,113,142
2	105,75,188	102,80,182	99,85,177	96,90,172	94,94,168	92,98,163	89,102,159	87,106,155	85,109,152	83,113,148	81,116,145
												3	100,77,193	98,83,188	95,87,182	92,92,177	90,96,172	87,101,168	85,105,163	83,108,159	81,112,155	79,115,152	77,119,148
4	96,80,199	93,85,193	90,90,188	87,95,182	85,99,177	83,103,172	81,107,168	78,111,163	77,115,159	75,118,155	73,121,152
												5	90,82,206	88,88,199	85,93,193	83,98,188	80,102,182	78,106,177	76,110,172	74,114,168	72,118,163	70,121,159	68,124,155
6	85,85,213	82,90,206	80,96,199	77,100,193	75,105,188	73,109,182	71,113,177	69,117,172	67,121,168	65,124,163	64,128,159
												7	79,88,220	77,94,213	74,99,206	72,104,199	70,108,193	68,113,188	66,117,182	64,120,177	62,124,172	60,128,168	59,131,163
8	73,91,228	70,97,220	68,102,213	66,107,206	64,112,199	62,116,193	60,120,188	58,124,182	57,128,177	55,131,172	54,134,168
												9	66,94,236	64,100,228	62,106,220	60,111,213	58,115,206	56,120,199	54,124,193	53,128,188	51,131,182	50,135,177	48,138,172
10	59,98,245	57,104,236	55,109,228	53,114,220	51,119,213	49,123,206	48,128,199	46,131,193	45,135,188	44,138,182	43,142,177
												11	51,102,255	49,108,245	47,113,236	46,118,228	44,123,220	43,128,213	41,132,206	40,135,199	39,139,193	38,143,188	36,146,182

The color comparison table for the six-dimensional grid color mixing matrix of colored fibers is shown in Table 5 below.

TABLE 5

[ξ_i,j,5,5,5,4]	1	2	3	4	5	6	7	8	9	10	11
												1	119,68,187	116,73,182	113,77,178	110,82,173	108,86,169	105,90,165	103,94,161	100,97,158	98,101,154	96,104,151	94,107,148
2	115,70,192	112,75,187	109,79,182	107,84,178	104,88,173	101,92,169	99,96,165	97,100,161	95,103,158	92,106,154	90,110,151
												3	111,72,198	108,77,192	105,82,187	103,86,182	100,90,178	98,94,173	95,98,169	93,102,165	91,106,161	89,109,158	87,112,154
4	107,74,203	104,79,198	101,84,192	99,88,187	96,93,182	94,97,178	91,101,173	89,104,169	87,108,165	85,111,161	83,115,158
												5	103,76,209	100,81,203	97,86,198	94,91,192	92,95,187	89,99,182	87,103,178	85,107,173	83,111,169	81,114,165	79,117,161
6	98,78,216	95,84,209	92,89,203	90,93,198	87,98,192	85,102,187	83,106,182	81,110,178	79,113,173	77,117,169	75,120,165
												7	93,81,223	90,86,216	88,91,209	85,96,203	83,101,198	80,105,192	78,109,187	76,113,182	74,116,178	72,120,173	71,123,169
8	88,84,230	85,89,223	82,94,216	80,99,209	78,103,203	75,108,198	73,112,192	71,116,187	70,119,182	68,123,178	66,126,173
												9	82,86,238	79,92,230	77,97,223	75,102,216	72,107,209	70,111,203	68,115,198	66,119,192	65,122,187	63,126,182	61,129,178
10	76,89,246	73,95,238	71,100,230	69,105,223	67,110,216	65,114,209	63,118,203	61,122,198	59,126,192	58,129,187	56,132,182
												11	70,93,255	67,98,246	65,104,238	63,109,230	61,113,223	59,118,216	57,122,209	55,126,203	54,129,198	52,133,192	51,136,187

A color comparison table of a six-dimensional grid color mixing matrix of colored fibers is shown in table 6 below.

TABLE 6

[ξ_i,j,5,5,5,5]	1	2	3	4	5	6	7	8	9	10	11
												1	128,64,191	124,68,187	121,73,182	119,77,178	116,81,174	113,85,170	111,89,166	109,92,163	106,96,159	104,99,156	102,102,153
2	124,65,196	121,70,191	118,75,187	115,79,182	113,83,178	110,87,174	108,91,170	105,94,166	103,98,163	101,101,159	99,104,156
												3	121,67,201	118,72,196	115,77,191	112,81,187	109,85,182	107,89,178	104,93,174	102,96,170	100,100,166	98,103,163	96,106,159
4	117,69,207	114,74,201	111,78,196	108,83,191	106,87,187	103,91,182	101,95,178	99,99,174	96,102,170	94,105,166	92,109,163
												5	113,71,213	110,76,207	107,81,201	105,85,196	102,89,191	100,93,187	97,97,182	95,101,178	93,104,174	91,108,170	89,111,166
6	109,73,219	106,78,213	103,83,207	101,87,201	98,92,196	96,96,191	93,100,187	91,103,182	89,107,178	87,110,174	85,113,170
												7	105,75,225	102,80,219	99,85,213	96,90,207	94,94,201	92,98,196	89,102,191	87,106,187	85,109,182	83,113,178	81,116,174
8	100,77,232	98,83,225	95,87,219	92,92,213	90,96,207	87,101,201	85,105,196	83,108,191	81,112,187	79,115,182	77,119,178
												9	96,80,239	93,85,232	90,90,225	87,95,219	85,99,213	83,103,207	81,107,201	78,111,196	77,115,191	75,118,187	73,121,182
10	90,82,247	88,88,239	85,93,232	83,98,225	80,102,219	78,106,213	76,110,207	74,114,201	72,118,196	70,121,191	68,124,187
												11	85,85,255	82,90,247	80,96,239	77,100,232	75,105,225	73,109,219	71,113,213	69,117,207	67,121,201	65,124,196	64,128,191

The embodiments of the present invention have been described in detail with reference to the drawings, but the present invention is not limited to the above embodiments, and various changes can be made within the knowledge of those skilled in the art without departing from the gist of the present invention.

Claims

1. A color fiber six-dimensional color mixing space grid model and a method for constructing a grid point array color matrix thereof are characterized in that: aiming at specified six primary color fibers alpha, beta, gamma, delta, epsilon and theta, the construction of a six-dimensional color mixing grid space grid point array model is realized by respectively corresponding the quality of each primary color fiber to each coordinate axis in a six-dimensional coordinate system, and the method comprises the following steps:

i represents the serial number of each point on the line segment from the original point in the six-dimensional coordinate system to the maximum quality of the primary color fiber alpha in the direction of the coordinate axis position set by the line segment; aiming at a line segment between the original point in the six-dimensional coordinate system and the coordinate axis position corresponding to the maximum mass of the primary color fiber beta, n equal division is carried out, namely n +1 points including the top points of the two ends of the line segment are obtained, and the quality of each point on the line segmentMeasurement of

j represents the serial number of each point on the line segment from the original point in the six-dimensional coordinate system to the maximum mass of the primary color fiber beta in the direction of the coordinate axis position;

k represents the serial number of each point on the line segment from the original point in the six-dimensional coordinate system to the maximum mass of the primary color fiber gamma in the direction of the coordinate axis position set by the line segment;

Tau represents the serial number of each point on the line segment from the original point in the six-dimensional coordinate system to the maximum quality of the primary color fiber delta in the direction of the coordinate axis position set by the line segment;

Mu represents the serial number of each point on the line segment in the direction of the coordinate axis position corresponding to the maximum mass from the original point in the six-dimensional coordinate system to the primary color fiber epsilon;

aiming at a line segment between the original point in the six-dimensional coordinate system and the coordinate axis position corresponding to the maximum mass of the primary color fiber theta, t equal division is carried out, and the line segment containing the original point and the coordinate axis position corresponding to the maximum mass of the primary color fiber theta is obtainedT +1 points including the vertexes of the two ends of the line segment, and the quality of each point on the line segment

Then step D is entered as follows;

then go to step G, where R_α、G_α、B_αRepresenting the RGB color, R, corresponding to the primary color fiber alpha_β、G_β、B_βRepresenting the RGB color, R, corresponding to the primary color fiber beta_γ、G_γ、B_γRepresenting RGB corresponding to the primary colour fibre gammaColor, R_δ、G_δ、B_δRepresenting the RGB color, R, corresponding to the primary color fiber delta_ε、G_ε、B_εRepresenting the RGB color corresponding to the primary color fiber epsilon; r_θ、G_θ、B_θRepresenting the RGB color corresponding to the primary color fiber theta;

representing coordinates in a six-dimensional coordinate system

representing coordinates in a six-dimensional coordinate system

2. the method of claim 1 for constructing a color fiber six-dimensional color mixing space grid model and a grid point array color matrix thereof, wherein the method comprises the following steps: the maximum mass and the bisector based on the six primary colors alpha, beta, gamma, delta, epsilon, theta are equal to each other, i.e. the maximum mass and the bisector are equal to each other

ω_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θIf m, n, q, s, and t correspond to the six-dimensional mixed color grid space obtained in steps a to G, the color value model of any point in the cubic space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, and θ is as follows:

3. the method of claim 1 for constructing a color fiber six-dimensional color mixing space grid model and a grid point array color matrix thereof, wherein the method comprises the following steps: a color value model of any point in a cubic space with preset maximum mass based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta corresponding to the six-dimensional color mixing grid color mixing space obtained in the steps A to G, and the maximum mass and the equal division number of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta are equal to each other, namely omega_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θN, p, q, s, t, i 1,2,3, 1, n +1, j 1,2,3, 1, n +1, k 1,2,3, 1, n +1, 2,3, 1,2,3, 1, n +1, μ 1,2,3, 1, 3, 1, n +1,

the zero-dimensional matrix is constructed as follows:

4. the method of claim 1 for constructing a color fiber six-dimensional color mixing space grid model and a grid point array color matrix thereof, wherein the method comprises the following steps: based on six obtained in steps A to GThe color value model of any point in the cubic space based on the maximum mass preset by the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta is corresponded to the dimensional color mixing grid color mixing space, and the maximum mass and the equal division of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta are equal to each other, namely omega_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θThe primary color fiber alpha corresponds to an X axis in a six-dimensional coordinate system, the primary color fiber beta corresponds to a Y axis in the six-dimensional coordinate system, the primary color fiber gamma corresponds to a Z axis in the six-dimensional coordinate system, the primary color fiber delta corresponds to a U axis in the six-dimensional coordinate system, the primary color fiber epsilon corresponds to a V axis in the six-dimensional coordinate system, and the primary color fiber theta corresponds to a W axis in the six-dimensional coordinate system;

based on i, j, k, τ,

based on i, j, k, mu,

based on i, j, τ, μ,

based on i, k, τ, μ,

based on j, k, τ, μ,

5. the method of claim 1 for constructing a color fiber six-dimensional color mixing space grid model and a grid point array color matrix thereof, wherein the method comprises the following steps: a color value model of any point in a cubic space with preset maximum mass based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta corresponding to the six-dimensional color mixing grid color mixing space obtained in the steps A to G, and the maximum mass and the equal division number of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta are equal to each other, namely omega_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θ，m＝n＝p＝q＝s＝t；

based on i, j, k,

based on i, j, τ,

based on i, j, mu,

based on i, k, τ,

based on i, k, mu,

based on i, τ, μ,

based on j, k, τ,

based on j, k, mu,

based on j, τ, μ,

based on k, τ, μ,

6. the method of claim 1 for constructing a color fiber six-dimensional color mixing space grid model and a grid point array color matrix thereof, wherein the method comprises the following steps: a color value model of any point in a cubic space with preset maximum mass based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta corresponding to the six-dimensional color mixing grid color mixing space obtained in the steps A to G, and the maximum mass and the equal division number of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta are equal to each other, namely omega_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θ，m＝n＝p＝q＝s＝t；

Wherein is based on i, j, k being constants, and τ, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, j, τ being constants, and k, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, j, μ as constants, and k, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, j,

Is constant and k, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, k, τ being constants, and j, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, k, μ as constants, and j, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, k,

Is constant and j, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, τ, μ as constants, and j, k,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, tau,

Is constant and j, k, mu are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on i, mu,

Is constant and j, k, τ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, k, τ being constants, and i, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, k, μ as constants, and i, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, k,

Is constant and i, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, τ, μ as constants, and i, k,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, τ,

Is constant, and i, k, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on j, mu,

Is constant, and i, k, τ are eachEqual to 1, …, n +1, for

Construction (n +1)³A three-dimensional color array;

based on k, τ, μ as constants, and i, j,

Equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on k, τ,

Is constant and i, j, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on k, mu,

Is constant and i, j, τ are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array;

based on tau, mu,

Is constant and i, j, k are equal to 1, …, n +1, respectively, for

Construction (n +1)³A three-dimensional color array.

7. The method of claim 1 for constructing a color fiber six-dimensional color mixing space grid model and a grid point array color matrix thereof, wherein the method comprises the following steps: a color value model of any point in a cubic space with preset maximum mass based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta corresponding to the six-dimensional color mixing grid color mixing space obtained in the steps A to G, and the maximum mass and the equal division number of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta are equal to each other, namely omega_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θ，m＝n＝p＝q＝s＝t；

Wherein, based on i and j being constants, and k, τ, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on i, k being constants, and j, τ, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on i, τ being constants, and j, k, μ,

Equal to 1, …, n +1, respectively, for the structure

Building (n +1)²A four-dimensional color array;

based on i, μ as constants, and j, k, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on i,

Is constant and j, k, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j, k being constants, and i, τ, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j and τ being constants, and i, k, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j, μ as constants, and i, k, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on j,

Is constant and i, k, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on k, τ being constants, and i, j, μ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on k, μ as constants, and i, j, τ,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on k,

Is constant and i, j, τ, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on τ and μ as constants, and i, j, k,

Equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on tau,

Is constant and i, j, k, μ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array;

based on mu,

Is constant and i, j, k, τ are equal to 1, …, n +1, respectively, for

Construction (n +1)²A four-dimensional color array.

8. The method of claim 1 for constructing a color fiber six-dimensional color mixing space grid model and a grid point array color matrix thereof, wherein the method comprises the following steps: a color value model of any point in a cubic space with preset maximum mass based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta corresponding to the six-dimensional color mixing grid color mixing space obtained in the steps A to G, and the maximum mass and the equal division number of the six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta are equal to each other, namely omega_α＝ω_β＝ω_γ＝ω_δ＝ω_ε＝ω_θ，m＝n＝p＝q＝s＝t；

Wherein i is a constant, and j, k, τ, μ,

Equal to 1, …, n +1, respectively, for

Constructing (n +1) five-dimensional color arrays;

based on j being a constant, and i, k, τ, μ,

Equal to 1, …, n +1, respectively, for

Constructing (n +1) five-dimensional color arrays;

based on k as a constant, and i, j, τ, μ,

Equal to 1, …, n +1, respectively, for

Constructing (n +1) five-dimensional color arrays;

is constant based on τ, and i, j, k, μ,

Equal to 1, …, n +1, respectively, for

Constructing (n +1) five-dimensional color arrays;

based on μ as a constant, and i, j, k, τ,

Equal to 1, …, n +1, respectively, for

Constructing (n +1) five-dimensional color arrays;

based on

Is constant and i, j, k, τ, μ are equal to 1, …, n +1, respectively, for

(n +1) five-dimensional color arrays were constructed.

9. An application of the color fiber six-dimensional mixed color space grid model and the grid point array color matrix construction method thereof according to any one of claims 1 to 8, characterized in that: storing the color value of any point in a cubic space with preset maximum mass corresponding to the six-dimensional color mixing grid color mixing space based on six-primary-color fibers alpha, beta, gamma, delta, epsilon and theta in a database, and analyzing the target color according to the following mode;