CN113538691B - HSI gridding model construction and equal brightness equal chroma equal color spectrum visualization method - Google Patents

HSI gridding model construction and equal brightness equal chroma equal color spectrum visualization method Download PDF

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CN113538691B
CN113538691B CN202110666703.8A CN202110666703A CN113538691B CN 113538691 B CN113538691 B CN 113538691B CN 202110666703 A CN202110666703 A CN 202110666703A CN 113538691 B CN113538691 B CN 113538691B
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薛元
朱文硕
孙显强
崔鹏
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Jiangnan University
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Abstract

The invention relates to HSI gridding model construction, gridding processing is carried out on three dimensional variables such as hue angle, chroma and brightness of an HSI color model, the hue angle, the chroma and the brightness are related through grid point coordinates, the construction of a gridding HSI color space model is efficiently realized, and a conversion method based on grid point coordinates and grid point colors of the HSI color model is designed specifically; based on the HSI color space model, the visualization method of equal-chroma equal-color-spectrum of equal brightness is further realized, the construction of each grid point array model and matrix in the equal-brightness surface, equal-color-phase surface and equal-color-spectrum surface of the HSI color space is efficiently realized, and the digital expression and the visualization of grid point chromatograms of the equal-brightness surface, the equal-color-phase surface and the equal-color-spectrum surface of the HSI color space are realized.

Description

HSI gridding model construction and equal brightness equal chroma equal color spectrum visualization method
Technical Field
The invention relates to a visualization method for HSI gridding model construction and equal-brightness equal-chroma equal-color phase chromatography, belonging to the technical field of spinning chromatography.
Background
The HSI (Hue, saturation AND INTENSITY) color model belongs to the Intensity/Saturation/Hue (Intensity/Saturation/Hue) type color space, which, starting from the human visual system, describes colors in terms of Hue (Hue), saturation (Saturation or Chroma) and Brightness (Intensity or Brightness). As shown in fig. 1, the HSI color space is a biconic model with a hue circle as a circumference, a chroma as a radius, and a brightness as a high, wherein the chroma value range is 0 ° to 360 °, the chroma value range is 0 to 1, and the brightness value range is 0 to 1. The RGB values of the standard octal color RYGCBMWK and the color values in the HSI color space are shown in table 1.
TABLE 1
Visualization of HSI space full gamut color is very important for color design using color change laws, and HSI color space conforms to human visual perception of color and is thus widely used. However, the existing HSI color space theory has the following problems:
1. Although the hue angle, chroma and lightness of the HSI color model and the value range thereof are defined based on a polar coordinate system, the meshing theory of the HSI color model is not established, and quantitative analysis of the color distribution rule of the HSI color model from three dimensions such as hue angle, chroma and lightness is lacking;
2. Although the HSI color model is deduced based on the RGB color model, the HSI gridding color model which can correlate hue angle, chroma and brightness is not constructed, and full-color-gamut color spectrum of the HSI color space cannot be digitally expressed.
3. Although the equal brightness plane, the equal color phase plane, and the equal chroma plane are defined based on the HSI color model, calculation methods of grid point array chromatograms on the equal brightness plane, the equal color phase plane, and the equal chroma plane of the HSI color model are not given.
Disclosure of Invention
The technical problem to be solved by the invention is to provide an HSI gridding model construction, wherein the gridding treatment is carried out on variables of three dimensions of hue angle, chroma and lightness of an HSI color model, and the hue angle, chroma and lightness are associated through grid point coordinates, so that gridding HSI color space modeling is effectively realized, and further, the color values of all grid points are effectively obtained.
The invention adopts the following technical scheme for solving the technical problems: the invention designs an HSI gridding model construction, which is based on a double-cone HSI color space with a hue circle as a circumference, a chroma as a radius and a brightness as high, wherein the hue angle H corresponding to the hue circle is 0-360 degrees, the chroma S is 0-1, and the brightness I is 0-1, and the construction of the HSI gridding model corresponding to a preset appointed number of primary color fibers including white and black is realized according to the corresponding relation of the appointed number of primary color fibers in the HSI color space, and comprises the following steps:
step A, dividing hue angle H by n equally for HSI color space, dividing chroma S by m equally, dividing lightness I by p equally, obtaining coordinates a i,j,k = [ I-1 j-1 k-1] of grid points in HSI color space, and then entering step B; wherein i=1, 2, …, n, j=1, 2, …, m, m+1, k=1, 2, …, p, p+1;
Step B, aiming at each grid point in the HSI color space, according to the following formula:
ti,j,k＝[Hi,j,k Si,j,k Ii,j,k]
Obtaining color values t i,j,k of grid points in the HSI color space, and then entering a step C; wherein H i,j,k represents a data value of a hue angle corresponding to each grid point in the HSI color space, S i,j,k represents a data value of a chroma corresponding to each grid point in the HSI color space, and I i,j,k represents a data value of a brightness corresponding to each grid point in the HSI color space;
Step C, obtaining the product according to preset theta n＝360°/n、rm＝1/m、hp =1/p Then enter step D;
Step D, according to the preset The color values t i,j,k＝ai,j,k×Zi,j,k for each grid point in the HSI color space are updated.
As a preferred technical scheme of the invention: according to the above t i,j,k＝[Hi,j,k Si,j,k Ii,j,k, the maximum chroma value Max (S i,j,k) on the equal brightness plane perpendicular to the coordinate axis of brightness I corresponding to each I i,j,k is as follows:
As a preferable technical scheme of the invention, the method further comprises the following steps of converting the color value of the grid point in the HSI color space and the corresponding RGB value:
(1) When the hue angle H ranges from 0 ° to 120 °, that is, when the sector area corresponding to the hue angle is an RG sector, the following is adopted:
(2) When the hue angle H is in the range of 120 ° to 240 °, that is, when the sector area corresponding to the hue angle is a GB sector, the following is adopted:
(3) When the hue angle H is 240 ° to 360 °, that is, when the sector area corresponding to the hue angle is a BR sector, the following is adopted:
Where R i,j,k represents the data value of R for each grid point in the RGB color space, G i,j,k represents the data value of G for each grid point in the RGB color space, and B i,j,k represents the data value of B for each grid point in the RGB color space.
In view of the foregoing, the present invention aims to provide a visualization method for equal-brightness equal-chroma equal-color-spectrum based on an HSI gridding model, which can efficiently obtain equal-brightness, equal-chroma and equal-hue chromatograms based on the color values of grid points in the constructed HSI gridding model.
The invention adopts the following technical scheme for solving the technical problems: the invention designs a visualization method of equal-brightness equal-chroma equal-color spectrum constructed by an HSI gridding model, based on p=2m, (p+1) equal-brightness planes which are respectively perpendicular to the coordinate axis of the brightness I and correspond to p equal-division executed for the brightness I are respectively obtained, and a grid point array matrix A i,j,k corresponding to each equal-brightness plane is respectively obtained as follows:
Wherein, (1) a i,j,k = [ i-1 j-1 k-1] when i, j, k each satisfy the following four conditions;
when k=1, j=1, i=1;
When k=2 to (p/2+1), j=1, 2, …, k, i=1, 2, …, n;
When k= (p/2+2) to p, j=1, 2, …, (p-k+2), i=1, 2, …, n;
when k=p+1, j=1, i=1;
(2) When i, j, k do not satisfy the four conditions described above, a i,j,k =0, where the grid point array matrix a i,j,k is expanded by the variable k:
When k=1, the number of the groups,
When k is more than or equal to 2 and less than or equal to (p/2+1),
When (p/2+2). Ltoreq.k.ltoreq.p,
When k=p+1,
As a preferred technical scheme of the invention: for the (p+1) equal brightness planes corresponding to the p equal division performed by the brightness I, obtaining a grid point chromatographic matrix TA i,j,k respectively corresponding to each equal brightness plane to represent:
(1) T i,j,k＝[Hi,j,k Si,j,k Ii,j,k when i, j, k each satisfy the following four conditions;
when k=1, j=1, i=1;
When k=2 to (p/2+1), j=1, 2, …, k, i=1, 2, …, n;
k= (p/2+2) to p, j=1, 2, …, (p-k+2), i=1, 2, …, n;
when k=p+1, j=1, i=1;
(2) When i, j, k do not satisfy the four conditions described above, t i,j,k =0.
As a preferred technical scheme of the invention: based on p=2m, n equipotential surfaces respectively collinear with the coordinate axis on which the brightness I is located, corresponding to n equal divisions performed on the hue angle H, respectively obtain grid point array matrices D i,j,k corresponding to the equipotential surfaces as follows:
wherein (1) when i, j, k satisfy the following conditions respectively, a i,j,k = [ i-1 j-1 k-1],
J=1, i=1, k=1 to (p+1);
j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
(2) When i, j, k do not satisfy the above condition, a i,j,k =0, where the grid point array matrix D i,j,k is expanded by the variable i:
When i=1, the number of the cells,
When 1 is more than i and less than n,
When i=n, the number of the cells,
As a preferred technical scheme of the invention: n equiphase surfaces corresponding to n equal divisions are executed for the hue angle H, and a grid point chromatographic matrix TD i,j,k corresponding to each equiphase surface is obtained to represent:
(1) T i,j,k＝[Hi,j,k Si,j,k Ii,j,k when i, j, k satisfy the following condition;
j=1, i=1, k=1 to (p+1);
j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
(2) When i, j, k do not satisfy the above condition, t i,j,k =0.
As a preferred technical scheme of the invention: based on p=2m, (m+1) equal-chroma planes corresponding to the m equal-scores performed for the chroma S are obtained as follows:
wherein (1) when i, j, k satisfy the following conditions respectively, a i,j,k = [ i-1 j-1 k-1],
J=1, i=1, k=1 to (p+1);
j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
(2) When i, j, k do not satisfy the above condition, a i,j,k =0, where the grid point array matrix C i,j,k is expanded by the variable j:
When j=1, the number of the groups,
When j=2, the number of the groups,
When 2 < j < m+1,
When j=m+1,
As a preferred technical scheme of the invention: for (m+1) equal chroma planes corresponding to the m equal divisions performed by the chroma S, obtaining a grid point chromatographic matrix TC i,j,k respectively corresponding to each equal chroma plane to represent:
(1) T i,j,k＝[Hi,j,k Si,j,k Ii,j,k when i, j, k each satisfy the following conditions;
j=1, i=1, k=1 to (p+1);
j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
(2) When i, j, k do not satisfy the above condition, t i,j,k =0.
Compared with the prior art, the HSI gridding model construction and equal-brightness equal-chroma visualization method has the following technical effects:
the invention designs an HSI gridding model construction, gridding processing is carried out on three dimensional variables such as hue angle, chroma and brightness of an HSI color model, the hue angle, the chroma and the brightness are related through grid point coordinates, the construction of a gridding HSI color space model is efficiently realized, and a conversion method based on grid point coordinates and grid point colors of the HSI color model is designed specifically; based on the HSI color space model, the visualization method of equal-chroma equal-color-spectrum of equal brightness is further realized, the construction of each grid point array model and matrix in the equal-brightness surface, equal-color-phase surface and equal-color-spectrum surface of the HSI color space is efficiently realized, and the digital expression and the visualization of grid point chromatograms of the equal-brightness surface, the equal-color-phase surface and the equal-color-spectrum surface of the HSI color space are realized.
Drawings
FIG. 1 is a schematic representation of RGB values for a standard eight primary RYGCBMWK and their color values in the HSI color space;
FIG. 2 is an illustration of equal brightness facets within an HSI color model;
FIG. 3 is an isochromatic representation within an HSI color model;
fig. 4 is an isochromatic surface illustration in an HSI color model.
Detailed Description
The following describes the embodiments of the present invention in further detail with reference to the drawings.
In the HSI color model, all colors with equal I values form an equal brightness plane, that is, brightness of all colors on the equal brightness plane is equal, as shown in fig. 2; all colors with equal H values form an equal color phase surface, namely the hues of all colors on the equal color phase surface are equal, as shown in fig. 3; all colors with equal S values constitute an equal chroma plane, i.e. the chroma of all colors on the equal chroma plane is equal, as shown in fig. 4.
Based on the analysis of the HSI color model, the invention designs an HSI gridding model construction, based on a biconical HSI color space with a hue circle as a circumference, a chroma as a radius and a brightness as high, and the corresponding hue angle H value range of the hue circle is 0-360 degrees, the corresponding chroma S value range is 0-1, and the corresponding brightness I value range is 0-1, aiming at the corresponding relation of the preset appointed number of primary color fibers containing white and black in the HSI color space, the construction of the HSI gridding model corresponding to the appointed number of primary color fibers is realized, and the method comprises the following steps.
Step A, dividing hue angle H by n equally for HSI color space, dividing chroma S by m equally, dividing lightness I by p equally, obtaining coordinates a i,j,k = [ I-1 j-1 k-1] of grid points in HSI color space, and then entering step B; where i=1, 2, …, n, j=1, 2, …, m, m+1, k=1, 2, …, p, p+1.
Step B, aiming at each grid point in the HSI color space, according to the following formula:
ti,j,k＝[Hi,j,k Si,j,k Ii,j,k]
Obtaining color values t i,j,k of grid points in the HSI color space, and then entering a step C; wherein H i,j,k represents a data value of a hue angle corresponding to each grid point in the HSI color space, S i,j,k represents a data value of a chroma corresponding to each grid point in the HSI color space, and I i,j,k represents a data value of a brightness corresponding to each grid point in the HSI color space.
And according to the t i,j,k＝[Hi,j,k Si,j,k Ii,j,k ], the maximum chroma value Max (S i,j,k) on the equal brightness plane perpendicular to the coordinate axis of the brightness I corresponding to each I i,j,k is as follows:
Step C, obtaining the product according to preset theta n＝360°/n、rm＝1/m、hp =1/p Step D is then entered.
Step D, according to the presetThe color values t i,j,k＝ai,j,k×Zi,j,k for each grid point in the HSI color space are updated.
In applications such as n=8, m=6, p=12, then
In addition, the conversion between the grid point color value and the corresponding RGB value in the HSI color space is as follows:
(1) When the hue angle H ranges from 0 ° to 120 °, that is, when the sector area corresponding to the hue angle is an RG sector, the following is adopted:
(2) When the hue angle H is in the range of 120 ° to 240 °, that is, when the sector area corresponding to the hue angle is a GB sector, the following is adopted:
(3) When the hue angle H is 240 ° to 360 °, that is, when the sector area corresponding to the hue angle is a BR sector, the following is adopted:
Where R i,j,k represents the data value of R for each grid point in the RGB color space, G i,j,k represents the data value of G for each grid point in the RGB color space, and B i,j,k represents the data value of B for each grid point in the RGB color space.
Based on the above construction of the HSI gridding model, a visualization method for equal-brightness equal-chroma equal-color spectrum based on the above construction is further designed, in practical application, based on p=2m, (p+1) equal-brightness planes which are respectively perpendicular to the coordinate axis where the brightness I is located and corresponding to p equal-division are executed for the brightness I, and grid point array matrices a i,j,k corresponding to the equal-brightness planes are respectively obtained as follows:
Wherein, (1) a u,h,k = [ i-1 j-1 k-1] when i, j, k each satisfy the following four conditions;
when k=1, j=1, i=1;
When k=2 to (p/2+1), j=1, 2, …, k, i=1, 2, …, n;
When k= (p/2+2) to p, j=1, 2, …, (p-k+2), i=1, 2, …, n;
when k=p+1, j=1, i=1.
(2) When i, j, k do not satisfy the four conditions described above, a i,j,k =0, where the grid point array matrix a i,j,k is expanded by the variable k:
When k=1, the number of the groups,
When k is more than or equal to 2 and less than or equal to (p/2+1),
When (p/2+2). Ltoreq.k.ltoreq.p,
When k=p+1,
Further, p equal-division is performed on the brightness surfaces (p+1) corresponding to the brightness I, and a grid point chromatographic matrix TA i,j,k corresponding to each equal-brightness surface is obtained to represent:
(1) T i,j,k＝[Hi,j,k Si,j,k Ii,j,k when i, j, k each satisfy the following four conditions;
when k=1, j=1, i=1;
When k=2 to (p/2+1), j=1, 2, …, k, i=1, 2, …, n;
k= (p/2+2) to p, j=1, 2, …, (p-k+2), i=1, 2, …, n;
when k=p+1, j=1, i=1;
(2) When i, j, k do not satisfy the four conditions described above, t i,j,k =0.
Also based on p=2m, n equal color phase planes respectively collinear with the coordinate axis where the brightness I is located, corresponding to n equal divisions performed for the hue angle H, respectively obtain the grid point array matrix D i,j,k corresponding to each equal color phase plane as follows:
wherein (1) when i, j, k satisfy the following conditions respectively, a i,j,k = [ i-1 j-1 k-1],
J=1, i=1, k=1 to (p+1);
j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
(2) When i, j, k do not satisfy the above condition, a i,j,k =0, where the grid point array matrix D i,j,k is expanded by the variable i:
When i=1, the number of the cells,
When 1 is more than i and less than n,
When i=n, the number of the cells,
Further, n equiphase surfaces corresponding to n equal divisions are performed on the hue angle H, and a grid point chromatographic matrix TD i,j,k corresponding to each equiphase surface is obtained to represent:
(1) T i,j,k＝[Hi,j,k Si,j,k Ii,j,k when i, j, k satisfy the following condition;
j=1, i=1, k=1 to (p+1);
j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
(2) When i, j, k do not satisfy the above condition, t i,j,k =0.
Further, based on p=2m, (m+1) equal-chroma planes corresponding to m equal-scores performed for the chroma S are obtained as follows, respectively, as grid point array matrix C i,j,k corresponding to each equal-chroma plane:
wherein (1) when i, j, k satisfy the following conditions respectively, a i,j,k = [ i-1 j-1 k-1],
J=1, i=1, k=1 to (p+1);
j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
(2) When i, j, k do not satisfy the above condition, a i,j,k =0, where the grid point array matrix C i,j,k is expanded by the variable j:
When j=1, the number of the groups,
When j=2, the number of the groups,
When 2 < j < m+1,
When j=m+1,
Further, for (m+1) equal chroma planes corresponding to the m equal divisions performed by the chroma S, obtaining a grid point chromatographic matrix TC i,j,k corresponding to each equal chroma plane, where the grid point chromatographic matrix TC i,j,k represents:
(1) T i,j,k＝[Hi,j,k Si,j,k Ii,j,k when i, j, k each satisfy the following conditions;
j=1, i=1, k=1 to (p+1);
j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
(2) When i, j, k do not satisfy the above condition, t i,j,k =0.
The visualization method of the HSI gridding model construction and equal-brightness equal-chroma phase chromatography is applied to the practical situation, and n=8, m=6 and p=12 can be used for obtaining 8 equal-chroma faces, 7 equal-chroma faces and 13 equal-brightness faces. Wherein, 13 equal brightness surface grid point array color spectrum color values are shown in tables 2-14.
TABLE 2 HSI color model and other brightness surface visualization color spectrum color values
k＝1 1 2 3 4 5 6 7
1
2
3
4
5
6
7
8 (0,0,0)
TABLE 3 HSI color model and other brightness surface visualization color spectrum color values
k＝2 1 2 3 4 5 6 7
1 (315,0.17,0.08)
2 (270,0.17,0.08)
3 (225,0.17,0.08)
4 (180,0.17,0.08)
5 (135,0.17,0.08)
6 (90,0.17,0.08)
7 (45,0.17,0.08)
8 (0,0,0.08) (0,0.17,0.08)
TABLE 4 HSI color model and other brightness surface visualization color spectrum color values
k＝3 1 2 3 4 5 6 7
1 (315,0.17,0.17) (315,0.33,0.17)
2 (270,0.17,0.17) (270,0.33,0.17)
3 (225,0.17,0.17) (225,0.33,0.17)
4 (180,0.17,0.17) (180,0.33,0.17)
5 (135,0.17,0.17) (135,0.33,0.17)
6 (90,0.17,0.17) (90,0.33,0.17)
7 (45,0.17,0.17) (45,0.33,0.17)
8 (0,0,0.17) (0,0.17,0.17) (0,0.33,0.17)
TABLE 5 HSI color model and other brightness surface visualization color spectrum color values
k＝4 1 2 3 4 5 6 7
1 (315,0.17,0.25) (315,0.33,0.25) (315,0.5,0.25)
2 (270,0.17,0.25) (270,0.33,0.25) (270,0.5,0.25)
3 (225,0.17,0.25) (225,0.33,0.25) (225,0.5,0.25)
4 (180,0.17,0.25) (180,0.33,0.25) (180,0.5,0.25)
5 (135,0.17,0.25) (135,0.33,0.25) (135,0.5,0.25)
6 (90,0.17,0.25) (90,0.33,0.25) (90,0.5,0.25)
7 (45,0.17,0.25) (45,0.33,0.25) (45,0.5,0.25)
8 (0,0,0.25) (0,0.17,0.25) (0,0.33,0.25) (0,0.5,0.25)
TABLE 6 HSI color model and other brightness surface visualization color spectrum color values
k＝5 1 2 3 4 5 6 7
1 (315,0.17,0.33) (315,0.33,0.33) (315,0.5,0.33) (315,0.67,0.33)
2 (270,0.17,0.33) (270,0.33,0.33) (270,0.5,0.33) (270,0.67,0.33)
3 (225,0.17,0.33) (225,0.33,0.33) (225,0.5,0.33) (225,0.67,0.33)
4 (180,0.17,0.33) (180,0.33,0.33) (180,0.5,0.33) (180,0.67,0.33)
5 (135,0.17,0.33) (135,0.33,0.33) (135,0.5,0.33) (135,0.67,0.33)
6 (90,0.17,0.33) (90,0.33,0.33) (90,0.5,0.33) (90,0.67,0.33)
7 (45,0.17,0.33) (45,0.33,0.33) (45,0.5,0.33) (45,0.67,0.33)
8 (0,0,0.33) (0,0.17,0.33) (0,0.33,0.33) (0,0.5,0.33) (0,0.67,0.33)
TABLE 7 HSI color model and other brightness surface visualization color spectrum color values
k＝6 1 2 3 4 5 6 7
1 (315,0.17,0.42) (315,0.33,0.42) (315,0.5,0.42) (315,0.67,0.42) (315,0.83,0.42)
2 (270,0.17,0.42) (270,0.33,0.42) (270,0.5,0.42) (270,0.67,0.42) (270,0.83,0.42)
3 (225,0.17,0.42) (225,0.33,0.42) (225,0.5,0.42) (225,0.67,0.42) (225,0.83,0.42)
4 (180,0.17,0.42) (180,0.33,0.42) (180,0.5,0.42) (180,0.67,0.42) (180,0.83,0.42)
5 (135,0.17,0.42) (135,0.33,0.42) (135,0.5,0.42) (135,0.67,0.42) (135,0.83,0.42)
6 (90,0.17,0.42) (90,0.33,0.42) (90,0.5,0.42) (90,0.67,0.42) (90,0.83,0.42)
7 (45,0.17,0.42) (45,0.33,0.42) (45,0.5,0.42) (45,0.67,0.42) (45,0.83,0.42)
8 (0,0,0.42) (0,0.17,0.42) (0,0.33,0.42) (0,0.5,0.42) (0,0.67,0.42) (0,0.83,0.42)
Table 8 HSI color model and other brightness surface visualization color spectrum color values
k＝7 1 2 3 4 5 6 7
1 (315,0.17,0.5) (315,0.33,0.5) (315,0.5,0.5) (315,0.67,0.5) (315,0.83,0.5) (315,1,0.5)
2 (270,0.17,0.5) (270,0.33,0.5) (270,0.5,0.5) (270,0.67,0.5) (270,0.83,0.5) (270,1,0.5)
3 (225,0.17,0.5) (225,0.33,0.5) (225,0.5,0.5) (225,0.67,0.5) (225,0.83,0.5) (225,1,0.5)
4 (180,0.17,0.5) (180,0.33,0.5) (180,0.5,0.5) (180,0.67,0.5) (180,0.83,0.5) (180,1,0.5)
5 (135,0.17,0.5) (135,0.33,0.5) (135,0.5,0.5) (135,0.67,0.5) (135,0.83,0.5) (135,1,0.5)
6 (90,0.17,0.5) (90,0.33,0.5) (90,0.5,0.5) (90,0.67,0.5) (90,0.83,0.5) (90,1,0.5)
7 (45,0.17,0.5) (45,0.33,0.5) (45,0.5,0.5) (45,0.67,0.5) (45,0.83,0.5) (45,1,0.5)
8 (0,0,0.5) (0,0.17,0.5) (0,0.33,0.5) (0,0.5,0.5) (0,0.67,0.5) (0,0.83,0.5) (0,1,0.5)
Table 9 HSI color model and other brightness surface visualization color spectrum color values
Table 10 HSI color model and other brightness surface visualization color spectrum color values
k＝9 1 2 3 4 5 6 7
1 (315,0.17,0.67) (315,0.33,0.67) (315,0.5,0.67) (315,0.67,0.67)
2 (270,0.17,0.67) (270,0.33,0.67) (270,0.5,0.67) (270,0.67,0.67)
3 (225,0.17,0.67) (225,0.33,0.67) (225,0.5,0.67) (225,0.67,0.67)
4 (180,0.17,0.67) (180,0.33,0.67) (180,0.5,0.67) (180,0.67,0.67)
5 (135,0.17,0.67) (135,0.33,0.67) (135,0.5,0.67) (135,0.67,0.67)
6 (90,0.17,0.67) (90,0.33,0.67) (90,0.5,0.67) (90,0.67,0.67)
7 (45,0.17,0.67) (45,0.33,0.67) (45,0.5,0.67) (45,0.67,0.67)
8 (0,0,0.67) (0,0.17,0.67) (0,0.33,0.67) (0,0.5,0.67) (0,0.67,0.67)
Table 11 HSI color model and other brightness surface visualization color spectrum color values
k＝10 1 2 3 4 5 6 7
1 (315,0.17,0.75) (315,0.33,0.75) (315,0.5,0.75)
2 (270,0.17,0.75) (270,0.33,0.75) (270,0.5,0.75)
3 (225,0.17,0.75) (225,0.33,0.75) (225,0.5,0.75)
4 (180,0.17,0.75) (180,0.33,0.75) (180,0.5,0.75)
5 (135,0.17,0.75) (135,0.33,0.75) (135,0.5,0.75)
6 (90,0.17,0.75) (90,0.33,0.75) (90,0.5,0.75)
7 (45,0.17,0.75) (45,0.33,0.75) (45,0.5,0.75)
8 (0,0,0.75) (0,0.17,0.75) (0,0.33,0.75) (0,0.5,0.75)
Table 12 HSI color model and other brightness surface visualization color spectrum color values
k＝11 1 2 3 4 5 6 7
1 (315,0.17,0.83) (315,0.33,0.83)
2 (270,0.17,0.83) (270,0.33,0.83)
3 (225,0.17,0.83) (225,0.33,0.83)
4 (180,0.17,0.83) (180,0.33,0.83)
5 (135,0.17,0.83) (135,0.33,0.83)
6 (90,0.17,0.83) (90,0.33,0.83)
7 (45,0.17,0.83) (45,0.33,0.83)
8 (0,0,0.83) (0,0.17,0.83) (0,0.33,0.83)
Table 13 HSI color model and other brightness surface visualization color spectrum color values
Table 14 HSI color model and other brightness surface visualization color spectrum color values
k＝13 1 2 3 4 5 6 7
1
2
3
4
5
6
7
8 (0,0,1)
The color values of the 8 isochromatic grid point array chromatograms are shown in tables 15-22.
TABLE 15 HSI Isochromic surface visualization of color model color values
i＝1 1 2 3 4 5 6 7
1 (0,0,1)
2 (0,0,0.92) (0,0.17,0.92)
3 (0,0,0.83) (0,0.17,0.83) (0,0.33,0.83)
4 (0,0,0.75) (0,0.17,0.75) (0,0.33,0.75) (0,0.5,0.75)
5 (0,0,0.67) (0,0.17,0.67) (0,0.33,0.67) (0,0.5,0.67) (0,0.67,0.67)
6 (0,0,0.58) (0,0.17,0.58) (0,0.33,0.58) (0,0.5,0.58) (0,0.67,0.58) (0,0.83,0.58)
7 (0,0,0.5) (0,0.17,0.5) (0,0.33,0.5) (0,0.5,0.5) (0,0.67,0.5) (0,0.83,0.5) (0,1,0.5)
8 (0,0,0.42) (0,0.17,0.42) (0,0.33,0.42) (0,0.5,0.42) (0,0.67,0.42) (0,0.83,0.42)
9 (0,0,0.33) (0,0.17,0.33) (0,0.33,0.33) (0,0.5,0.33) (0,0.67,0.33)
10 (0,0,0.25) (0,0.17,0.25) (0,0.33,0.25) (0,0.5,0.25)
11 (0,0,0.17) (0,0.17,0.17) (0,0.33,0.17)
12 (0,0,0.08) (0,0.17,0.08)
13 (0,0,0)
TABLE 16 HSI Isochromatic surface visualization color spectrum color values for color model
i＝2 1 2 3 4 5 6 7
1 (0,0,1)
2 (0,0,0.92) (45,0.17,0.92)
3 (0,0,0.83) (45,0.17,0.83) (45,0.33,0.83)
4 (0,0,0.75) (45,0.17,0.75) (45,0.33,0.75) (45,0.5,0.75)
5 (0,0,0.67) (45,0.17,0.67) (45,0.33,0.67) (45,0.5,0.67) (45,0.67,0.67)
6 (0,0,0.58) (45,0.17,0.58) (45,0.33,0.58) (45,0.5,0.58) (45,0.67,0.58) (45,0.83,0.58)
7 (0,0,0.5) (45,0.17,0.5) (45,0.33,0.5) (45,0.5,0.5) (45,0.67,0.5) (45,0.83,0.5) (45,1,0.5)
8 (0,0,0.42) (45,0.17,0.42) (45,0.33,0.42) (45,0.5,0.42) (45,0.67,0.42) (45,0.83,0.42)
9 (0,0,0.33) (45,0.17,0.33) (45,0.33,0.33) (45,0.5,0.33) (45,0.67,0.33)
10 (0,0,0.25) (45,0.17,0.25) (45,0.33,0.25) (45,0.5,0.25)
11 (0,0,0.17) (45,0.17,0.17) (45,0.33,0.17)
12 (0,0,0.08) (45,0.17,0.08)
13 (0,0,0)
TABLE 17 HSI Isochromic surface visualization color spectrum color values for color model
i＝3 1 2 3 4 5 6 7
1 (0,0,1)
2 (0,0,0.92) (90,0.17,0.92)
3 (0,0,0.83) (90,0.17,0.83) (90,0.33,0.83)
4 (0,0,0.75) (90,0.17,0.75) (90,0.33,0.75) (90,0.5,0.75)
5 (0,0,0.67) (90,0.17,0.67) (90,0.33,0.67) (90,0.5,0.67) (90,0.67,0.67)
6 (0,0,0.58) (90,0.17,0.58) (90,0.33,0.58) (90,0.5,0.58) (90,0.67,0.58) (90,0.83,0.58)
7 (0,0,0.5) (90,0.17,0.5) (90,0.33,0.5) (90,0.5,0.5) (90,0.67,0.5) (90,0.83,0.5) (90,1,0.5)
8 (0,0,0.42) (90,0.17,0.42) (90,0.33,0.42) (90,0.5,0.42) (90,0.67,0.42) (90,0.83,0.42)
9 (0,0,0.33) (90,0.17,0.33) (90,0.33,0.33) (90,0.5,0.33) (90,0.67,0.33)
10 (0,0,0.25) (90,0.17,0.25) (90,0.33,0.25) (90,0.5,0.25)
11 (0,0,0.17) (90,0.17,0.17) (90,0.33,0.17)
12 (0,0,0.08) (90,0.17,0.08)
13 (0,0,0)
Table 18 HSI color model equal-color-plane visual color spectrum color values
i＝4 1 2 3 4 5 6 7
1 (0,0,1)
2 (0,0,0.92) (135,0.17,0.92)
3 (0,0,0.83) (135,0.17,0.83) (135,0.33,0.83)
4 (0,0,0.75) (35,0.17,0.75) (135,0.33,0.75) (135,0.5,0.75)
5 (0,0,0.67) (135,0.17,0.67) (135,0.33,0.67) (135,0.5,0.67) (135,0.67,0.67)
6 (0,0,0.58) (135,0.17,0.58) (135,0.33,0.58) (135,0.5,0.58) (135,0.67,0.58) (135,0.83,0.58)
7 (0,0,0.5) (135,0.17,0.5) (135,0.33,0.5) (135,0.5,0.5) (135,0.67,0.5) (135,0.83,0.5) (135,1,0.5)
8 (0,0,0.42) (135,0.17,0.42) (135,0.33,0.42) (135,0.5,0.42) (135,0.67,0.42) (135,0.83,0.42)
9 (0,0,0.33) (135,0.17,0.33) (135,0.33,0.33) (135,0.5,0.33) (135,0.67,0.33)
10 (0,0,0.25) (135,0.17,0.25) (135,0.33,0.25) (135,0.5,0.25)
11 (0,0,0.17) (135,0.17,0.17) (135,0.33,0.17)
12 (0,0,0.08) (135,0.17,0.08)
13 (0,0,0)
TABLE 19 HSI Isochromatic surface visualization color spectrum color values for color model
Table 20 HSI color model equal-color-plane visual color spectrum color values
i＝6 1 2 3 4 5 6 7
1 (0,0,1)
2 (0,0,0.92) (225,0.17,0.92)
3 (0,0,0.83) (225,0.17,0.83) (225,0.33,0.83)
4 (0,0,0.75) (225,0.17,0.75) (225,0.33,0.75) (225,0.5,0.75)
5 (0,0,0.67) (225,0.17,0.67) (225,0.33,0.67) (225,0.5,0.67) (225,0.67,0.67)
6 (0,0,0.58) (225,0.17,0.58) (225,0.33,0.58) (225,0.5,0.58) (225,0.67,0.58) (225,0.83,0.58)
7 (0,0,0.5) (225,0.17,0.5) (225,0.33,0.5) (225,0.5,0.5) (225,0.67,0.5) (225,0.83,0.5) (225,1,0.5)
8 (0,0,0.42) (225,0.17,0.42) (225,0.33,0.42) (225,0.5,0.42) (225,0.67,0.42) (225,0.83,0.42)
9 (0,0,0.33) (225,0.17,0.33) (225,0.33,0.33) (225,0.5,0.33) (225,0.67,0.33)
10 (0,0,0.25) (225,0.17,0.25) (225,0.33,0.25) (225,0.5,0.25)
11 (0,0,0.17) (225,0.17,0.17) (225,0.33,0.17)
12 (0,0,0.08) (225,0.17,0.08)
13 (0,0,0)
TABLE 21 HSI Isochromic surface visualization color spectrum color values for color model
i＝7 1 2 3 4 5 6 7
1 (0,0,1)
2 (0,0,0.92) (270,0.17,0.92)
3 (0,0,0.83) (270,0.17,0.83) (270,0.33,0.83)
4 (0,0,0.75) (270,0.17,0.75) (270,0.33,0.75) (270,0.5,0.75)
5 (0,0,0.67) (270,0.17,0.67) (270,0.33,0.67) (270,0.5,0.67) (270,0.67,0.67)
6 (0,0,0.58) (270,0.17,0.58) (270,0.33,0.58) (270,0.5,0.58) (270,0.67,0.58) (270,0.83,0.58)
7 (0,0,0.5) (270,0.17,0.5) (270,0.33,0.5) (270,0.5,0.5) (270,0.67,0.5) (270,0.83,0.5) (270,1,0.5)
8 (0,0,0.42) (270,0.17,0.42) (270,0.33,0.42) (270,0.5,0.42) (270,0.67,0.42) (270,0.83,0.42)
9 (0,0,0.33) (270,0.17,0.33) (270,0.33,0.33) (270,0.5,0.33) (270,0.67,0.33)
10 (0,0,0.25) (270,0.17,0.25) (270,0.33,0.25) (270,0.5,0.25)
11 (0,0,0.17) (270,0.17,0.17) (270,0.33,0.17)
12 (0,0,0.08) (270,0.17,0.08)
13 (0,0,0)
Table 22 HSI color model isochromatic visualization color spectrum color values
The 7 isochromatic surface lattice point array color values are shown in tables 23-29.
Table 23 HSI color model and other chroma surface visualization color values
j＝1 1 2 3 4 5 6 7 8
1 (0,0,1)
2 (0,0,0.92)
3 (0,0,0.83)
4 (0,0,0.75)
5 (0,0,0.67)
6 (0,0,0.58)
7 (0,0,0.5)
8 (0,0,0.42)
9 (0,0,0.33)
10 (0,0,0.25)
11 (0,0,0.17)
12 (0,0,0.08)
13 (0,0,0)
Table 24 HSI color model and other chroma surface visualization color values
j＝2 1 2 3 4 5 6 7 8
1
2 (0,0.17,0.92) (45,0.17,0.92) (90,0.17,0.92) (135,0.17,0.92) (180,0.17,0.92) (225,0.17,0.92) (270,0.17,0.92) (315,0.17,0.92)
3 (0,0.17,0.83) (45,0.17,0.83) (90,0.17,0.83) (135,0.17,0.83) (180,0.17,0.83) (225,0.17,0.83) (270,0.17,0.83) (315,0.17,0.83)
4 (0,0.17,0.75) (45,0.17,0.75) (90,0.17,0.75) (135,0.17,0.75) (180,0.17,0.75) (225,0.17,0.75) (270,0.17,0.75) (315,0.17,0.75)
5 (0,0.17,0.67) (45,0.17,0.67) (90,0.17,0.67) (135,0.17,0.67) (180,0.17,0.67) (225,0.17,0.67) (270,0.17,0.67) (315,0.17,0.67)
6 (0,0.17,0.58) (45,0.17,0.58) (90,0.17,0.58) (135,0.17,0.58) (180,0.17,0.58) (225,0.17,0.58) (270,0.17,0.58) (315,0.17,0.58)
7 (0,0.17,0.5) (45,0.17,0.5) (90,0.17,0.5) (135,0.17,0.5) (180,0.17,0.5) (225,0.17,0.5) (270,0.17,0.5) (315,0.17,0.5)
8 (0,0.17,0.42) (45,0.17,0.42) (90,0.17,0.42) (135,0.17,0.42) (180,0.17,0.42) (225,0.17,0.42) (270,0.17,0.42) (315,0.17,0.42)
9 (0,0.17,0.33) (45,0.17,0.33) (90,0.17,0.33) (135,0.17,0.33) (180,0.17,0.33) (225,0.17,0.33) (270,0.17,0.33) (315,0.17,0.33)
10 (0,0.17,0.25) (45,0.17,0.25) (90,0.17,0.25) (135,0.17,0.25) (180,0.17,0.25) (225,0.17,0.25) (270,0.17,0.25) (315,0.17,0.25)
11 (0,0.17,0.17) (45,0.17,0.17) (90,0.17,0.17) (135,0.17,0.17) (180,0.17,0.17) (225,0.17,0.17) (270,0.17,0.17) (315,0.17,0.17)
12 (0,0.17,0.08) (45,0.17,0.08) (90,0.17,0.08) (135,0.17,0.08) (180,0.17,0.08) (225,0.17,0.08) (270,0.17,0.08) (315,0.17,0.08)
13
Table 25 HSI color model and other chroma surface visualization color values
Table 26 HSI color model and other chroma surface visualization color values
j＝4 1 2 3 4 5 6 7 8
1
2
3
4 (0,0.5,0.75) (45,0.5,0.75) (90,0.5,0.75) (135,0.5,0.75) (180,0.5,0.75) (225,0.5,0.75) (270,0.5,0.75) (315,0.5,0.75)
5 (0,0.5,0.67) (45,0.5,0.67) (90,0.5,0.67) (135,0.5,0.67) (180,0.5,0.67) (225,0.5,0.67) (270,0.5,0.67) (315,0.5,0.67)
6 (0,0.5,0.58) (45,0.5,0.58) (90,0.5,0.58) (135,0.5,0.58) (180,0.5,0.58) (225,0.5,0.58) (270,0.5,0.58) (315,0.5,0.58)
7 (0,0.5,0.5) (45,0.5,0.5) (90,0.5,0.5) (135,0.5,0.5) (180,0.5,0.5) (225,0.5,0.5) (270,0.5,0.5) (315,0.5,0.5)
8 (0,0.5,0.42) (45,0.5,0.42) (90,0.5,0.42) (135,0.5,0.42) (180,0.5,0.42) (225,0.5,0.42) (270,0.5,0.42) (315,0.5,0.42)
9 (0,0.5,0.33) (45,0.5,0.33) (90,0.5,0.33) (135,0.5,0.33) (180,0.5,0.33) (225,0.5,0.33) (270,0.5,0.33) (315,0.5,0.33)
10 (0,0.5,0.25) (45,0.5,0.25) (90,0.5,0.25) (135,0.5,0.25) (180,0.5,0.25) (225,0.5,0.25) (270,0.5,0.25) (315,0.5,0.25)
11
12
13
Table 27 HSI color model and other chroma surface visualization color values
j＝5 1 2 3 4 5 6 7 8
1
2
3
4
5 (0,0.67,0.67) (45,0.67,0.67) (90,0.67,0.67) (135,0.67,0.67) (180,0.67,0.67) (225,0.67,0.67) (270,0.67,0.67) (315,0.67,0.67)
6 (0,0.67,0.58) (45,0.67,0.58) (90,0.67,0.58) (135,0.67,0.58) (180,0.67,0.58) (225,0.67,0.58) (270,0.67,0.58) (315,0.67,0.58)
7 (0,0.67,0.5) (45,0.67,0.5) (90,0.67,0.5) (135,0.67,0.5) (180,0.67,0.5) (225,0.67,0.5) (270,0.67,0.5) (315,0.67,0.5)
8 (0,0.67,0.42) (45,0.67,0.42) (90,0.67,0.42) (135,0.67,0.42) (180,0.67,0.42) (225,0.67,0.42) (270,0.67,0.42) (315,0.67,0.42)
9 (0,0.67,0.33) (45,0.67,0.33) (90,0.67,0.33) (135,0.67,0.33) (180,0.67,0.33) (225,0.67,0.33) (270,0.67,0.33) (315,0.67,0.33)
10
11
12
13
Table 28 HSI color model and other chroma surface visualization color values
Table 29 HSI color model and other chroma surface visualization color values
j＝7 1 2 3 4 5 6 7 8
1
2
3
4
5
6
7 (0,1,0.5) (45,1,0.5) (90,1,0.5) (135,1,0.5) (180,1,0.5) (225,1,0.5) (270,1,0.5) (315,1,0.5)
8
9
10
11
12
13
The HSI gridding model is constructed, the three dimensional variables of the hue angle, the chroma and the lightness of the HSI color model are subjected to gridding treatment, the hue angle, the chroma and the lightness are related through grid point coordinates, the construction of a gridding HSI color space model is efficiently realized, and the conversion method based on the grid point coordinates and the grid point colors of the HSI color model is specifically designed based on the conversion method of the grid point array and the grid point array chromatography of the HSI color model; based on the HSI color space model, the visualization method of equal-chroma equal-color-spectrum of equal brightness is further realized, the construction of each grid point array model and matrix in the equal-brightness surface, equal-color-phase surface and equal-color-spectrum surface of the HSI color space is efficiently realized, and the digital expression and the visualization of grid point chromatograms of the equal-brightness surface, the equal-color-phase surface and the equal-color-spectrum surface of the HSI color space are realized.
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 spirit of the present invention.

Claims (9)

  1. The HSI gridding model construction is characterized in that: based on the HSI color space with the hue circle as the circumference, the chroma as the radius and the lightness as the high, and the hue angle H corresponding to the hue circle with the value range of 0-360 degrees, the chroma S with the value range of 0-1 and the lightness I with the value range of 0-1, the construction of the HSI gridding model corresponding to the primary color fibers with the specified number is realized aiming at the corresponding relation of the primary color fibers with the preset specified number including white and black in the HSI color space, and the method comprises the following steps:
    step A, dividing hue angle H by n equally for HSI color space, dividing chroma S by m equally, dividing lightness I by p equally, obtaining coordinates a i,j,k = [ I-1 j-1 k-1] of grid points in HSI color space, and then entering step B; wherein i=1, 2, …, n, j=1, 2, …, m, m+1, k=1, 2, …, p, p+1;
    Step B, aiming at each grid point in the HSI color space, according to the following formula:
    ti,j,k＝[Hi,j,k Si,j,k Ii,j,k]
    Obtaining color values t i,j,k of grid points in the HSI color space, and then entering a step C; wherein H i,j,k represents a data value of a hue angle corresponding to each grid point in the HSI color space, S i,j,k represents a data value of a chroma corresponding to each grid point in the HSI color space, and I i,j,k represents a data value of a brightness corresponding to each grid point in the HSI color space;
    Step C, obtaining the product according to preset theta n＝360°/n、rm＝1/m、hp =1/p Then enter step D;
    Step D, according to the preset The color values t i,j,k＝ai,j,k×Zi,j,k for each grid point in the HSI color space are updated.
  2. 2. The HSI meshing model construction of claim 1, wherein: according to the above t i,j,k＝[Hi,j,k Si,j,kIi,j,k, the maximum chroma value Max (S i,j,k) on the equal brightness plane perpendicular to the coordinate axis of brightness I corresponding to each I i,j,k is as follows:
  3. 3. the HSI meshing model construction of claim 1, further comprising converting between grid point color values and their corresponding RGB values in the HSI color space as follows:
    (1) When the hue angle H ranges from 0 ° to 120 °, that is, when the sector area corresponding to the hue angle is an RG sector, the following is adopted:
    (2) When the hue angle H is in the range of 120 ° to 240 °, that is, when the sector area corresponding to the hue angle is a GB sector, the following is adopted:
    (3) When the hue angle H is 240 ° to 360 °, that is, when the sector area corresponding to the hue angle is a BR sector, the following is adopted:
    Where R i,j,k represents the data value of R for each grid point in the RGB color space, G i,j,k represents the data value of G for each grid point in the RGB color space, and B i,j,k represents the data value of B for each grid point in the RGB color space.
  4. 4. A visualization method for isochromatic color spectrum of isochromatic brightness constructed based on the HSI meshing model of any one of claims 1 to 3, characterized in that: based on p=2m, (p+1) equal-brightness planes each perpendicular to the coordinate axis where the brightness I is located, corresponding to p equal-division performed for the brightness I, the grid point array matrix a i,j,k corresponding to each equal-brightness plane is obtained as follows:
    Wherein, (1) a i,j,k = [ i-1 j-1 k-1] when i, j, k each satisfy the following four conditions;
    when k=1, j=1, i=1;
    When k=2 to (p/2+1), j=1, 2, …, k, i=1, 2, …, n;
    When k= (p/2+2) to p, j=1, 2, …, (p-k+2), i=1, 2, …, n;
    when k=p+1, j=1, i=1;
    (2) When i, j, k do not satisfy the four conditions described above, a i,j,k =0, where the grid point array matrix a i,j,k is expanded by the variable k:
    When k=1, the number of the groups,
    When k is more than or equal to 2 and less than or equal to (p/2+1),
    When (p/2+2). Ltoreq.k.ltoreq.p,
    When k=p+1,
  5. 5. The method for visualizing an isochromatic color spectrum of equal brightness and equal saturation constructed by the HSI gridding model according to claim 4, wherein the method comprises the following steps: for the (p+1) equal brightness planes corresponding to the p equal division performed by the brightness I, obtaining a grid point chromatographic matrix TA i,j,k respectively corresponding to each equal brightness plane to represent:
    (1) T i,j,k＝[Hi,j,k Si,j,k Ii,j,k when i, j, k each satisfy the following four conditions;
    when k=1, j=1, i=1;
    When k=2 to (p/2+1), j=1, 2, …, k, i=1, 2, …, n;
    k= (p/2+2) to p, j=1, 2, …, (p-k+2), i=1, 2, …, n;
    when k=p+1, j=1, i=1;
    (2) When i, j, k do not satisfy the four conditions described above, t i,j,k =0.
  6. 6. A visualization method for isochromatic color spectrum of isochromatic brightness constructed based on the HSI meshing model of any one of claims 1 to 3, characterized in that: based on p=2m, n equipotential surfaces respectively collinear with the coordinate axis on which the brightness I is located, corresponding to n equal divisions performed on the hue angle H, respectively obtain grid point array matrices D i,j,k corresponding to the equipotential surfaces as follows:
    wherein (1) when i, j, k satisfy the following conditions respectively, a i,j,k = [ i-1 j-1 k-1],
    J=1, i=1, k=1 to (p+1);
    j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
    (2) When i, j, k do not satisfy the above condition, a i,j,k =0, where the grid point array matrix D i,j,k is expanded by the variable i:
    When i=1, the number of the cells,
    When 1 is more than i and less than n,
    When i=n, the number of the cells,
  7. 7. The method for visualizing an isochromatic color spectrum of equal brightness and equal saturation constructed by the HSI gridding model according to claim 6, wherein the method comprises the following steps: n equiphase surfaces corresponding to n equal divisions are executed for the hue angle H, and a grid point chromatographic matrix TD i,j,k corresponding to each equiphase surface is obtained to represent:
    (1) T i,j,k＝[Hi,j,k Si,j,k Ii,j,k when i, j, k satisfy the following condition;
    j=1, i=1, k=1 to (p+1);
    j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
    (2) When i, j, k do not satisfy the above condition, t i,j,k =0.
  8. 8. A visualization method for isochromatic color spectrum of isochromatic brightness constructed based on the HSI meshing model of any one of claims 1 to 3, characterized in that: based on p=2m, (m+1) equal-chroma planes corresponding to the m equal-scores performed for the chroma S are obtained as follows:
    wherein (1) when i, j, k satisfy the following conditions respectively, a i,j,k = [ i-1 j-1 k-1],
    J=1, i=1, k=1 to (p+1);
    j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
    (2) When i, j, k do not satisfy the above condition, a i,j,k =0, where the grid point array matrix C i,j,k is expanded by the variable j:
    When j=1, the number of the groups,
    When j=2, the number of the groups,
    When 2 < j < m+1,
    When j=m+1,
  9. 9. The method for visualizing the isochromatic color spectrum of the isochromatic brightness and the isochromatic color spectrum of the HSI meshing model according to claim 8, wherein the method comprises the following steps: for (m+1) equal chroma planes corresponding to the m equal divisions performed by the chroma S, obtaining a grid point chromatographic matrix TC i,j,k respectively corresponding to each equal chroma plane to represent:
    (1) T i,j,k＝[Hi,j,k Si,j,k Ii,j,k when i, j, k each satisfy the following conditions;
    j=1, i=1, k=1 to (p+1);
    j=2 to (m+1), j is not less than k is not less than (p-j+2), i=1 to n;
    (2) When i, j, k do not satisfy the above condition, t i,j,k =0.
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