CN113573036A - Cylindrical color space gridding model construction and equal-brightness equal-saturation equal-hue chromatogram visualization method - Google Patents

Cylindrical color space gridding model construction and equal-brightness equal-saturation equal-hue chromatogram visualization method Download PDF

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CN113573036A
CN113573036A CN202110666689.1A CN202110666689A CN113573036A CN 113573036 A CN113573036 A CN 113573036A CN 202110666689 A CN202110666689 A CN 202110666689A CN 113573036 A CN113573036 A CN 113573036A
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color space
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color
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薛元
孙显强
崔鹏
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Jiangnan University
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Abstract

The invention relates to a cylindrical color space gridding model construction, which comprises the following steps of: discretizing hue angle, saturation and brightness, digitally expressing variables of three dimensions such as hue angle, chroma, lightness and the like of a cylindrical color space by using grid point coordinates, realizing a grid design with adjustable precision, completing the construction of a grid cylindrical color space grid model, designing a grid point array chromatogram which provides an equal lightness plane, an equal hue plane and an equal chroma plane of the cylindrical color space model, digitally displaying all colors in each equal lightness plane, each equal hue plane and each equal chroma plane, quantizing the color value of each grid point, freely viewing all colors in each plane, providing convenience for color selection in the later period, and not influencing the color design and innovation in the later period even if color difference exists.

Description

Cylindrical color space gridding model construction and equal-brightness equal-saturation equal-hue chromatogram visualization method
Technical Field
The invention relates to a cylindrical color space gridding model construction and a visualization method of equal-brightness equal-saturation equal-hue chromatogram thereof, belonging to the technical field of spinning chromatogram.
Background
HSL in the HSL color model is Hue, Saturation, and Lightness (Hue, Saturation, brightness). The HSL color model is a model using a hue circle as a circumference, saturation as a radius, lightness as a high cylinder, and the HSL color model shape is a cylinder of spatial colors, as shown in fig. 1. HSL describes the color at a point in a cylindrical coordinate system, the central axis of the cylinder taking the value of black from the bottom to white at the top and gray in the middle of them, the angle around this axis corresponding to "hue", the distance to this axis corresponding to "saturation" or "saturation", and the height along this axis corresponding to "brightness" or "lightness", the HSL color model being more consistent with the human eye's view and judgment of color than the RGB color model.
Generally, the degree value range of the hue angle of the HSL color model is 0-360 degrees, the saturation value range is 0-1, and the brightness value range is 0-1. In the HSL color model, the standard primary colors of red, yellow, green, cyan, blue, magenta, etc. fall on a circle with a luminance value of 0.5 and a saturation value of 1, and the standard colors of black and white correspond to the center of the bottom and top surfaces of the HSL color model. Table 1 shows the RGB values and the corresponding HSL values for the standard eight primaries.
TABLE 1
Figure BDA0003117705900000011
The visualization of the full-color domain color of the HSL color space is very important for carrying out color design by applying a color change rule, and the HSL color space is widely applied because the HSL color space accords with the visual perception of people on the color, but the prior HSL color space theory has the following problems:
1. although the hue angle, saturation and brightness of the HSL color model and the value range thereof are defined based on a polar coordinate system, quantitative analysis of the color distribution rule of the HSL color model from three dimensions of hue angle, saturation and brightness is lacked;
2. although the HSL color model is deduced based on the RGB color model, a gridding HSL color model which can be used for a digital algorithm is not constructed, and variables of three dimensions such as hue angle, saturation and brightness of the HSL color model are related through grid point array coordinates;
3. although the equal brightness surface, the equal hue surface and the equal saturation surface are defined based on the HSL color model, a solving method of the grid point array chromatogram on the equal brightness surface, the equal hue surface and the equal saturation surface of the HSL color model is not provided.
Disclosure of Invention
The technical problem to be solved by the invention is to provide a cylindrical color space gridding model construction, wherein variables of three dimensions of a hue angle, saturation and brightness of a cylindrical color space are subjected to gridding processing, and the hue angle, the saturation and the brightness are associated through grid point coordinates, so that the gridding cylindrical color space modeling is efficiently realized, and further, the efficient obtaining of color values of grid points and the efficient conversion between the grid point color values and an RGB color space are realized.
The invention adopts the following technical scheme for solving the technical problems: the invention designs a cylindrical color space gridding model construction, which is based on a cylindrical color space with a hue circle as a cylindrical section circumference, saturation as a cylindrical section radius and brightness as a cylindrical height, a hue angle H corresponding to the hue circle ranging from 0 degree to 360 degrees, saturation S ranging from 0 degree to 1 degree and brightness L ranging from 0 degree to 1 degree, and aims at the cylindrical color space with standard white and black colors respectively corresponding to the circle center position of a cylindrical top surface and the circle center position of a bottom surface, and the specified number of standard color primary color fibers falling on the circumference with the brightness value L of 1 and the saturation value S of 1, so as to realize the construction of the cylindrical color space gridding model corresponding to the specified number of primary color fibers, and comprises the following steps:
step A, aiming at the cylindrical color space, m equal division is carried out on a hue angle H, n equal division is carried out on a saturation S, p equal division is carried out on brightness L, and coordinates of grid points in the cylindrical color space are obtained
Figure BDA0003117705900000021
Then entering the step B; wherein i is 1,2, …, m, j is 1,2, …, n, n +1, k is 1,2, …, p, p + 1;
step B, aiming at each grid point in the cylindrical color space, according to the following formula:
ci,j,k＝[Hi,j,k Si,j,k Li,j,k]
Figure BDA0003117705900000022
obtaining color values c of grid points in cylindrical color spacei,j,kThen entering step C; wherein Hi,j,kData values, S, representing the hue angle for each grid point in cylindrical color spacei,j,kData values, L, representing the corresponding saturation of each grid point in cylindrical color spacei,j,kData values representing the luminance corresponding to each grid point in the cylindrical color space;
step C, according to preset thetam＝360°/m、rn＝1/n、hp1/p, obtaining
Figure BDA0003117705900000023
Then entering step D;
step D, according to preset qm,n,p＝diag[θm,rn,hp]Updating and obtaining the color value c of each grid point in the cylindrical color spacei,j,k＝qm,n,p×ai,j,k；
As a preferred technical scheme of the invention: the cylindrical color space is an HSL color space, and then a grid point color value c in the HSL color space is constructedi,j,kThe conversion to its corresponding RGB value is as follows:
(1) when 0 degree<Hi,j,k<120 ° and the formula is as follows:
Figure BDA0003117705900000031
(2) when the temperature is 120 °<Hi,j,k<240 ° and the formula is as follows:
Figure BDA0003117705900000032
(3) when the temperature reaches 240 °<Hi,j,k<360 deg., formula asThe following:
Figure BDA0003117705900000033
construction of grid point color values (R) in RGB color space simultaneouslyi,j,k,Gi,j,k,Bi,j,k) To its corresponding HSL value (H)i,j,kSi,j,kLi,j,k) The conversion between is as follows:
max＝max(Ri,j,k,Gi,j,k,Bi,j,k)
min＝min(Ri,j,k,Gi,j,k,Bi,j,k)
Figure BDA0003117705900000034
Figure BDA0003117705900000035
Figure BDA0003117705900000041
wherein R isi,j,kRepresenting the data value, G, of each grid point in RGB color space corresponding to Ri,j,kData values representing the respective grid points G, B in RGB color spacei,j,kRepresenting the data value of each grid point in the RGB color space corresponding to B.
As a preferred technical scheme of the invention: the cylindrical color space is an HSV color space, and based on the R, G, B variation range of 0-255 in the RGB color model, the grid point color value c in the HSV color space is constructedi,j,k(Hi,j,k Si,，j,kLi,j,k) The conversion to its corresponding RGB value is as follows:
Figure BDA0003117705900000042
construction of grid point color values (R) in RGB color space simultaneouslyi,j,k,Gi,j,k,Bi,j,k) To its corresponding HSV value (H)i,j,k Si,j,k Li,j,k) The conversion between is as follows:
max＝max(Ri,j,k,Gi,j,k,Bi,j,k)
min＝min(Ri,j,k,Gi,j,k,Bi,j,k)
Figure BDA0003117705900000051
Figure BDA0003117705900000052
Li,j,k＝max
wherein R isi,j,kRepresenting the data value, G, of each grid point in RGB color space corresponding to Ri,j,kData values representing the respective grid points G, B in RGB color spacei,j,kRepresenting the data value of each grid point in the RGB color space corresponding to B.
In view of the above, the technical problem to be solved by the present invention is to provide a visualization method for color chromatograms with equal brightness, equal saturation, and the like, which is constructed based on a cylindrical color space gridding model, and based on the obtained color values of the grid points in the constructed cylindrical color space gridding model, the color chromatograms with equal brightness, equal saturation, and equal color can be efficiently obtained.
The invention adopts the following technical scheme for solving the technical problems: the invention designs a visualization method of equal-brightness equal-saturation equal-hue chromatogram constructed by a cylindrical color space gridding model, aiming at (n +1) equal-saturation surfaces corresponding to n equal divisions executed by saturation S, respectively obtaining grid point array matrixes E corresponding to all equal-saturation surfaces respectively based on j being 1,2, …, n and n +1i,j,kThe following were used:
Figure BDA0003117705900000053
wherein, when j is 1:
Figure BDA0003117705900000054
when j is 2, …, n:
Figure BDA0003117705900000061
when j is n + 1:
Figure BDA0003117705900000062
as a preferred technical scheme of the invention: for n equal saturation planes corresponding to n equal divisions executed on the saturation S, grid point chromatographic matrixes CE corresponding to the equal saturation planes are obtained on the basis that j is 1,2, …, n, n +1i,j,kRepresents:
Figure BDA0003117705900000063
as a preferred technical scheme of the invention: (p +1) equal luminance planes each perpendicular to the coordinate axis of the luminance L, to which p equal division is performed for the luminance L, and based on k being 1,2, …, p, p +1, a grid point array matrix a is obtained in which each equal luminance plane corresponds respectivelyi,j,kThe following were used:
Figure BDA0003117705900000064
wherein, when k is 1:
Figure BDA0003117705900000071
when k is 2, …, p:
Figure BDA0003117705900000072
when k is p + 1:
Figure BDA0003117705900000073
as a preferred technical scheme of the invention: p equal luminance surfaces corresponding to p equal division performed on the luminance V are obtained, and grid point chromatogram matrices CA corresponding to the equal luminance surfaces are obtained based on k being 1,2, …, p, p +1i,j,kRepresents:
Figure BDA0003117705900000074
as a preferred technical scheme of the invention: for m equal hue surfaces which are respectively collinear with the coordinate axis of the brightness V and are corresponding to m equal divisions executed by the hue angle H, a grid point array matrix D corresponding to each equal hue surface is respectively obtained based on the conditions that i is 1,2, … and mi,j,kThe following were used:
Figure BDA0003117705900000081
wherein, when i ═ 1:
Figure BDA0003117705900000082
when i is 2, …, m-1:
Figure BDA0003117705900000083
when i ═ m:
Figure BDA0003117705900000084
as a preferred technical scheme of the invention: m equal division corresponding to m equal color phase planes executed by the hue angle H is carried out, and a grid point chromatographic matrix CD corresponding to each equal color phase plane is obtained on the basis that i is 1,2, …, mi,j,kRepresents:
Figure BDA0003117705900000091
compared with the prior art, the method for constructing the cylindrical color space gridding model and visualizing the color chromatogram with equal brightness, equal saturation and the like has the following technical effects by adopting the technical scheme:
the invention discloses a cylindrical color space gridding model construction method, which comprises the following steps of: discretizing hue angle, saturation and brightness, digitally expressing variables of three dimensions such as hue angle, chroma, lightness and the like of a cylindrical color space by using grid point coordinates, realizing a grid design with adjustable precision, completing the construction of a grid cylindrical color space grid model, designing a grid point array chromatogram which provides an equal lightness plane, an equal hue plane and an equal chroma plane of the cylindrical color space model, digitally displaying all colors in each equal lightness plane, each equal hue plane and each equal chroma plane, quantizing the color value of each grid point, freely viewing all colors in each plane, providing convenience for color selection in the later period, and not influencing the color design and innovation in the later period even if color difference exists.
Drawings
FIG. 1 is a color value schematic of a cylindrical color space;
FIG. 2 is an illustration of an isochromatic plane within a cylindrical color space model;
FIG. 3 is a schematic of an isosaturation surface within a cylindrical color space model;
FIG. 4 is an illustration of an iso-luminance surface within a cylindrical color space model.
Detailed Description
The following description will explain embodiments of the present invention in further detail with reference to the accompanying drawings.
In the cylindrical color space model, the hue angles H corresponding to the hue rings are equal, i.e. the chromaticities of all colors on the isochromatic plane are equal, as shown in fig. 2; the saturation surface is formed by all colors with equal saturation S values, that is, the saturation of all colors on the saturation surface is equal, as shown in FIG. 3; the equal-luminance surface is composed of all the colors having the same luminance L value, that is, the luminance of all the colors on the equal-luminance surface is equal, as shown in fig. 4.
Based on the analysis of the cylindrical color space model, the invention designs the construction of a cylindrical color space gridding model, based on the cylindrical color space with a hue circle as the circumference of the cylindrical section, saturation as the radius of the cylindrical section and brightness as the height of the cylindrical section, the hue angle H corresponding to the hue circle ranges from 0 to 360 degrees, the saturation S ranges from 0 to 1 and the brightness L ranges from 0 to 1, the construction of the cylindrical color space gridding model corresponding to the specified number of primary color fibers is realized by aiming at the cylindrical color space with the standard white and black colors respectively corresponding to the circle center position of the cylindrical top surface and the circle center position of the bottom surface, the specified number of primary color fibers all falling on the circumference with the brightness value L of 1 and the saturation value S of 1, and the following steps A to E are specifically executed.
Step A, aiming at the cylindrical color space, m equal division is carried out on a hue angle H, n equal division is carried out on a saturation S, p equal division is carried out on brightness L, and coordinates of grid points in the cylindrical color space are obtained
Figure BDA0003117705900000101
Then entering the step B; where, i is 1,2, …, m, j is 1,2, …, n, n +1, k is 1,2, …, p, p + 1.
Step B, aiming at each grid point in the cylindrical color space, according to the following formula:
ci,j,k＝[Hi,j,k Si,j,k Li,j,k]
Figure BDA0003117705900000102
obtaining color values c of grid points in cylindrical color spacei,j,kThen entering step C; wherein Hi,j,kData values, S, representing the hue angle for each grid point in cylindrical color spacei,j,kData values, L, representing the corresponding saturation of each grid point in cylindrical color spacei,j,kData values representing the corresponding luminance of each grid point in the cylindrical color space.
Step C, according to preset thetam＝360°/m、rn＝1/n、hp1/p, obtaining
Figure BDA0003117705900000103
Then step D is entered.
Step D, according to preset qm,n,p＝diag[θm,rn,hp]Updating and obtaining the color value c of each grid point in the cylindrical color spacei,j,k＝qm,n,p×ai,j,k。
Further, if the cylindrical color space is an HSL color space, constructing a grid point color value c in the HSL color spacei,j,kThe conversion to its corresponding RGB value is as follows:
(1) when 0 degree<Hi,j,k<120 ° and the formula is as follows:
Figure BDA0003117705900000104
(2) when the temperature is 120 °<Hi,，j,k<240 ° and the formula is as follows:
Figure BDA0003117705900000111
(3) when the temperature reaches 240 °<Hi,，j,k<360 °, the formula is as follows:
Figure BDA0003117705900000112
construction of grid point color values (R) in RGB color space simultaneouslyi,j,k,Gi,j,k,Bi,j,k) To its corresponding HSL value (H)i,j,k Si,j,k Li,j,k) The conversion between is as follows:
max＝max(Ri,j,k,Gi,j,k,Bi,j,k)
min＝min(Ri,j,k,Gi,j,k,Bi,j,k)
Figure BDA0003117705900000113
Figure BDA0003117705900000114
Figure BDA0003117705900000115
wherein R isi,j,kRepresenting the data value, G, of each grid point in RGB color space corresponding to Ri,j,kData values representing the respective grid points G, B in RGB color spacei,j,kRepresenting the data value of each grid point in the RGB color space corresponding to B.
If the cylindrical color space is an HSV color space, constructing a grid point color value c in the HSV color space based on the R, G, B variation range of 0-255 in the RGB color modeli,j,k(Hi,j,k Si,j,k Li,j,k) The conversion to its corresponding RGB value is as follows:
Figure BDA0003117705900000121
construction of grid point color values (R) in RGB color space simultaneouslyi,j,k,Gi,j,k,Bi,j,k) To its corresponding HSV value (H)i,j,k Si,j,k Li,j,k) The conversion between is as follows:
max＝max(Ri,j,k,Gi,j,k,Bi,j,k)
min＝min(Ri,j,k,Gi,j,k,Bi,j,k)
Figure BDA0003117705900000122
Figure BDA0003117705900000123
Li,j,k＝max
wherein R isi,j,kRepresenting the data value, G, of each grid point in RGB color space corresponding to Ri,j,kData values representing the respective grid points G, B in RGB color spacei,j,kRepresenting the data value of each grid point in the RGB color space corresponding to B.
Based on the construction of the cylindrical color space gridding model, the invention further designs a visualization method of the equal-brightness equal-saturation equal-hue chromatogram constructed by the cylindrical color space gridding model, wherein for an equal-saturation surface, (n +1) equal-saturation surfaces corresponding to n equal divisions executed by the saturation S are obtained respectively based on j being 1,2, …, n, n +1, and grid point array matrixes E corresponding to all equal-saturation surfaces are obtained respectivelyi,j,kThe following were used:
Figure BDA0003117705900000131
wherein, when j is 1:
Figure BDA0003117705900000132
when j is 2, …, n:
Figure BDA0003117705900000133
when j is n + 1:
Figure BDA0003117705900000134
for the (n +1) isosaturation planes corresponding to the n-equal division performed on the saturation S, the grid point chromatography matrix CE corresponding to each isosaturation plane is obtained further based on j being 1,2, …, n, n +1i,j,kRepresents:
Figure BDA0003117705900000135
for each equal luminance plane, (p +1) equal luminance planes each perpendicular to the coordinate axis of the luminance L, to which p equal division is performed for the luminance L, are obtained based on k being 1,2, …, p, p +1, and a grid point array matrix a in which each equal luminance plane corresponds respectivelyi,j,kThe following were used:
Figure BDA0003117705900000141
wherein, when k is 1:
Figure BDA0003117705900000142
when k is 2, …, p:
Figure BDA0003117705900000143
when k is p + 1:
Figure BDA0003117705900000144
for the above p-equal division performed for the luminance L(p +1) equal brightness surfaces, and further based on k being 1,2, …, p, p +1, obtaining a grid point chromatographic matrix CA corresponding to each equal brightness surfacei,j,kRepresents:
Figure BDA0003117705900000151
for the isochromatic planes, m isochromatic planes which correspond to m equal divisions performed for the hue angle H and are respectively collinear with the coordinate axis on which the luminance V is located are obtained on the basis of i being 1,2, …, m, respectively, and the grid point array matrix D corresponding to each isochromatic plane is obtainedi,j,kThe following were used:
Figure BDA0003117705900000152
wherein, when i ═ 1:
Figure BDA0003117705900000153
when i is 2, …, m-1:
Figure BDA0003117705900000154
when i ═ m:
Figure BDA0003117705900000161
for the m isochromatic planes corresponding to the m equal divisions performed for the hue angle H, the grid point chromatogram matrix CD corresponding to each isochromatic plane is obtained further based on i being 1,2, …, mi,j,kRepresents:
Figure BDA0003117705900000162
the cylindrical color space gridding model construction and the visualization method of the hue chromatograms with equal brightness and equal saturation are applied to practice, and 6 equal hue surfaces, 11 equal saturation surfaces and 11 equal brightness surfaces can be obtained by enabling m to be 6, n to be 10 and p to be 10. Wherein, the chromatographic color values of the 11 equal brightness surface grid point array are shown in tables 2 to 12.
TABLE 2
k＝1 1 2 3 4 5 6 7 8 9 10 11
1 (300,0.1, 0.0) (300,0.2, 0.0) (300,0.3, 0.0) (300,0.4, 0.0) (300,0.5, 0.0) (300,0.6, 0.0) (300,0.7, 0.0) (300,0.8, 0.0) (300,0.9, 0.0) (300,1.0,0.0)
2 (240,0.1, 0.0) (240,0.2, 0.0) (240,0.3, 0.0) (240,0.4, 0.0) (240,0.5, 0.0) (240,0.6, 0.0) (240,0.7, 0.0) (240,0.8, 0.0) (240,0.9, 0.0) (240,1.0,0.0)
3 (180,0.1, 0.0) (180,0.2, 0.0) (180,0.3, 0.0) (180,0.4, 0.0) (180,0.5, 0.0) (180,0.6, 0.0) (180,0.7, 0.0) (180,0.8, 0.0) (180,0.9, 0.0) (180,1.0,0.0)
4 (120,0.1, 0.0) (120,0.2, 0.0) (120,0.3, 0.0) (120,0.4, 0.0) (120,0.5, 0.0) (120,0.6, 0.0) (120,0.7, 0.0) (120,0.8, 0.0) (120,0.9, 0.0) (120,1.0,0.0)
5 (60,0.1, 0.0) (60,0.2, 0.0) (60,0.3, 0.0) (60,0.4, 0.0) (60,0.5, 0.0) (60,0.6, 0.0) (60,0.7, 0.0) (60,0.8, 0.0) (60,0.9, 0.0) (60,1.0,0.0)
6 (0,0.0, 0.0) (0,0.1, 0.0) (0,0.2, 0.0) (0,0.3, 0.0) (0,0.4, 0.0) (0,0.5, 0.0) (0,0.6, 0.0) (0,0.7, 0.0) (0,0.8, 0.0) (0,0.9, 0.0) (0,1.0,0.0)
TABLE 3
k＝2 1 2 3 4 5 6 7 8 9 10 11
1 (300,0.1, 0.1) (300,0.2, 0.1) (300,0.3, 0.1) (300,0.4, 0.1) (300,0.5, 0.1) (300,0.6, 0.1) (300,0.7, 0.1) (300,0.8, 0.1) (300,0.9, 0.1) (300,1.0,0.1)
2 (240,0.1, 0.1) (240,0.2, 0.1) (240,0.3, 0.1) (240,0.4, 0.1) (240,0.5, 0.1) (240,0.6, 0.1) (240,0.7, 0.1) (240,0.8, 0.1) (240,0.9, 0.1) (240,1.0,0.1)
3 (180,0.1, 0.1) (180,0.2, 0.1) (180,0.3, 0.1) (180,0.4, 0.1) (180,0.5, 0.1) (180,0.6, 0.1) (180,0.7, 0.1) (180,0.8, 0.1) (180,0.9, 0.1) (180,1.0,0.1)
4 (120,0.1, 0.1) (120,0.2, 0.1) (120,0.3, 0.1) (120,0.4, 0.1) (120,0.5, 0.1) (120,0.6, 0.1) (120,0.7, 0.1) (120,0.8, 0.1) (120,0.9, 0.1) (120,1.0,0.1)
5 (60,0.1, 0.1) (60,0.2, 0.1) (60,0.3, 0.1) (60,0.4, 0.1) (60,0.5, 0.1) (60,0.6, 0.1) (60,0.7, 0.1) (60,0.8, 0.1) (60,0.9, 0.1) (60,1.0,0.1)
6 (0,0.0, 0.1) (0,0.1, 0.1) (0,0.2, 0.1) (0,0.3, 0.1) (0,0.4, 0.1) (0,0.5, 0.1) (0,0.6, 0.1) (0,0.7, 0.1) (0,0.8, 0.1) (0,0.9, 0.1) (0,1.0,0.1)
TABLE 4
Figure BDA0003117705900000163
Figure BDA0003117705900000171
TABLE 5
k＝4 1 2 3 4 5 6 7 8 9 10 11
1 (300,0.1, 0.3) (300,0.2, 0.3) (300,0.3, 0.3) (300,0.4, 0.3) (300,0.5, 0.3) (300,0.6, 0.3) (300,0.7, 0.3) (300,0.8, 0.3) (300,0.9, 0.3) (300,1.0,0.3)
2 (240,0.1, 0.3) (240,0.2, 0.3) (240,0.3, 0.3) (240,0.4, 0.3) (240,0.5, 0.3) (240,0.6, 0.3) (240,0.7, 0.3) (240,0.8, 0.3) (240,0.9, 0.3) (240,1.0,0.3)
3 (180,0.1, 0.3) (180,0.2, 0.3) (180,0.3, 0.3) (180,0.4, 0.3) (180,0.5, 0.3) (180,0.6, 0.3) (180,0.7, 0.3) (180,0.8, 0.3) (180,0.9, 0.3) (180,1.0,0.3)
4 (120,0.1, 0.3) (120,0.2, 0.3) (120,0.3, 0.3) (120,0.4, 0.3) (120,0.5, 0.3) (120,0.6, 0.3) (120,0.7, 0.3) (120,0.8, 0.3) (120,0.9, 0.3) (120,1.0,0.3)
5 (60,0.1, 0.3) (60,0.2, 0.3) (60,0.3, 0.3) (60,0.4, 0.3) (60,0.5, 0.3) (60,0.6, 0.3) (60,0.7, 0.3) (60,0.8, 0.3) (60,0.9, 0.3) (60,1.0,0.3)
6 (0,0.0, 0.3) (0,0.1, 0.3) (0,0.2, 0.3) (0,0.3, 0.3) (0,0.4, 0.3) (0,0.5, 0.3) (0,0.6, 0.3) (0,0.7, 0.3) (0,0.8, 0.3) (0,0.9, 0.3) (0,1.0,0.3)
TABLE 6
k＝5 1 2 3 4 5 6 7 8 9 10 11
1 (300,0.1, 0.4) (300,0.2, 0.4) (300,0.3, 0.4) (300,0.4, 0.4) (300,0.5, 0.4) (300,0.6, 0.4) (300,0.7, 0.4) (300,0.8, 0.4) (300,0.9, 0.4) (300,1.0,0.4)
2 (240,0.1, 0.4) (240,0.2, 0.4) (240,0.3, 0.4) (240,0.4, 0.4) (240,0.5, 0.4) (240,0.6, 0.4) (240,0.7, 0.4) (240,0.8, 0.4) (240,0.9, 0.4) (240,1.0,0.4)
3 (180,0.1, 0.4) (180,0.2, 0.4) (180,0.3, 0.4) (180,0.4, 0.4) (180,0.5, 0.4) (180,0.6, 0.4) (180,0.7, 0.4) (180,0.8, 0.4) (180,0.9, 0.4) (180,1.0,0.4)
4 (120,0.1, 0.4) (120,0.2, 0.4) (120,0.3, 0.4) (120,0.4, 0.4) (120,0.5, 0.4) (120,0.6, 0.4) (120,0.7, 0.4) (120,0.8, 0.4) (120,0.9, 0.4) (120,1.0,0.4)
5 (60,0.1, 0.4) (60,0.2, 0.4) (60,0.3, 0.4) (60,0.4, 0.4) (60,0.5, 0.4) (60,0.6, 0.4) (60,0.7, 0.4) (60,0.8, 0.4) (60,0.9, 0.4) (60,1.0,0.4)
6 (0,0.0, 0.4) (0,0.1, 0.4) (0,0.2, 0.4) (0,0.3, 0.4) (0,0.4, 0.4) (0,0.5, 0.4) (0,0.6, 0.4) (0,0.7, 0.4) (0,0.8, 0.4) (0,0.9, 0.4) (0,1.0,0.4)
TABLE 7
k＝6 1 2 3 4 5 6 7 8 9 10 11
1 (300,0.1, 0.5) (300,0.2, 0.5) (300,0.3, 0.5) (300,0.4, 0.5) (300,0.5, 0.5) (300,0.6, 0.5) (300,0.7, 0.5) (300,0.8, 0.5) (300,0.9, 0.5) (300,1.0,0.5)
2 (240,0.1, 0.5) (240,0.2, 0.5) (240,0.3, 0.5) (240,0.4, 0.5) (240,0.5, 0.5) (240,0.6, 0.5) (240,0.7, 0.5) (240,0.8, 0.5) (240,0.9, 0.5) (240,1.0,0.5)
3 (180,0.1, 0.5) (180,0.2, 0.5) (180,0.3, 0.5) (180,0.4, 0.5) (180,0.5, 0.5) (180,0.6, 0.5) (180,0.7, 0.5) (180,0.8, 0.5) (180,0.9, 0.5) (180,1.0,0.5)
4 (120,0.1, 0.5) (120,0.2, 0.5) (120,0.3, 0.5) (120,0.4, 0.5) (120,0.5, 0.5) (120,0.6, 0.5) (120,0.7, 0.5) (120,0.8, 0.5) (120,0.9, 0.5) (120,1.0,0.5)
5 (60,0.1, 0.5) (60,0.2, 0.5) (60,0.3, 0.5) (60,0.4, 0.5) (60,0.5, 0.5) (60,0.6, 0.5) (60,0.7, 0.5) (60,0.8, 0.5) (60,0.9, 0.5) (60,1.0,0.5)
6 (0,0.0, 0.5) (0,0.1, 0.5) (0,0.2, 0.5) (0,0.3, 0.5) (0,0.4, 0.5) (0,0.5, 0.5) (0,0.6, 0.5) (0,0.7, 0.5) (0,0.8, 0.5) (0,0.9, 0.5) (0,1.0,0.5)
TABLE 8
k＝7 1 2 3 4 5 6 7 8 9 10 11
1 (300,0.1, 0.6) (300,0.2, 0.6) (300,0.3, 0.6) (300,0.4, 0.6) (300,0.5, 0.6) (300,0.6, 0.6) (300,0.7, 0.6) (300,0.8, 0.6) (300,0.9, 0.6) (300,1.0,0.6)
2 (240,0.1, 0.6) (240,0.2, 0.6) (240,0.3, 0.6) (240,0.4, 0.6) (240,0.5, 0.6) (240,0.6, 0.6) (240,0.7, 0.6) (240,0.8, 0.6) (240,0.9, 0.6) (240,1.0,0.6)
3 (180,0.1, 0.6) (180,0.2, 0.6) (180,0.3, 0.6) (180,0.4, 0.6) (180,0.5, 0.6) (180,0.6, 0.6) (180,0.7, 0.6) (180,0.8, 0.6) (180,0.9, 0.6) (180,1.0,0.6)
4 (120,0.1, 0.6) (120,0.2, 0.6) (120,0.3, 0.6) (120,0.4, 0.6) (120,0.5, 0.6) (120,0.6, 0.6) (120,0.7, 0.6) (120,0.8, 0.6) (120,0.9, 0.6) (120,1.0,0.6)
5 (60,0.1, 0.6) (60,0.2, 0.6) (60,0.3, 0.6) (60,0.4, 0.6) (60,0.5, 0.6) (60,0.6, 0.6) (60,0.7, 0.6) (60,0.8, 0.6) (60,0.9, 0.6) (60,1.0,0.6)
6 (0,0.0, 0.6) (0,0.1, 0.6) (0,0.2, 0.6) (0,0.3, 0.6) (0,0.4, 0.6) (0,0.5, 0.6) (0,0.6, 0.6) (0,0.7, 0.6) (0,0.8, 0.6) (0,0.9, 0.6) (0,1.0,0.6)
TABLE 9
Figure BDA0003117705900000172
Figure BDA0003117705900000181
Watch 10
k＝9 1 2 3 4 5 6 7 8 9 10 11
1 (300,0.1, 0.8) (300,0.2, 0.8) (300,0.3, 0.8) (300,0.4, 0.8) (300,0.5, 0.8) (300,0.6, 0.8) (300,0.7, 0.8) (300,0.8, 0.8) (300,0.9, 0.8) (300,1.0,0.8)
2 (240,0.1, 0.8) (240,0.2, 0.8) (240,0.3, 0.8) (240,0.4, 0.8) (240,0.5, 0.8) (240,0.6, 0.8) (240,0.7, 0.8) (240,0.8, 0.8) (240,0.9, 0.8) (240,1.0,0.8)
3 (180,0.1, 0.8) (180,0.2, 0.8) (180,0.3, 0.8) (180,0.4, 0.8) (180,0.5, 0.8) (180,0.6, 0.8) (180,0.7, 0.8) (180,0.8, 0.8) (180,0.9, 0.8) (180,1.0,0.8)
4 (120,0.1, 0.8) (120,0.2, 0.8) (120,0.3, 0.8) (120,0.4, 0.8) (120,0.5, 0.8) (120,0.6, 0.8) (120,0.7, 0.8) (120,0.8, 0.8) (120,0.9, 0.8) (120,1.0,0.8)
5 (60,0.1, 0.8) (60,0.2, 0.8) (60,0.3, 0.8) (60,0.4, 0.8) (60,0.5, 0.8) (60,0.6, 0.8) (60,0.7, 0.8) (60,0.8, 0.8) (60,0.9, 0.8) (60,1.0,0.8)
6 (0,0.0, 0.8) (0,0.1, 0.8) (0,0.2, 0.8) (0,0.3, 0.8) (0,0.4, 0.8) (0,0.5, 0.8) (0,0.6, 0.8) (0,0.7, 0.8) (0,0.8, 0.8) (0,0.9, 0.8) (0,1.0,0.8)
TABLE 11
k＝ 10 1 2 3 4 5 6 7 8 9 10 11
1 (300,0.1, 0.9) (300,0.2, 0.9) (300,0.3, 0.9) (300,0.4, 0.9) (300,0.5, 0.9) (300,0.6, 0.9) (300,0.7, 0.9) (300,0.8, 0.9) (300,0.9, 0.9) (300,1.0,0.9)
2 (240,0.1, 0.9) (240,0.2, 0.9) (240,0.3, 0.9) (240,0.4, 0.9) (240,0.5, 0.9) (240,0.6, 0.9) (240,0.7, 0.9) (240,0.8, 0.9) (240,0.9, 0.9) (240,1.0,0.9)
3 (180,0.1, 0.9) (180,0.2, 0.9) (180,0.3, 0.9) (180,0.4, 0.9) (180,0.5, 0.9) (180,0.6, 0.9) (180,0.7, 0.9) (180,0.8, 0.9) (180,0.9, 0.9) (180,1.0,0.9)
4 (120,0.1, 0.9) (120,0.2, 0.9) (120,0.3, 0.9) (120,0.4, 0.9) (120,0.5, 0.9) (120,0.6, 0.9) (120,0.7, 0.9) (120,0.8, 0.9) (120,0.9, 0.9) (120,1.0,0.9)
5 (60,0.1, 0.9) (60,0.2, 0.9) (60,0.3, 0.9) (60,0.4, 0.9) (60,0.5, 0.9) (60,0.6, 0.9) (60,0.7, 0.9) (60,0.8, 0.9) (60,0.9, 0.9) (60,1.0,0.9)
6 (0,0.0, 0.9) (0,0.1, 0.9) (0,0.2, 0.9) (0,0.3, 0.9) (0,0.4, 0.9) (0,0.5, 0.9) (0,0.6, 0.9) (0,0.7, 0.9) (0,0.8, 0.9) (0,0.9, 0.9) (0,1.0,0.9)
TABLE 12
k＝ 11 1 2 3 4 5 6 7 8 9 10 11
1 (300,0.1, 1.0) (300,0.2, 1.0) (300,0.3, 1.0) (300,0.4, 1.0) (300,0.5, 1.0) (300,0.6, 1.0) (300,0.7, 1.0) (300,0.8, 1.0) (300,0.9, 1.0) (300,1.0,1.0)
2 (240,0.1, 1.0) (240,0.2, 1.0) (240,0.3, 1.0) (240,0.4, 1.0) (240,0.5, 1.0) (240,0.6, 1.0) (240,0.7, 1.0) (240,0.8, 1.0) (240,0.9, 1.0) (240,1.0,1.0)
3 (180,0.1, 1.0) (180,0.2, 1.0) (180,0.3, 1.0) (180,0.4, 1.0) (180,0.5, 1.0) (180,0.6, 1.0) (180,0.7, 1.0) (180,0.8, 1.0) (180,0.9, 1.0) (180,1.0,1.0)
4 (120,0.1, 1.0) (120,0.2, 1.0) (120,0.3, 1.0) (120,0.4, 1.0) (120,0.5, 1.0) (120,0.6, 1.0) (120,0.7, 1.0) (120,0.8, 1.0) (120,0.9, 1.0) (120,1.0,1.0)
5 (60,0.1, 1.0) (60,0.2, 1.0) (60,0.3, 1.0) (60,0.4, 1.0) (60,0.5, 1.0) (60,0.6, 1.0) (60,0.7, 1.0) (60,0.8, 1.0) (60,0.9, 1.0) (60,1.0,1.0)
6 (0,0.0, 1.0) (0,0.1, 1.0) (0,0.2, 1.0) (0,0.3, 1.0) (0,0.4, 1.0) (0,0.5, 1.0) (0,0.6, 1.0) (0,0.7, 1.0) (0,0.8, 1.0) (0,0.9, 1.0) (0,1.0,1.0)
The chromatographic color values of the 6 isochromatic surface grid dot array are shown in tables 13-18.
Watch 13
i＝1 1 2 3 4 5 6 7 8 9 10 11
1 (0,0.0, 1.0) (0,0.1, 1.0) (0,0.2, 1.0) (0,0.3, 1.0) (0,0.4, 1.0) (0,0.5, 1.0) (0,0.6, 1.0) (0,0.7, 1.0) (0,0.8, 1.0) (0,0.9, 1.0) (0,1.0,1.0)
2 (0,0.0, 0.9) (0,0.1, 0.9) (0,0.2, 0.9) (0,0.3, 0.9) (0,0.4, 0.9) (0,0.5, 0.9) (0,0.6, 0.9) (0,0.7, 0.9) (0,0.8, 0.9) (0,0.9, 0.9) (0,1.0,0.9)
3 (0,0.0, 0.8) (0,0.1, 0.8) (0,0.2, 0.8) (0,0.3, 0.8) (0,0.4, 0.8) (0,0.5, 0.8) (0,0.6, 0.8) (0,0.7, 0.8) (0,0.8, 0.8) (0,0.9, 0.8) (0,1.0,0.8)
4 (0,0.0, 0.7) (0,0.1, 0.7) (0,0.2, 0.7) (0,0.3, 0.7) (0,0.4, 0.7) (0,0.5, 0.7) (0,0.6, 0.7) (0,0.7, 0.7) (0,0.8, 0.7) (0,0.9, 0.7) (0,1.0,0.7)
5 (0,0.0, 0.6) (0,0.1, 0.6) (0,0.2, 0.6) (0,0.3, 0.6) (0,0.4, 0.6) (0,0.5, 0.6) (0,0.6, 0.6) (0,0.7, 0.6) (0,0.8, 0.6) (0,0.9, 0.6) (0,1.0,0.6)
6 (0,0.0, 0.5) (0,0.1, 0.5) (0,0.2, 0.5) (0,0.3, 0.5) (0,0.4, 0.5) (0,0.5, 0.5) (0,0.6, 0.5) (0,0.7, 0.5) (0,0.8, 0.5) (0,0.9, 0.5) (0,1.0,0.5)
7 (0,0.0, 0.4) (0,0.1, 0.4) (0,0.2, 0.4) (0,0.3, 0.4) (0,0.4, 0.4) (0,0.5, 0.4) (0,0.6, 0.4) (0,0.7, 0.4) (0,0.8, 0.4) (0,0.9, 0.4) (0,1.0,0.4)
8 (0,0.0, 0.3) (0,0.1, 0.3) (0,0.2, 0.3) (0,0.3, 0.3) (0,0.4, 0.3) (0,0.5, 0.3) (0,0.6, 0.3) (0,0.7, 0.3) (0,0.8, 0.3) (0,0.9, 0.3) (0,1.0,0.3)
9 (0,0.0, 0.2) (0,0.1, 0.2) (0,0.2, 0.2) (0,0.3, 0.2) (0,0.4, 0.2) (0,0.5, 0.2) (0,0.6, 0.2) (0,0.7, 0.2) (0,0.8, 0.2) (0,0.9, 0.2) (0,1.0,0.2)
10 (0,0.0, 0.1) (0,0.1, 0.1) (0,0.2, 0.1) (0,0.3, 0.1) (0,0.4, 0.1) (0,0.5, 0.1) (0,0.6, 0.1) (0,0.7, 0.1) (0,0.8, 0.1) (0,0.9, 0.1) (0,1.0,0.1)
11 (0,0.0, 0.0) (0,0.1, 0.0) (0,0.2, 0.0) (0,0.3, 0.0) (0,0.4, 0.0) (0,0.5, 0.0) (0,0.6, 0.0) (0,0.7, 0.0) (0,0.8, 0.0) (0,0.9, 0.0) (0,1.0,0.0)
TABLE 14
Figure BDA0003117705900000182
Figure BDA0003117705900000191
Watch 15
i＝ 3 1 2 3 4 5 6 7 8 9 10 11
1 (0,0.0, 1.0) (120,0.1, 1.0) (120,0.2, 1.0) (120,0.3, 1.0) (120,0.4, 1.0) (120,0.5, 1.0) (120,0.6, 1.0) (120,0.7, 1.0) (120,0.8, 1.0) (120,0.9, 1.0) (120,1.0,1.0)
2 (0,0.0, 0.9) (120,0.1, 0.9) (120,0.2, 0.9) (120,0.3, 0.9) (120,0.4, 0.9) (120,0.5, 0.9) (120,0.6, 0.9) (120,0.7, 0.9) (120,0.8, 0.9) (120,0.9, 0.9) (120,1.0,0.9)
3 (0,0.0, 0.8) (120,0.1, 0.8) (120,0.2, 0.8) (120,0.3, 0.8) (120,0.4, 0.8) (120,0.5, 0.8) (120,0.6, 0.8) (120,0.7, 0.8) (120,0.8, 0.8) (120,0.9, 0.8) (120,1.0,0.8)
4 (0,0.0, 0.7) (120,0.1, 0.7) (120,0.2, 0.7) (120,0.3, 0.7) (120,0.4, 0.7) (120,0.5, 0.7) (120,0.6, 0.7) (120,0.7, 0.7) (120,0.8, 0.7) (120,0.9, 0.7) (120,1.0,0.7)
5 (0,0.0, 0.6) (120,0.1, 0.6) (120,0.2, 0.6) (120,0.3, 0.6) (120,0.4, 0.6) (120,0.5, 0.6) (120,0.6, 0.6) (120,0.7, 0.6) (120,0.8, 0.6) (120,0.9, 0.6) (120,1.0,0.6)
6 (0,0.0, 0.5) (120,0.1, 0.5) (120,0.2, 0.5) (120,0.3, 0.5) (120,0.4, 0.5) (120,0.5, 0.5) (120,0.6, 0.5) (120,0.7, 0.5) (120,0.8, 0.5) (120,0.9, 0.5) (120,1.0,0.5)
7 (0,0.0, 0.4) (120,0.1, 0.4) (120,0.2, 0.4) (120,0.3, 0.4) (120,0.4, 0.4) (120,0.5, 0.4) (120,0.6, 0.4) (120,0.7, 0.4) (120,0.8, 0.4) (120,0.9, 0.4) (120,1.0,0.4)
8 (0,0.0, 0.3) (120,0.1, 0.3) (120,0.2, 0.3) (120,0.3, 0.3) (120,0.4, 0.3) (120,0.5, 0.3) (120,0.6, 0.3) (120,0.7, 0.3) (120,0.8, 0.3) (120,0.9, 0.3) (120,1.0,0.3)
9 (0,0.0, 0.2) (120,0.1, 0.2) (120,0.2, 0.2) (120,0.3, 0.2) (120,0.4, 0.2) (120,0.5, 0.2) (120,0.6, 0.2) (120,0.7, 0.2) (120,0.8, 0.2) (120,0.9, 0.2) (120,1.0,0.2)
10 (0,0.0, 0.1) (120,0.1, 0.1) (120,0.2, 0.1) (120,0.3, 0.1) (120,0.4, 0.1) (120,0.5, 0.1) (120,0.6, 0.1) (120,0.7, 0.1) (120,0.8, 0.1) (120,0.9, 0.1) (120,1.0,0.1)
11 (0,0.0, 0.0) (120,0.1, 0.0) (120,0.2, 0.0) (120,0.3, 0.0) (120,0.4, 0.0) (120,0.5, 0.0) (120,0.6, 0.0) (120,0.7, 0.0) (120,0.8, 0.0) (120,0.9, 0.0) (120,1.0,0.0)
TABLE 16
i＝4 1 2 3 4 5 6 7 8 9 10 11
1 (0,0.0, 1.0) (180,0.1, 1.0) (180,0.2, 1.0) (180,0.3, 1.0) (180,0.4, 1.0) (180,0.5, 1.0) (180,0.6, 1.0) (180,0.7, 1.0) (180,0.8, 1.0) (180,0.9, 1.0) (180,1.0,1.0)
2 (0,0.0, 0.9) (180,0.1, 0.9) (180,0.2, 0.9) (180,0.3, 0.9) (180,0.4, 0.9) (180,0.5, 0.9) (180,0.6, 0.9) (180,0.7, 0.9) (180,0.8, 0.9) (180,0.9, 0.9) (180,1.0,0.9)
3 (0,0.0, 0.8) (180,0.1, 0.8) (180,0.2, 0.8) (180,0.3, 0.8) (180,0.4, 0.8) (180,0.5, 0.8) (180,0.6, 0.8) (180,0.7, 0.8) (180,0.8, 0.8) (180,0.9, 0.8) (180,1.0,0.8)
4 (0,0.0, 0.7) (180,0.1, 0.7) (180,0.2, 0.7) (180,0.3, 0.7) (180,0.4, 0.7) (180,0.5, 0.7) (180,0.6, 0.7) (180,0.7, 0.7) (180,0.8, 0.7) (180,0.9, 0.7) (180,1.0,0.7)
5 (0,0.0, 0.6) (180,0.1, 0.6) (180,0.2, 0.6) (180,0.3, 0.6) (180,0.4, 0.6) (180,0.5, 0.6) (180,0.6, 0.6) (180,0.7, 0.6) (180,0.8, 0.6) (180,0.9, 0.6) (180,1.0,0.6)
6 (0,0.0, 0.5) (180,0.1, 0.5) (180,0.2, 0.5) (180,0.3, 0.5) (180,0.4, 0.5) (180,0.5, 0.5) (180,0.6, 0.5) (180,0.7, 0.5) (180,0.8, 0.5) (180,0.9, 0.5) (180,1.0,0.5)
7 (0,0.0, 0.4) (180,0.1, 0.4) (180,0.2, 0.4) (180,0.3, 0.4) (180,0.4, 0.4) (180,0.5, 0.4) (180,0.6, 0.4) (180,0.7, 0.4) (180,0.8, 0.4) (180,0.9, 0.4) (180,1.0,0.4)
8 (0,0.0, 0.3) (180,0.1, 0.3) (180,0.2, 0.3) (180,0.3, 0.3) (180,0.4, 0.3) (180,0.5, 0.3) (180,0.6, 0.3) (180,0.7, 0.3) (180,0.8, 0.3) (180,0.9, 0.3) (180,1.0,0.3)
9 (0,0.0, 0.2) (180,0.1, 0.2) (180,0.2, 0.2) (180,0.3, 0.2) (180,0.4, 0.2) (180,0.5, 0.2) (180,0.6, 0.2) (180,0.7, 0.2) (180,0.8, 0.2) (180,0.9, 0.2) (180,1.0,0.2)
10 (0,0.0, 0.1) (180,0.1, 0.1) (180,0.2, 0.1) (180,0.3, 0.1) (180,0.4, 0.1) (180,0.5, 0.1) (180,0.6, 0.1) (180,0.7, 0.1) (180,0.8, 0.1) (180,0.9, 0.1) (180,1.0,0.1)
11 (0,0.0, 0.0) (180,0.1, 0.0) (180,0.2, 0.0) (180,0.3, 0.0) (180,0.4, 0.0) (180,0.5, 0.0) (180,0.6, 0.0) (180,0.7, 0.0) (180,0.8, 0.0) (180,0.9, 0.0) (180,1.0,0.0)
TABLE 17
Figure BDA0003117705900000192
Figure BDA0003117705900000201
Watch 18
i＝6 1 2 3 4 5 6 7 8 9 10 11
1 (0,0.0, 1.0) (300,0.1, 1.0) (300,0.2, 1.0) (300,0.3, 1.0) (300,0.4, 1.0) (300,0.5, 1.0) (300,0.6, 1.0) (300,0.7, 1.0) (300,0.8, 1.0) (300,0.9, 1.0) (300,1.0,1.0)
2 (0,0.0, 0.9) (300,0.1, 0.9) (300,0.2, 0.9) (300,0.3, 0.9) (300,0.4, 0.9) (300,0.5, 0.9) (300,0.6, 0.9) (300,0.7, 0.9) (300,0.8, 0.9) (300,0.9, 0.9) (300,1.0,0.9)
3 (0,0.0, 0.8) (300,0.1, 0.8) (300,0.2, 0.8) (300,0.3, 0.8) (300,0.4, 0.8) (300,0.5, 0.8) (300,0.6, 0.8) (300,0.7, 0.8) (300,0.8, 0.8) (300,0.9, 0.8) (300,1.0,0.8)
4 (0,0.0, 0.7) (300,0.1, 0.7) (300,0.2, 0.7) (300,0.3, 0.7) (300,0.4, 0.7) (300,0.5, 0.7) (300,0.6, 0.7) (300,0.7, 0.7) (300,0.8, 0.7) (300,0.9, 0.7) (300,1.0,0.7)
5 (0,0.0, 0.6) (300,0.1, 0.6) (300,0.2, 0.6) (300,0.3, 0.6) (300,0.4, 0.6) (300,0.5, 0.6) (300,0.6, 0.6) (300,0.7, 0.6) (300,0.8, 0.6) (300,0.9, 0.6) (300,1.0,0.6)
6 (0,0.0, 0.5) (300,0.1, 0.5) (300,0.2, 0.5) (300,0.3, 0.5) (300,0.4, 0.5) (300,0.5, 0.5) (300,0.6, 0.5) (300,0.7, 0.5) (300,0.8, 0.5) (300,0.9, 0.5) (300,1.0,0.5)
7 (0,0.0, 0.4) (300,0.1, 0.4) (300,0.2, 0.4) (300,0.3, 0.4) (300,0.4, 0.4) (300,0.5, 0.4) (300,0.6, 0.4) (300,0.7, 0.4) (300,0.8, 0.4) (300,0.9, 0.4) (300,1.0,0.4)
8 (0,0.0, 0.3) (300,0.1, 0.3) (300,0.2, 0.3) (300,0.3, 0.3) (300,0.4, 0.3) (300,0.5, 0.3) (300,0.6, 0.3) (300,0.7, 0.3) (300,0.8, 0.3) (300,0.9, 0.3) (300,1.0,0.3)
9 (0,0.0, 0.2) (300,0.1, 0.2) (300,0.2, 0.2) (300,0.3, 0.2) (300,0.4, 0.2) (300,0.5, 0.2) (300,0.6, 0.2) (300,0.7, 0.2) (300,0.8, 0.2) (300,0.9, 0.2) (300,1.0,0.2)
10 (0,0.0, 0.1) (300,0.1, 0.1) (300,0.2, 0.1) (300,0.3, 0.1) (300,0.4, 0.1) (300,0.5, 0.1) (300,0.6, 0.1) (300,0.7, 0.1) (300,0.8, 0.1) (300,0.9, 0.1) (300,1.0,0.1)
11 (0,0.0, 0.0) (300,0.1, 0.0) (300,0.2, 0.0) (300,0.3, 0.0) (300,0.4, 0.0) (300,0.5, 0.0) (300,0.6, 0.0) (300,0.7, 0.0) (300,0.8, 0.0) (300,0.9, 0.0) (300,1.0,0.0)
The chromatographic color values for the 11 isosaturation surface grid point array are shown in tables 19-29.
Watch 19
j＝1 1
1 (0,0.0,1.0)
2 (0,0.0,0.9)
3 (0,0.0,0.8)
4 (0,0.0,0.7)
5 (0,0.0,0.6)
6 (0,0.0,0.5)
7 (0,0.0,0.4)
8 (0,0.0,0.3)
9 (0,0.0,0.2)
10 (0,0.0,0.1)
11 (0,0.0,0.0)
Watch 20
Figure BDA0003117705900000202
Figure BDA0003117705900000211
TABLE 21
j＝3 1 2 3 4 5 6
1 (0,0.2,1.0) (60,0.2,1.0) (120,0.2,1.0) (180,0.2,1.0) (240,0.2,1.0) (300,0.2,1.0)
2 (0,0.2,0.9) (60,0.2,0.9) (120,0.2,0.9) (180,0.2,0.9) (240,0.2,0.9) (300,0.2,0.9)
3 (0,0.2,0.8) (60,0.2,0.8) (120,0.2,0.8) (180,0.2,0.8) (240,0.2,0.8) (300,0.2,0.8)
4 (0,0.2,0.7) (60,0.2,0.7) (120,0.2,0.7) (180,0.2,0.7) (240,0.2,0.7) (300,0.2,0.7)
5 (0,0.2,0.6) (60,0.2,0.6) (120,0.2,0.6) (180,0.2,0.6) (240,0.2,0.6) (300,0.2,0.6)
6 (0,0.2,0.5) (60,0.2,0.5) (120,0.2,0.5) (180,0.2,0.5) (240,0.2,0.5) (300,0.2,0.5)
7 (0,0.2,0.4) (60,0.2,0.4) (120,0.2,0.4) (180,0.2,0.4) (240,0.2,0.4) (300,0.2,0.4)
8 (0,0.2,0.3) (60,0.2,0.3) (120,0.2,0.3) (180,0.2,0.3) (240,0.2,0.3) (300,0.2,0.3)
9 (0,0.2,0.2) (60,0.2,0.2) (120,0.2,0.2) (180,0.2,0.2) (240,0.2,0.2) (300,0.2,0.2)
10 (0,0.2,0.1) (60,0.2,0.1) (120,0.2,0.1) (180,0.2,0.1) (240,0.2,0.1) (300,0.2,0.1)
11 (0,0.2,0.0) (60,0.2,0.0) (120,0.2,0.0) (180,0.2,0.0) (240,0.2,0.0) (300,0.2,0.0)
TABLE 22
j＝4 1 2 3 4 5 6
1 (0,0.3,1.0) (60,0.3,1.0) (120,0.3,1.0) (180,0.3,1.0) (240,0.3,1.0) (300,0.3,1.0)
2 (0,0.3,0.9) (60,0.3,0.9) (120,0.3,0.9) (180,0.3,0.9) (240,0.3,0.9) (300,0.3,0.9)
3 (0,0.3,0.8) (60,0.3,0.8) (120,0.3,0.8) (180,0.3,0.8) (240,0.3,0.8) (300,0.3,0.8)
4 (0,0.3,0.7) (60,0.3,0.7) (120,0.3,0.7) (180,0.3,0.7) (240,0.3,0.7) (300,0.3,0.7)
5 (0,0.3,0.6) (60,0.3,0.6) (120,0.3,0.6) (180,0.3,0.6) (240,0.3,0.6) (300,0.3,0.6)
6 (0,0.3,0.5) (60,0.3,0.5) (120,0.3,0.5) (180,0.3,0.5) (240,0.3,0.5) (300,0.3,0.5)
7 (0,0.3,0.4) (60,0.3,0.4) (120,0.3,0.4) (180,0.3,0.4) (240,0.3,0.4) (300,0.3,0.4)
8 (0,0.3,0.3) (60,0.3,0.3) (120,0.3,0.3) (180,0.3,0.3) (240,0.3,0.3) (300,0.3,0.3)
9 (0,0.3,0.2) (60,0.3,0.2) (120,0.3,0.2) (180,0.3,0.2) (240,0.3,0.2) (300,0.3,0.2)
10 (0,0.3,0.1) (60,0.3,0.1) (120,0.3,0.1) (180,0.3,0.1) (240,0.3,0.1) (300,0.3,0.1)
11 (0,0.3,0.0) (60,0.3,0.0) (120,0.3,0.0) (180,0.3,0.0) (240,0.3,0.0) (300,0.3,0.0)
TABLE 23
j＝5 1 2 3 4 5 6
1 (0,0.4,1.0) (60,0.4,1.0) (120,0.4,1.0) (180,0.4,1.0) (240,0.4,1.0) (300,0.4,1.0)
2 (0,0.4,0.9) (60,0.4,0.9) (120,0.4,0.9) (180,0.4,0.9) (240,0.4,0.9) (300,0.4,0.9)
3 (0,0.4,0.8) (60,0.4,0.8) (120,0.4,0.8) (180,0.4,0.8) (240,0.4,0.8) (300,0.4,0.8)
4 (0,0.4,0.7) (60,0.4,0.7) (120,0.4,0.7) (180,0.4,0.7) (240,0.4,0.7) (300,0.4,0.7)
5 (0,0.4,0.6) (60,0.4,0.6) (120,0.4,0.6) (180,0.4,0.6) (240,0.4,0.6) (300,0.4,0.6)
6 (0,0.4,0.5) (60,0.4,0.5) (120,0.4,0.5) (180,0.4,0.5) (240,0.4,0.5) (300,0.4,0.5)
7 (0,0.4,0.4) (60,0.4,0.4) (120,0.4,0.4) (180,0.4,0.4) (240,0.4,0.4) (300,0.4,0.4)
8 (0,0.4,0.3) (60,0.4,0.3) (120,0.4,0.3) (180,0.4,0.3) (240,0.4,0.3) (300,0.4,0.3)
9 (0,0.4,0.2) (60,0.4,0.2) (120,0.4,0.2) (180,0.4,0.2) (240,0.4,0.2) (300,0.4,0.2)
10 (0,0.4,0.1) (60,0.4,0.1) (120,0.4,0.1) (180,0.4,0.1) (240,0.4,0.1) (300,0.4,0.1)
11 (0,0.4,0.0) (60,0.4,0.0) (120,0.4,0.0) (180,0.4,0.0) (240,0.4,0.0) (300,0.4,0.0)
Watch 24
Figure BDA0003117705900000212
Figure BDA0003117705900000221
TABLE 25
j＝7 1 2 3 4 5 6
1 (0,0.6,1.0) (60,0.6,1.0) (120,0.6,1.0) (180,0.6,1.0) (240,0.6,1.0) (300,0.6,1.0)
2 (0,0.6,0.9) (60,0.6,0.9) (120,0.6,0.9) (180,0.6,0.9) (240,0.6,0.9) (300,0.6,0.9)
3 (0,0.6,0.8) (60,0.6,0.8) (120,0.6,0.8) (180,0.6,0.8) (240,0.6,0.8) (300,0.6,0.8)
4 (0,0.6,0.7) (60,0.6,0.7) (120,0.6,0.7) (180,0.6,0.7) (240,0.6,0.7) (300,0.6,0.7)
5 (0,0.6,0.6) (60,0.6,0.6) (120,0.6,0.6) (180,0.6,0.6) (240,0.6,0.6) (300,0.6,0.6)
6 (0,0.6,0.5) (60,0.6,0.5) (120,0.6,0.5) (180,0.6,0.5) (240,0.6,0.5) (300,0.6,0.5)
7 (0,0.6,0.4) (60,0.6,0.4) (120,0.6,0.4) (180,0.6,0.4) (240,0.6,0.4) (300,0.6,0.4)
8 (0,0.6,0.3) (60,0.6,0.3) (120,0.6,0.3) (180,0.6,0.3) (240,0.6,0.3) (300,0.6,0.3)
9 (0,0.6,0.2) (60,0.6,0.2) (120,0.6,0.2) (180,0.6,0.2) (240,0.6,0.2) (300,0.6,0.2)
10 (0,0.6,0.1) (60,0.6,0.1) (120,0.6,0.1) (180,0.6,0.1) (240,0.6,0.1) (300,0.6,0.1)
11 (0,0.6,0.0) (60,0.6,0.0) (120,0.6,0.0) (180,0.6,0.0) (240,0.6,0.0) (300,0.6,0.0)
Watch 26
j＝8 1 2 3 4 5 6
1 (0,0.7,1.0) (60,0.7,1.0) (120,0.7,1.0) (180,0.7,1.0) (240,0.7,1.0) (300,0.7,1.0)
2 (0,0.7,0.9) (60,0.7,0.9) (120,0.7,0.9) (180,0.7,0.9) (240,0.7,0.9) (300,0.7,0.9)
3 (0,0.7,0.8) (60,0.7,0.8) (120,0.7,0.8) (180,0.7,0.8) (240,0.7,0.8) (300,0.7,0.8)
4 (0,0.7,0.7) (60,0.7,0.7) (120,0.7,0.7) (180,0.7,0.7) (240,0.7,0.7) (300,0.7,0.7)
5 (0,0.7,0.6) (60,0.7,0.6) (120,0.7,0.6) (180,0.7,0.6) (240,0.7,0.6) (300,0.7,0.6)
6 (0,0.7,0.5) (60,0.7,0.5) (120,0.7,0.5) (180,0.7,0.5) (240,0.7,0.5) (300,0.7,0.5)
7 (0,0.7,0.4) (60,0.7,0.4) (120,0.7,0.4) (180,0.7,0.4) (240,0.7,0.4) (300,0.7,0.4)
8 (0,0.7,0.3) (60,0.7,0.3) (120,0.7,0.3) (180,0.7,0.3) (240,0.7,0.3) (300,0.7,0.3)
9 (0,0.7,0.2) (60,0.7,0.2) (120,0.7,0.2) (180,0.7,0.2) (240,0.7,0.2) (300,0.7,0.2)
10 (0,0.7,0.1) (60,0.7,0.1) (120,0.7,0.1) (180,0.7,0.1) (240,0.7,0.1) (300,0.7,0.1)
11 (0,0.7,0.0) (60,0.7,0.0) (120,0.7,0.0) (180,0.7,0.0) (240,0.7,0.0) (300,0.7,0.0)
Watch 27
Figure BDA0003117705900000222
Figure BDA0003117705900000231
Watch 28
j＝10 1 2 3 4 5 6
1 (0,0.9,1.0) (60,0.9,1.0) (120,0.9,1.0) (180,0.9,1.0) (240,0.9,1.0) (300,0.9,1.0)
2 (0,0.9,0.9) (60,0.9,0.9) (120,0.9,0.9) (180,0.9,0.9) (240,0.9,0.9) (300,0.9,0.9)
3 (0,0.9,0.8) (60,0.9,0.8) (120,0.9,0.8) (180,0.9,0.8) (240,0.9,0.8) (300,0.9,0.8)
4 (0,0.9,0.7) (60,0.9,0.7) (120,0.9,0.7) (180,0.9,0.7) (240,0.9,0.7) (300,0.9,0.7)
5 (0,0.9,0.6) (60,0.9,0.6) (120,0.9,0.6) (180,0.9,0.6) (240,0.9,0.6) (300,0.9,0.6)
6 (0,0.9,0.5) (60,0.9,0.5) (120,0.9,0.5) (180,0.9,0.5) (240,0.9,0.5) (300,0.9,0.5)
7 (0,0.9,0.4) (60,0.9,0.4) (120,0.9,0.4) (180,0.9,0.4) (240,0.9,0.4) (300,0.9,0.4)
8 (0,0.9,0.3) (60,0.9,0.3) (120,0.9,0.3) (180,0.9,0.3) (240,0.9,0.3) (300,0.9,0.3)
9 (0,0.9,0.2) (60,0.9,0.2) (120,0.9,0.2) (180,0.9,0.2) (240,0.9,0.2) (300,0.9,0.2)
10 (0,0.9,0.1) (60,0.9,0.1) (120,0.9,0.1) (180,0.9,0.1) (240,0.9,0.1) (300,0.9,0.1)
11 (0,0.9,0.0) (60,0.9,0.0) (120,0.9,0.0) (180,0.9,0.0) (240,0.9,0.0) (300,0.9,0.0)
Watch 29
j＝11 1 2 3 4 5 6
1 (0,1.0,1.0) (60,1.0,1.0) (120,1.0,1.0) (180,1.0,1.0) (240,1.0,1.0) (300,1.0,1.0)
2 (0,1.0,0.9) (60,1.0,0.9) (120,1.0,0.9) (180,1.0,0.9) (240,1.0,0.9) (300,1.0,0.9)
3 (0,1.0,0.8) (60,1.0,0.8) (120,1.0,0.8) (180,1.0,0.8) (240,1.0,0.8) (300,1.0,0.8)
4 (0,1.0,0.7) (60,1.0,0.7) (120,1.0,0.7) (180,1.0,0.7) (240,1.0,0.7) (300,1.0,0.7)
5 (0,1.0,0.6) (60,1.0,0.6) (120,1.0,0.6) (180,1.0,0.6) (240,1.0,0.6) (300,1.0,0.6)
6 (0,1.0,0.5) (60,1.0,0.5) (120,1.0,0.5) (180,1.0,0.5) (240,1.0,0.5) (300,1.0,0.5)
7 (0,1.0,0.4) (60,1.0,0.4) (120,1.0,0.4) (180,1.0,0.4) (240,1.0,0.4) (300,1.0,0.4)
8 (0,1.0,0.3) (60,1.0,0.3) (120,1.0,0.3) (180,1.0,0.3) (240,1.0,0.3) (300,1.0,0.3)
9 (0,1.0,0.2) (60,1.0,0.2) (120,1.0,0.2) (180,1.0,0.2) (240,1.0,0.2) (300,1.0,0.2)
10 (0,1.0,0.1) (60,1.0,0.1) (120,1.0,0.1) (180,1.0,0.1) (240,1.0,0.1) (300,1.0,0.1)
11 (0,1.0,0.0) (60,1.0,0.0) (120,1.0,0.0) (180,1.0,0.0) (240,1.0,0.0) (300,1.0,0.0)
The technical scheme is designed to construct a gridding model of the cylindrical color space, and the variables of three dimensions of the cylindrical color space are: discretizing hue angle, saturation and brightness, digitally expressing variables of three dimensions such as hue angle, chroma, lightness and the like of a cylindrical color space by using grid point coordinates, realizing a grid design with adjustable precision, completing the construction of a grid cylindrical color space grid model, designing a grid point array chromatogram which provides an equal lightness plane, an equal hue plane and an equal chroma plane of the cylindrical color space model, digitally displaying all colors in each equal lightness plane, each equal hue plane and each equal chroma plane, quantizing the color value of each grid point, freely viewing all colors in each plane, providing convenience for color selection in the later period, and not influencing the color design and innovation in the later period even if color difference exists.
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 (9)

1. The method is characterized by comprising the following steps of (1) constructing a cylindrical color space gridding model: based on a cylindrical color space with a hue circle as a cylindrical section circumference, saturation as a cylindrical section radius and brightness as a cylindrical height, a hue angle H value range of 0-360 DEG, a saturation S value range of 0-1 and a brightness L value range of 0-1 corresponding to the hue circle, aiming at the cylindrical top surface circle center position and the bottom surface circle center position respectively corresponding to the standard white and black colors, and the cylindrical color space with the specified number of standard color primary color fibers falling on the circumference with the brightness value L of 1 and the saturation value S of 1, the construction of a cylindrical color space gridding model corresponding to the specified number of primary color fibers is realized, the method comprises the following steps: step A, aiming at the cylindrical color space, m equal division is carried out on a hue angle H, n equal division is carried out on a saturation S, p equal division is carried out on brightness L, and coordinates of grid points in the cylindrical color space are obtained
Figure FDA0003117705890000011
Then entering the step B; wherein i is 1,2, …, m, j is 1,2, …, n, n +1, k is 1,2, …, p, p + 1;
step B, aiming at each grid point in the cylindrical color space, according to the following formula:
ci,j,k＝[Hi,j,k Si,j,k Li,j,k]
Figure FDA0003117705890000012
obtaining color values c of grid points in cylindrical color spacei,j,kThen entering step C; wherein Hi,j,kData values, S, representing the hue angle for each grid point in cylindrical color spacei,j,kData values, L, representing the corresponding saturation of each grid point in cylindrical color spacei,j,kData values representing the luminance corresponding to each grid point in the cylindrical color space;
step C, according to preset thetam＝360°/m、rn＝1/n、hp1/p, obtaining
Figure FDA0003117705890000013
Then entering step D;
step D, according to preset qm,n,p＝diag[θm,rn,hp]Updating and obtaining the color value c of each grid point in the cylindrical color spacei,j,k＝qm,n,p×ai,j,k。
2. The cylindrical color space gridding model construction according to claim 1, wherein: the cylindrical color space is an HSL color space, and then a grid point color value c in the HSL color space is constructedi,j,kThe conversion to its corresponding RGB value is as follows:
(1) when 0 degree<Hi,j,k<120 ° and the formula is as follows:
Figure FDA0003117705890000021
(2) when the temperature is 120 °<Hi,j,k<240 ° and the formula is as follows:
Figure FDA0003117705890000022
(3) when the temperature reaches 240 °<Hi,j,k<360 °, the formula is as follows:
Figure FDA0003117705890000023
construction of grid point color values (R) in RGB color space simultaneouslyi,j,k,Gi,j,k,Bi,j,k) To its corresponding HSL value (H)i,j,kSi,j,k Li,j,k) The conversion between is as follows:
max＝max(Ri,j,k,Gi,j,k,Bi,j,k)
min＝min(Ri,j,k,Gi,j,k,Bi,j,k)
Figure FDA0003117705890000024
Figure FDA0003117705890000025
Figure FDA0003117705890000026
wherein R isi,j,kRepresenting the data value, G, of each grid point in RGB color space corresponding to Ri,j,kData values representing the respective grid points G, B in RGB color spacei,j,kRepresenting the data value of each grid point in the RGB color space corresponding to B.
3. The cylindrical color space gridding model construction according to claim 1, wherein: the cylindrical color space is an HSV color space, and based on the R, G, B variation range of 0-255 in the RGB color model, the grid point color value c in the HSV color space is constructedi,j,k(Hi,，j,k Si,，j,k Li,j,k) The conversion to its corresponding RGB value is as follows:
Figure FDA0003117705890000031
construction of grid point color values (R) in RGB color space simultaneouslyi,j,k,Gi,j,k,Bi,j,k) To its corresponding HSV value (H)i,j,kSi,j,k Li,j,k) The conversion between is as follows:
max＝max(Ri,j,k,Gi,j,k,Bi,j,k)
min＝min(Ri,j,k,Gi,j,k,Bi,j,k)
Figure FDA0003117705890000032
Figure FDA0003117705890000033
Li,j,k＝max
wherein R isi,j,kRepresenting the data value, G, of each grid point in RGB color space corresponding to Ri,j,kData values representing the respective grid points G, B in RGB color spacei,j,kRepresenting the data value of each grid point in the RGB color space corresponding to B.
4. The visualization method of the isocandela chroma isocandela color chromatogram constructed based on the cylindrical color space gridding model in claim 1 is characterized in that: for (n +1) equal saturation planes corresponding to n equal divisions performed on the saturation S, grid point array matrices E corresponding to the respective equal saturation planes are obtained based on j being 1,2, …, n, n +1i,j,kThe following were used:
Figure FDA0003117705890000041
wherein, when j is 1:
Figure FDA0003117705890000042
when j is 2, …, n:
Figure FDA0003117705890000043
when j is n + 1:
Figure FDA0003117705890000044
5. the visualization method of the iso-hue chromatogram with equal brightness and equal saturation constructed by the cylindrical color space gridding model according to claim 2 is characterized in that: for n equal saturation planes corresponding to n equal divisions executed on the saturation S, grid point chromatographic matrixes CE corresponding to the equal saturation planes are obtained on the basis that j is 1,2, …, n, n +1i,j,kRepresents:
Figure FDA0003117705890000051
6. the visualization method of the isocandela chroma isocandela color chromatogram constructed based on the cylindrical color space gridding model in claim 1 is characterized in that: (p +1) equal luminance planes each perpendicular to the coordinate axis of the luminance L, to which p equal division is performed for the luminance L, and based on k being 1,2, …, p, p +1, a grid point array matrix a is obtained in which each equal luminance plane corresponds respectivelyi,j,kThe following were used:
Figure FDA0003117705890000052
wherein, when k is 1:
Figure FDA0003117705890000053
when k is 2, …, p:
Figure FDA0003117705890000054
when k is p + 1:
Figure FDA0003117705890000061
7. the visualization method of the iso-hue chromatogram with equal brightness and equal saturation constructed by the cylindrical color space gridding model according to claim 4 is characterized in that: p equal luminance surfaces corresponding to p equal division performed on the luminance V are obtained, and grid point chromatogram matrices CA corresponding to the equal luminance surfaces are obtained based on k being 1,2, …, p, p +1i,j,kRepresents:
Figure FDA0003117705890000062
8. the visualization method of the isocandela chroma isocandela color chromatogram constructed based on the cylindrical color space gridding model in claim 1 is characterized in that: for m equal hue surfaces which are respectively collinear with the coordinate axis of the brightness V and are corresponding to m equal divisions executed by the hue angle H, a grid point array matrix D corresponding to each equal hue surface is respectively obtained based on the conditions that i is 1,2, … and mi,j,kThe following were used:
Figure FDA0003117705890000063
wherein, when i ═ 1:
Figure FDA0003117705890000064
when i is 2, …, m-1:
Figure FDA0003117705890000071
when i ═ m:
Figure FDA0003117705890000072
9. the method for visualizing the isocandela chroma isocandela color spectrum built by the cylindrical color space gridding model according to claim 6, wherein the method comprises the following steps: m equal division corresponding to m equal color phase planes executed by the hue angle H is carried out, and a grid point chromatographic matrix CD corresponding to each equal color phase plane is obtained on the basis that i is 1,2, …, mi,j,kRepresents:
Figure FDA0003117705890000073
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