WO2022110587A1 - Method for constructing color fiber six-dimensional color mixing space grid model and grid point array color matrix thereof, and application - Google Patents
Method for constructing color fiber six-dimensional color mixing space grid model and grid point array color matrix thereof, and application Download PDFInfo
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- 238000010276 construction Methods 0.000 claims abstract description 20
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- 238000001514 detection method Methods 0.000 claims description 6
- 238000004458 analytical method Methods 0.000 abstract description 3
- 238000012800 visualization Methods 0.000 abstract description 3
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- 238000013461 design Methods 0.000 description 9
- 238000009987 spinning Methods 0.000 description 5
- 238000004043 dyeing Methods 0.000 description 3
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- 230000000694 effects Effects 0.000 description 2
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- 238000012790 confirmation Methods 0.000 description 1
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- 238000009973 dope dyeing Methods 0.000 description 1
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- 239000002657 fibrous material Substances 0.000 description 1
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Definitions
- the invention relates to a color fiber six-dimensional color mixing space grid model, a grid point array color matrix construction method and application, and belongs to the technical field of color mixing space grid construction.
- Color fibers with different color effects can be obtained by technical means such as dyeing of textile fiber materials, dope dyeing, biological transgenic, and structural color generation.
- Colored colored yarns in theory, the basic color, blending ratio, blending method, and the structure of the forming yarns of the blended fibers have a great influence on the hue, lightness and saturation of the colored yarns, but in the actual production process, usually Based on a certain color mixing method and yarn structure, the selection of the basic color of the colored fiber and the selection of the color mixing ratio are mainly considered.
- the production of colored spun yarn requires the completion of color design, specification design and spinning process design of colored spun yarn.
- color design of color spinning there are usually the following six workflows: (1) Innovate the color of the yarn based on the existing color system, and develop the colored yarn. At this time, it is necessary to make different combinations of several colored fibers in the library and select different proportions for mixed color spinning, and select several color schemes from the trial-spun serialized colored yarns as new products for market promotion; (2) Based on popular colors or Designers personally like to select color systems to innovate yarn colors and develop colored yarns.
- the designer selects several groups of basic color systems for fiber dyeing according to his own understanding and imagination of colors, and combines several groups of color fibers selected by the designer in different combinations and selects different proportions for mixed color spinning.
- determine which kinds of colored fibers are used for mixed color spinning in what proportion? Send the trial-spun colored yarn samples to the customer for confirmation, and determine the color-spun yarn color scheme after several rounds.
- the core technology of producing colored yarns or colored yarns is to optimize the color scheme of colored yarns, whether it is based on the existing color system for yarn color innovation, or based on the designer's personal preference to select the color system for yarn color innovation, or based on the existing color system.
- For color reproduction it is necessary to be familiar with the changing laws of color hue, lightness and saturation, to be sensitive to the subtle differences between colors, and to master the color matching skills of colored yarns.
- the design of the color scheme mainly relies on the designer's personal experience and intuition.
- the completion of the color matching process mainly relies on manual sample making, manual dyeing, and manual color matching.
- the evaluation of the color matching results mainly relies on the observation of the physical samples on the spot and the subjective feeling. Evaluate.
- the color mixing process of colored fibers is the color mixing process, which belongs to the space juxtaposition of colors.
- the color mixing process of color fibers is the color mixing process of color materials.
- the traditional color matching method does not establish a digital physical model to express the color mixing process of color fibers. It is necessary to build a physical model and digitally express the color mixing process of color fibers;
- the color mixing process of colored fibers is to select several colored fibers as the basic colors, and obtain a serialized color spectrum by changing the blending ratio.
- the traditional color matching method produces mixed color samples by hand proofing, and there is no digital method to obtain the color value of the mixed color body based on the color value of the base color and the change of the mixed color ratio.
- Digital virtual color matching
- Serialized chromatograms can be obtained through the color matching process of colored fibers.
- the traditional color matching method is obtained by manual proofing, which is inefficient, time-consuming, and inconvenient for remote transmission. It is necessary to construct a standard color mixing chromatogram for the combination of eight primary color fibers such as red, green, blue, cyan, blue, magenta, black, and white to provide a reference for the color matching of colored yarns;
- the technical problem to be solved by the present invention is to provide a color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method.
- a coordinate digital quantization process is introduced to realize the six-primary color RGB color mixing space color. visualization.
- the present invention designs a color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method. , ⁇ , ⁇ , and the quality of each primary color fiber corresponds to each coordinate axis in the six-dimensional coordinate system to realize the construction of a six-dimensional color mixing grid color mixing space grid point array model, including the following steps:
- Step A Determine the maximum mass of each primary color fiber according to the preset maximum mass ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ corresponding to the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ respectively Respectively corresponding to the position of its set coordinate axis, and then enter step B;
- step C For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber ⁇ in the six-dimensional coordinate system, perform t equal division, that is, obtain t+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment Represents the position direction of the coordinate axis and the serial number of each point corresponding to the origin in the six-dimensional coordinate system to the maximum mass of the primary color fiber ⁇ on the line segment; then enter step C;
- Step C Construct the mixing ratios ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) and ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) corresponding to the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , and ⁇ respectively , ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) are as follows, and then enter step D;
- Step D Construct the quality model of any point in the cube space corresponding to the six-dimensional color mixing grid color mixing space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ as follows, and then proceed to step E;
- Step E Constructing the six-dimensional color mixing grid color mixing space corresponding to the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇
- the quality matrix of any point in the cube space is as follows, and then enter step F;
- Step F Constructing the color value model of any point in the cube space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
- step G wherein R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇ , R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇ , R ⁇ , G ⁇ , B ⁇ represents the RGB color corresponding to the primary color fiber ⁇ , R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇ , R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇ ; R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇ ; Corresponding to the color value of the mixed yarn of six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , R ⁇ (i,j,k, ⁇ , ⁇ , ⁇ ), G ⁇ (i,j,k, ⁇ , ⁇ , ⁇ ), B ⁇ (i, j, k, ⁇ , ⁇ ,
- Step G Constructing the color value matrix of any point in the cube space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
- the color value model for any point in the cube space with the preset maximum quality is as follows:
- M 1,1 [ ⁇ i,j,k, ⁇ , ⁇ , ⁇ ].
- the primary color fiber ⁇ corresponds to the X axis in the six-dimensional coordinate system
- the primary color fiber ⁇ corresponds to the Y axis in the six-dimensional coordinate system
- the primary color fiber ⁇ corresponds to the six-dimensional coordinate system.
- the Z axis of the primary color fiber ⁇ corresponds to the U axis in the six-dimensional coordinate system
- the primary color fiber ⁇ corresponds to the V axis in the six-dimensional coordinate system
- the primary color fiber ⁇ corresponds to the W axis in the six-dimensional coordinate system
- k, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i, k is a constant, and j, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i,j,k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and j, k, ⁇ are equal to 1, ..., n+1 respectively, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and j, k, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, k, ⁇ are respectively equal to 1,...,n+1, construct (n+1) 3 three-dimensional color arrays for ⁇ i,j,k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, k, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, ⁇ are respectively equal to 1,..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ are constants, and i, j , k are equal to 1 , .
- ⁇ are constants, and i, k, ⁇ , Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- j is a constant, and i, k, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ are constants, and i, j, ⁇ , Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i, j, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, k, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i is a constant based on i, and j, k, ⁇ , ⁇ , Equal to 1, ..., n+1, respectively, construct (n+1) five-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i, j, k, ⁇ , ⁇ are constants, and i, j, k, ⁇ , ⁇ are equal to 1, .
- the present invention designs an application of a six-dimensional color mixing space grid model for color fibers and a method for constructing a color matrix of a grid point array.
- ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ preset the color value of any point in the cube space with the maximum quality, stored in the database, and used to analyze the target color in the following way;
- a color detector to detect the RGB color detection data corresponding to the target color, and find the grid point corresponding to the RGB color detection data in the database; then take the grid point as the origin and the surrounding preset radius, The grid point corresponding to the target color is obtained by means of comparison; finally, the RGB color data corresponding to the target color is formed from the RGB color data corresponding to the grid point.
- a color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method and application according to the present invention compared with the prior art by using the above technical solution, have the following technical effects:
- the quality of the primary color fibers involved in the mixing is used as the coordinate axis data, and the mixed yarn object of the six primary color fibers is obtained from each grid point in the six-dimensional coordinate system space, and the mixing ratio of each primary color fiber is combined.
- the RGB color of the fiber realizes the RGB color modeling of the mixed yarn object, that is, a six-dimensional color mixing grid color mixing space grid point array model, and thus further realizes the construction of line array model, area array model, and volume array model.
- digital quantization is realized for the RGB color mixing space under the mixing of six primary color fibers, and each group of models can be called arbitrarily in practical applications to realize color visualization, which effectively improves the efficiency of color analysis and selection.
- FIG. 1 is a schematic flowchart of a six-dimensional color mixing space grid model of color fibers designed by the present invention and a method for constructing a grid point array color matrix.
- the invention designs a color fiber six-dimensional color mixing space grid model and a grid point array color matrix construction method.
- the quality of each primary color fiber corresponds to
- Each coordinate axis in the six-dimensional coordinate system realizes the construction of a six-dimensional color mixing grid color mixing space grid point array model, including the following steps A to G.
- Step A Determine the maximum mass of each primary color fiber according to the preset maximum mass ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ , ⁇ ⁇ corresponding to the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ respectively Respectively corresponding to the position of its set coordinate axis, and then go to step B.
- step C For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber ⁇ in the six-dimensional coordinate system, perform t equal division, that is, obtain t+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment Indicates the line segment from the origin in the six-dimensional coordinate system to the position direction of the coordinate axis corresponding to the maximum mass of the primary color fiber ⁇ , and the serial number of each point; then go to step C.
- Step C Construct the mixing ratios ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) and ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) corresponding to the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , and ⁇ respectively , ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ), ⁇ ⁇ (i, j, k, ⁇ , ⁇ ) are as follows, and then enter step D;
- Step D Construct the quality model of any point in the cube space corresponding to the six-dimensional color mixing grid color mixing space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ as follows, and then proceed to step E;
- Step E Constructing the six-dimensional color mixing grid color mixing space corresponding to the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇
- the quality matrix of any point in the cube space is as follows, and then enter step F;
- Step F Constructing the color value model of any point in the cube space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
- R ⁇ , G ⁇ , B ⁇ represent the RGB colors corresponding to the primary color fiber ⁇
- R ⁇ , G ⁇ , B ⁇ represent the RGB colors corresponding to the primary color fiber ⁇
- R ⁇ , G ⁇ , B ⁇ represents the RGB color corresponding to the primary color fiber ⁇
- R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇
- R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇
- R ⁇ , G ⁇ , B ⁇ represent the RGB color corresponding to the primary color fiber ⁇
- Step G Constructing the color value matrix of any point in the cube space based on the preset maximum quality of the six primary color fibers ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
- the color value model for a point is as follows:
- M 1,1 [ ⁇ i,j,k, ⁇ , ⁇ , ⁇ ].
- the base color fiber ⁇ corresponds to the X axis in the six-dimensional coordinate system
- the base color fiber ⁇ corresponds to the Y axis in the six-dimensional coordinate system
- the base color fiber ⁇ corresponds to the Z axis in the six-dimensional coordinate system
- the base color fiber ⁇ corresponds to the six-dimensional coordinate system.
- the U axis of the primary color fiber ⁇ corresponds to the V axis in the six-dimensional coordinate system
- the primary color fiber ⁇ corresponds to the W axis in the six-dimensional coordinate system.
- i, j is a constant, and k, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i,j,k, ⁇ , ⁇ , ⁇ ;
- i, k is a constant, and j, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i,j,k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and j, k, ⁇ are equal to 1, ..., n+1 respectively, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and j, k, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, k, ⁇ are respectively equal to 1,...,n+1, construct (n+1) 3 three-dimensional color arrays for ⁇ i,j,k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, k, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, ⁇ are respectively equal to 1,..., n+1, construct (n+1) 3 -dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, ⁇ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j , k are equal to 1 , .
- i is a constant
- j, k, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ are constants, and i, k, ⁇ , Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- j is a constant, and i, k, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ are constants, and i, j, ⁇ , Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i, j, ⁇ , ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- ⁇ is a constant, and i, j, k, ⁇ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ⁇ i, j, k, ⁇ , ⁇ , ⁇ ;
- i, j, k, ⁇ , ⁇ are constants, and i, j, k, ⁇ , ⁇ are equal to 1, .
- the present invention designs an application of a six-dimensional color mixing space grid model for color fibers and a method for constructing a color matrix of a grid point array.
- ⁇ , ⁇ , ⁇ , ⁇ , ⁇ , ⁇ preset the color value of any point in the cube space with the maximum quality, stored in the database, and used to analyze the target color in the following way;
- a color detector to detect the RGB color detection data corresponding to the target color, and find the grid point corresponding to the RGB color detection data in the database; then take the grid point as the origin and the surrounding preset radius, The grid point corresponding to the target color is obtained by means of comparison; finally, the RGB color data corresponding to the target color is formed from the RGB color data corresponding to the grid point.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 1 below.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 2 below.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 3 below.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 4 below.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 5 below.
- the color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 6 below.
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Abstract
A method for constructing a color fiber six-dimensional color mixing space grid model and a grid point array color matrix thereof, and an application. A coordinate digital quantification process is introduced for specified six primary color fibers, the six primary color fibers are made to respectively correspond to coordinate axes of a six-dimensional coordinate system, and by using the mass of the primary color fibers involved in mixing as coordinate axis data, a mixed yarn object of the six primary color fibers is obtained from grid points of a six-dimensional coordinate system space. Thus, RGB color modeling of the mixed yarn object is implemented in combination with the mixing ratio of each primary color fiber and the RGB color of each primary color fiber, that is, a six-dimensional color mixing grid color mixing space grid point array model is formed, thereby further realizing the construction of a line array model, an area array model and a volume array model. Digital quantification is implemented for an RGB color mixing space under the mixing of the six primary color fibers, each group of models can be arbitrarily invoked in practical applications to realize color visualization, thereby effectively improving the color analysis and selection efficiency.
Description
本发明涉及一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用,属于混色空间网格构建技术领域。The invention relates to a color fiber six-dimensional color mixing space grid model, a grid point array color matrix construction method and application, and belongs to the technical field of color mixing space grid construction.
通过对纺织纤维材料的染色、原液着色、生物转基因、结构生色等技术手段可获取具有不同色彩效应的彩色纤维,将六种不同色彩的纤维按照某种比例进行混色纺纱可得到具有某种色彩的色纺纱,理论上混纺纤维的基色、混和比例、混和方式、成型纱线的结构等因素对色纺纱色相、明度及饱和度都有较大影响,但在实际生产过程中,通常以某种混色方式和成纱结构为基础,重点考虑彩色纤维基色的选择及其混色比例的选择。利用多元基色的染色纤维或者原液着色纤维混色纺制色纺纱,并通过变动基色纤维的比例调控色纺纱的色相、明度及饱和度,是设计并实现色纺纱的必要手段。Color fibers with different color effects can be obtained by technical means such as dyeing of textile fiber materials, dope dyeing, biological transgenic, and structural color generation. Colored colored yarns, in theory, the basic color, blending ratio, blending method, and the structure of the forming yarns of the blended fibers have a great influence on the hue, lightness and saturation of the colored yarns, but in the actual production process, usually Based on a certain color mixing method and yarn structure, the selection of the basic color of the colored fiber and the selection of the color mixing ratio are mainly considered. It is a necessary means to design and realize the color spun yarn by using the dyed fibers of multiple primary colors or the dope dyed fibers to mix the colors to make the colored spun yarn, and to adjust the hue, lightness and saturation of the colored spun yarn by changing the proportion of the primary color fibers.
生产色纺纱需要完成色纺纱的色彩设计、规格设计、纺纱工艺设计。在进行色纺纱色彩设计时,通常有以下六种工作流程:(1)基于现有色系进行纱线色彩创新,开发彩色纱线。此时需要将在库的若干彩色纤维进行不同组合并选用不同比例进行混色纺纱,从试纺的系列化彩色纱线中选择几个配色方案作为新品进行市场推广;(2)基于流行色或设计师个人喜好选定色系进行纱线色彩创新,开发彩色纱线。此时由设计师根据自己对色彩的理解和想象选择几组基础色系进行纤维染色,将设计师选定的几组彩纤维进行不同组合并选用不同比例进行混色纺纱,从试纺的系列化彩色纱线中选择几个配色方案作为新品进行市场推广;(3)基于来样进行色彩复制,开发彩色纱线。在分析来样的基础上,确定采用哪几种彩色纤维按照何种比例进行混色纺纱?将试纺色纺纱样交客户确认,经若干回合后确定色纺纱配色方案。The production of colored spun yarn requires the completion of color design, specification design and spinning process design of colored spun yarn. In the color design of color spinning, there are usually the following six workflows: (1) Innovate the color of the yarn based on the existing color system, and develop the colored yarn. At this time, it is necessary to make different combinations of several colored fibers in the library and select different proportions for mixed color spinning, and select several color schemes from the trial-spun serialized colored yarns as new products for market promotion; (2) Based on popular colors or Designers personally like to select color systems to innovate yarn colors and develop colored yarns. At this time, the designer selects several groups of basic color systems for fiber dyeing according to his own understanding and imagination of colors, and combines several groups of color fibers selected by the designer in different combinations and selects different proportions for mixed color spinning. Select several color schemes from the colored yarns as new products for market promotion; (3) Carry out color reproduction based on incoming samples and develop colored yarns. On the basis of analyzing the incoming samples, determine which kinds of colored fibers are used for mixed color spinning in what proportion? Send the trial-spun colored yarn samples to the customer for confirmation, and determine the color-spun yarn color scheme after several rounds.
生产色纺纱或彩色纱的核心技术是优选彩色纱的配色方案,无论是基于现有色系进行纱线色彩创新,还是基于设计师个人喜好选定色系进行纱线色彩创新,或是基于来样进行色彩复制,都需要熟悉色彩色相、明度及饱和度的变化规律,敏感察觉色彩之间的微妙差异,掌握彩色纱线的配色技巧。The core technology of producing colored yarns or colored yarns is to optimize the color scheme of colored yarns, whether it is based on the existing color system for yarn color innovation, or based on the designer's personal preference to select the color system for yarn color innovation, or based on the existing color system. For color reproduction, it is necessary to be familiar with the changing laws of color hue, lightness and saturation, to be sensitive to the subtle differences between colors, and to master the color matching skills of colored yarns.
当前,配色方案的设计主要依靠设计师个人的经验和直觉进行,配色过程的完成主要依靠手工制样、手工染色、手工配色,配色结果的评价主要依靠在现场对实物样的观察,依托主观感受进行评价。彩色纤维的混色过程是色料混色过程,属于色彩的空间并置混色。At present, the design of the color scheme mainly relies on the designer's personal experience and intuition. The completion of the color matching process mainly relies on manual sample making, manual dyeing, and manual color matching. The evaluation of the color matching results mainly relies on the observation of the physical samples on the spot and the subjective feeling. Evaluate. The color mixing process of colored fibers is the color mixing process, which belongs to the space juxtaposition of colors.
现有色彩体系中的颜色可通过混色空间中的R、G、B值进行标定,因此任一颜色都可用混色空间的某个向量表示。如果将颜色a(R
a、G
a、B
a)、b(R
b、G
b、B
b)、b(R
b、G
b、B
b)、d(R
d、G
d、B
d)混色可得到混色样的颜色值m(R
m、G
m、B
m),则混色样的颜色值R
m=R
a+R
b+R
c+R
d、G
m=G
a+G
b+G
c+G
d、 B
m=B
a+B
b+B
c+B
d,相当于混色空间中求向量之和的运算。既然色彩及色彩的混色均可数字化表达,所以也可对彩色纤维的混色过程进行数字化表达。基于上述分析,我们认为传统配色方法主要存在以下问题:
The colors in the existing color system can be calibrated by the R, G, B values in the color mixing space, so any color can be represented by a vector in the color mixing space. If color a(R a , G a , B a ), b(R b , G b , B b ), b(R b , G b , B b ), d(R d , G d , B d ) The color value m (R m , G m , B m ) of the mixed color sample can be obtained by color mixing, then the color value of the mixed color sample R m =R a +R b +R c +R d , G m =G a +G b + G c +G d , B m =B a +B b +B c +B d , which are equivalent to the operation of summing vectors in the mixed color space. Since color and color mixing can be digitally expressed, the color mixing process of colored fibers can also be digitally expressed. Based on the above analysis, we believe that the traditional color matching method mainly has the following problems:
1、彩色纤维的混色过程是色料混色过程,传统配色方法未建立数字化的物理模型对彩色纤维的混色过程进行表达,需要构建物理模型并对彩色纤维的混色过程进行数字化表达;1. The color mixing process of color fibers is the color mixing process of color materials. The traditional color matching method does not establish a digital physical model to express the color mixing process of color fibers. It is necessary to build a physical model and digitally express the color mixing process of color fibers;
2、彩色纤维的混配色过程,就是选择几种彩色纤维作为基础颜色,通过变化混纺比得到系列化的色谱。传统配色方法通过手工打样制作混色样品,未建立基于基色颜色值以及混色比例变化求取混色体颜色值的数字化方法,需要构建彩色纤维离散混色模型及其混色色谱的可视化算法,实现彩色纱线的数字化虚拟配色;2. The color mixing process of colored fibers is to select several colored fibers as the basic colors, and obtain a serialized color spectrum by changing the blending ratio. The traditional color matching method produces mixed color samples by hand proofing, and there is no digital method to obtain the color value of the mixed color body based on the color value of the base color and the change of the mixed color ratio. Digital virtual color matching;
3、通过彩色纤维的配色过程可以得到系列化色谱。传统配色方法采用手工打样获取,获取配色色谱效率低、耗时长、不便于远程传输。需要构建红、绿、蓝、青、蓝、品红、黑、白等八基色纤维组合混配的标准混色色谱,为彩色纱线的配色提供参考依据;3. Serialized chromatograms can be obtained through the color matching process of colored fibers. The traditional color matching method is obtained by manual proofing, which is inefficient, time-consuming, and inconvenient for remote transmission. It is necessary to construct a standard color mixing chromatogram for the combination of eight primary color fibers such as red, green, blue, cyan, blue, magenta, black, and white to provide a reference for the color matching of colored yarns;
发明内容SUMMARY OF THE INVENTION
本发明所要解决的技术问题是提供一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,针对指定六基色纤维,引入坐标数字量化过程,实现六基色RGB混色空间颜色的可视化。The technical problem to be solved by the present invention is to provide a color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method. For the designated six-primary color fibers, a coordinate digital quantization process is introduced to realize the six-primary color RGB color mixing space color. visualization.
本发明为了解决上述技术问题采用以下技术方案:本发明设计了一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,针对指定六基色纤维α、β、γ、δ、ε、θ,以各基色纤维质量分别对应六维坐标系中的各根坐标轴,实现六维混色网格混色空间网格点阵列模型的构建,包括如下步骤:In order to solve the above technical problems, the present invention adopts the following technical solutions: The present invention designs a color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method. , ε, θ, and the quality of each primary color fiber corresponds to each coordinate axis in the six-dimensional coordinate system to realize the construction of a six-dimensional color mixing grid color mixing space grid point array model, including the following steps:
步骤A.根据六基色纤维α、β、γ、δ、ε、θ分别所对应的预设最大质量ω
α、ω
β、ω
γ、ω
δ、ω
ε、ω
θ,确定各基色纤维最大质量分别所对应其所设坐标轴的位置,然后进入步骤B;
Step A. Determine the maximum mass of each primary color fiber according to the preset maximum mass ω α , ω β , ω γ , ω δ , ω ε , ω θ corresponding to the six primary color fibers α, β, γ, δ, ε, θ respectively Respectively corresponding to the position of its set coordinate axis, and then enter step B;
步骤B.针对六维坐标系中原点与基色纤维α最大质量所对应其所设坐标轴位置之间的线段,执行m等分,即获得包含该线段两端顶点在内的m+1个点,且该线段上各点的质量
i=1、…、m+1,i表示该线段上由六维坐标系中原点至基色纤维α最大质量所对应其所设坐标轴位置方向、各点的序号;
Step B. For the line segment between the origin and the position of the coordinate axis corresponding to the maximum mass of the primary color fiber α in the six-dimensional coordinate system, perform m equal division, that is, obtain m+1 points including the vertices at both ends of the line segment. , and the mass of each point on the line segment i=1, .
针对六维坐标系中原点与基色纤维β最大质量所对应其所设坐标轴位置之间的线段,执行n等分,即获得包含该线段两端顶点在内的n+1个点,且该线段上各点的质量
j=1、…、n+1,j表 示该线段上由六维坐标系中原点至基色纤维β最大质量所对应其所设坐标轴位置方向、各点的序号;
For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber β in the six-dimensional coordinate system, perform n equal divisions, that is, to obtain n+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment j=1, .
针对六维坐标系中原点与基色纤维γ最大质量所对应其所设坐标轴位置之间的线段,执行p等分,即获得包含该线段两端顶点在内的p+1个点,且该线段上各点的质量
k=1、…、p+1,k表示该线段上由六维坐标系中原点至基色纤维γ最大质量所对应其所设坐标轴位置方向、各点的序号;
For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber γ in the six-dimensional coordinate system, perform p equal division, that is, to obtain p+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment k=1, .
针对六维坐标系中原点与基色纤维δ最大质量所对应其所设坐标轴位置之间的线段,执行q等分,即获得包含该线段两端顶点在内的q+1个点,且该线段上各点的质量
τ=1、…、q+1,τ表示该线段上由六维坐标系中原点至基色纤维δ最大质量所对应其所设坐标轴位置方向、各点的序号;
For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber δ in the six-dimensional coordinate system, perform q equal division, that is, obtain q+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment τ=1, .
针对六维坐标系中原点与基色纤维ε最大质量所对应其所设坐标轴位置之间的线段,执行s等分,即获得包含该线段两端顶点在内的s+1个点,且该线段上各点的质量
μ=1、…、s+1,μ表示该线段上由六维坐标系中原点至基色纤维ε最大质量所对应其所设坐标轴位置方向、各点的序号;
For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber ε in the six-dimensional coordinate system, perform s equal division, that is, obtain s+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment μ=1, .
针对六维坐标系中原点与基色纤维θ最大质量所对应其所设坐标轴位置之间的线段,执行t等分,即获得包含该线段两端顶点在内的t+1个点,且该线段上各点的质量
表示该线段上由六维坐标系中原点至基色纤维θ最大质量所对应其所设坐标轴位置方向、各点的序号;然后进入步骤C;
For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber θ in the six-dimensional coordinate system, perform t equal division, that is, obtain t+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment Represents the position direction of the coordinate axis and the serial number of each point corresponding to the origin in the six-dimensional coordinate system to the maximum mass of the primary color fiber θ on the line segment; then enter step C;
步骤C.构建六基色纤维α、β、γ、δ、ε、θ分别所对应混合比λ
α(i,j,k,τ,μ)、λ
β(i,j,k,τ,μ)、λ
γ(i,j,k,τ,μ)、λ
δ(i,j,k,τ,μ)、λ
ε(i,j,k,τ,μ)、λ
θ(i,j,k,τ,μ)如下,然后进入步骤D;
Step C. Construct the mixing ratios λ α (i, j, k, τ, μ) and λ β (i, j, k, τ, μ) corresponding to the six primary color fibers α, β, γ, δ, ε, and θ respectively , λ γ (i, j, k, τ, μ), λ δ (i, j, k, τ, μ), λ ε (i, j, k, τ, μ), λ θ (i, j, k, τ, μ) are as follows, and then enter step D;
步骤D.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量模型如下,然后进入步骤E;Step D. Construct the quality model of any point in the cube space corresponding to the six-dimensional color mixing grid color mixing space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ as follows, and then proceed to step E;
步骤E.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量矩阵如下,然后进入步骤F;Step E. Constructing the six-dimensional color mixing grid color mixing space corresponding to the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ The quality matrix of any point in the cube space is as follows, and then enter step F;
且i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
and i=1,2,3,...,m+1; j=1,2,3,...,n+1; k=1,2,3,...,p+1; τ =1,2,3,...,q+1; μ=1,2,3,...,s+1;
步骤F.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型如下:Step F. Constructing the color value model of any point in the cube space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
然后进入步骤G,其中,R
α、G
α、B
α表示基色纤维α所对应的RGB色,R
β、G
β、B
β表示基色纤维β所对应的RGB色,R
γ、G
γ、B
γ表示基色纤维γ所对应的RGB色,R
δ、G
δ、B
δ表示基色纤维δ所对应的RGB色,R
ε、G
ε、B
ε表示基色纤维ε所对应的RGB色;R
θ、G
θ、B
θ表示基色纤维θ所对应的RGB色,;ξ
i,j,k,τ,μ,θ表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的颜色值,R
ξ(i,j,k,τ,μ,θ)、G
ξ(i,j,k,τ,μ,θ)、B
ξ(i,j,k,τ,μ,θ)表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的RGB色;
Then enter step G, wherein R α , G α , B α represent the RGB color corresponding to the primary color fiber α, R β , G β , B β represent the RGB color corresponding to the primary color fiber β, R γ , G γ , B γ represents the RGB color corresponding to the primary color fiber γ, R δ , G δ , B δ represent the RGB color corresponding to the primary color fiber δ, R ε , G ε , B ε represent the RGB color corresponding to the primary color fiber ε; R θ , G θ , B θ represent the RGB color corresponding to the primary color fiber θ; Corresponding to the color value of the mixed yarn of six primary color fibers α, β, γ, δ, ε, θ, R ξ (i,j,k,τ,μ,θ), G ξ (i,j,k,τ,μ , θ), B ξ (i, j, k, τ, μ, θ) represent the six primary color fibers α, β, γ corresponding to the coordinates (i, j, k, τ, μ, θ) in the six-dimensional coordinate system , δ, ε, θ mixed yarn RGB color;
步骤G.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值矩阵如下:Step G. Constructing the color value matrix of any point in the cube space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
且i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;ω=1,2,3,...,s+1;
and i=1,2,3,...,m+1; j=1,2,3,...,n+1; k=1,2,3,...,p+1; τ =1,2,3,...,q+1;ω=1,2,3,...,s+1;
作为本发明的一种优选技术方案:基于所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t,则步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型如下:
As a preferred technical solution of the present invention: the maximum mass and equal fraction of the six primary color fibers α, β, γ, δ, ε, and θ are equal to each other, that is, ω α =ω β =ω γ =ω δ = ω ε =ω θ , m=n=p=q=s=t, then the color mixing space of the six-dimensional color mixing grid obtained in steps A to G is based on the six primary color fibers α, β, γ, δ, ε, θ corresponding to The color value model for any point in the cube space with the preset maximum quality is as follows:
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t,按i=1、2、3、...、n+1,j=1、2、3、...、n+1,k=1、2、3、...、n+1,τ=1、2、3、...、n+1,μ=1、2、3、...、n+1,
构建零维矩阵如下:
As a preferred technical solution of the present invention: based on the cube space with the maximum quality preset based on the six primary color fibers α, β, γ, δ, ε, and θ corresponding to the color mixing space of the six-dimensional color mixing grid obtained from steps A to G The color value model of any point, and the maximum mass and equal fraction of the six primary color fibers α, β, γ, δ, ε, θ are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε = ω θ , m=n=p=q=s=t, according to i=1, 2, 3,..., n+1, j=1, 2, 3,..., n+1, k= 1, 2, 3, ..., n+1, τ=1, 2, 3, ..., n+1, μ=1, 2, 3, ..., n+1, The zero-dimensional matrix is constructed as follows:
M
1,1=[ξ
i,j,k,τ,μ,θ]。
M 1,1 =[ξ i,j,k,τ,μ,θ ].
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t,基色纤维α对应六维坐标系中的X轴、基色纤维β对应六维坐标系中的Y轴、基色纤维γ对应六维坐标系 中的Z轴,基色纤维δ对应六维坐标系中的U轴,基色纤维ε对应六维坐标系中的V轴,基色纤维θ对应六维坐标系中的W轴;
As a preferred technical solution of the present invention: based on the cube space with the maximum quality preset based on the six primary color fibers α, β, γ, δ, ε, and θ corresponding to the color mixing space of the six-dimensional color mixing grid obtained from steps A to G The color value model of any point, and the maximum mass and equal fraction of the six primary color fibers α, β, γ, δ, ε, θ are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε = ω θ , m=n=p=q=s=t, the primary color fiber α corresponds to the X axis in the six-dimensional coordinate system, the primary color fiber β corresponds to the Y axis in the six-dimensional coordinate system, and the primary color fiber γ corresponds to the six-dimensional coordinate system. The Z axis of the primary color fiber δ corresponds to the U axis in the six-dimensional coordinate system, the primary color fiber ε corresponds to the V axis in the six-dimensional coordinate system, and the primary color fiber θ corresponds to the W axis in the six-dimensional coordinate system;
其中,基于i、j、k、τ、μ为常数,构建与W轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Among them, based on i, j, k, τ, μ as constants, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the W axis as follows:
基于i、j、k、τ、
为常数,构建与V轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Based on i, j, k, τ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the V axis as follows:
基于i、j、k、μ、
为常数,构建与U轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Based on i, j, k, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the U axis as follows:
基于i、j、τ、μ、
为常数,构建与Z轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Based on i, j, τ, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the Z axis as follows:
基于i、k、τ、μ、
为常数,构建与Y轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Based on i, k, τ, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the Y axis as follows:
基于j、k、τ、μ、
为常数,构建与X轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Based on j, k, τ, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the X-axis as follows:
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t;
As a preferred technical solution of the present invention: based on the cube space with the maximum quality preset based on the six primary color fibers α, β, γ, δ, ε, and θ corresponding to the color mixing space of the six-dimensional color mixing grid obtained from steps A to G The color value model of any point, and the maximum mass and equal fraction of the six primary color fibers α, β, γ, δ, ε, θ are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε = ω θ , m=n=p=q=s=t;
其中,基于i、j、k、τ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Among them, based on i, j, k, τ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、j、k、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, j, k, and μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、j、k、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, j, k, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、j、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, j, τ, and μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、j、τ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, j, τ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、j、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, j, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、k、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, k, τ, μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、k、τ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, k, τ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、k、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, k, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、τ、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, τ, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于j、k、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on j, k, τ, μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于j、k、τ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on j, k, τ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于j、k、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on j, k, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于j、τ、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on j, τ, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于k、τ、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on k, τ, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t;
As a preferred technical solution of the present invention: based on the cube space with the maximum quality preset based on the six primary color fibers α, β, γ, δ, ε, and θ corresponding to the color mixing space of the six-dimensional color mixing grid obtained from steps A to G The color value model of any point, and the maximum mass and equal fraction of the six primary color fibers α, β, γ, δ, ε, θ are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε = ω θ , m=n=p=q=s=t;
其中,基于i、j、k为常数,以及τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Among them, based on i, j, k are constants, and τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、j、τ为常数,以及k、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, j, τ being constant, and k, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、j、μ为常数,以及k、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, j, μ being constant, and k, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、j、
为常数,以及k、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, j, is a constant, and k, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、k、τ为常数,以及j、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, k, τ being constant, and j, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、k、μ为常数,以及j、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, k, μ being constant, and j, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、k、
为常数,以及j、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, k, is a constant, and j, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ξ i,j,k,τ,μ,θ ;
基于i、τ、μ为常数,以及j、k、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, τ, μ being constant, and j, k, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、τ、
为常数,以及j、k、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, τ, is a constant, and j, k, μ are equal to 1, ..., n+1 respectively, construct (n+1) 3 -dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、μ、
为常数,以及j、k、τ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, μ, is a constant, and j, k, τ are equal to 1, ..., n+1, respectively, construct (n+1) 3 -dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、k、τ为常数,以及i、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, k, τ being constant, and i, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、k、μ为常数,以及i、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, k, μ being constant, and i, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、k、
为常数,以及i、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, k, is a constant, and i , τ, μ are respectively equal to 1 , .
基于j、τ、μ为常数,以及i、k、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, τ, μ being constant, and i, k, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、τ、
为常数,以及i、k、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, τ, is a constant, and i, k, μ are respectively equal to 1,...,n+1, construct (n+1) 3 three-dimensional color arrays for ξ i,j,k,τ,μ,θ ;
基于j、μ、
为常数,以及i、k、τ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, μ, is a constant, and i, k, τ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、τ、μ为常数,以及i、j、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on k, τ, μ are constants, and i, j, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、τ、
为常数,以及i、j、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on k, τ, is a constant, and i, j, μ are respectively equal to 1,..., n+1, construct (n+1) 3 -dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、μ、
为常数,以及i、j、τ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on k, μ, is a constant, and i, j, τ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于τ、μ、
为常数,以及i、j、k分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列。
Based on τ, μ, are constants, and i, j , k are equal to 1 , .
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t;
As a preferred technical solution of the present invention: based on the cube space with the maximum quality preset based on the six primary color fibers α, β, γ, δ, ε, and θ corresponding to the color mixing space of the six-dimensional color mixing grid obtained from steps A to G The color value model of any point, and the maximum mass and equal fraction of the six primary color fibers α, β, γ, δ, ε, θ are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε = ω θ , m=n=p=q=s=t;
其中,基于i、j为常数,以及k、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Among them, based on i, j being constant, and k, τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、k为常数,以及j、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on i, k being constant, and j, τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、τ为常数,以及j、k、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on i, τ being constant, and j, k, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、μ为常数,以及j、k、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on i, μ being constant, and j, k, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、
为常数,以及j、k、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on i, is a constant, and j, k, τ, μ are equal to 1, ..., n+1, respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、k为常数,以及i、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on j, k as constants, and i, τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、τ为常数,以及i、k、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on j, τ are constants, and i, k, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、μ为常数,以及i、k、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on j, μ being constant, and i, k, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、
为常数,以及i、k、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on j, is a constant, and i, k, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、τ为常数,以及i、j、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on k, τ are constants, and i, j, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、μ为常数,以及i、j、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on k, μ being constant, and i, j, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、
为常数,以及i、j、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on k, is a constant, and i, j, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于τ、μ为常数,以及i、j、k、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on τ, μ being constant, and i, j, k, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于τ、
为常数,以及i、j、k、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on τ, is a constant, and i, j, k, μ are equal to 1, ..., n+1, respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于μ、
为常数,以及i、j、k、τ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列。
Based on μ, are constants, and i, j, k, τ are equal to 1 , .
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t;
As a preferred technical solution of the present invention: based on the cube space with the maximum quality preset based on the six primary color fibers α, β, γ, δ, ε, and θ corresponding to the color mixing space of the six-dimensional color mixing grid obtained from steps A to G The color value model of any point, and the maximum mass and equal fraction of the six primary color fibers α, β, γ, δ, ε, θ are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε = ω θ , m=n=p=q=s=t;
其中,基于i为常数,以及j、k、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列;
where i is a constant based on i, and j, k, τ, μ, Equal to 1, ..., n+1, respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j为常数,以及i、k、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列;
Based on j being a constant, and i, k, τ, μ, Equal to 1, ..., n+1, respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k为常数,以及i、j、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列;
Based on k being a constant, and i, j, τ, μ, Equal to 1, ..., n+1, respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于τ为常数,以及i、j、k、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列;
Based on τ being a constant, and i, j, k, μ, Equal to 1, ..., n+1, respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于μ为常数,以及i、j、k、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列;
Based on μ being a constant, and i, j, k, τ, Equal to 1, ..., n+1, respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于
为常数,以及i、j、k、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列。
based on are constants, and i, j, k, τ , μ are equal to 1, .
作为本发明的一种优选技术方案:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t;基于i、j、k、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建1个六维颜色阵列。
As a preferred technical solution of the present invention: based on the cube space with the maximum quality preset based on the six primary color fibers α, β, γ, δ, ε, and θ corresponding to the color mixing space of the six-dimensional color mixing grid obtained from steps A to G The color value model of any point, and the maximum mass and equal fraction of the six primary color fibers α, β, γ, δ, ε, θ are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε = ω θ , m=n=p=q=s=t; based on i, j, k, τ, μ, Equal to 1, ..., n+1, respectively, construct a six-dimensional color array for ξ i, j, k, τ, μ, θ .
与上述相对应,本发明设计了一种针对彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法的应用,将所述六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值,存储于数据库中,按如下方式,用于实现对目标颜色的分析;Corresponding to the above, the present invention designs an application of a six-dimensional color mixing space grid model for color fibers and a method for constructing a color matrix of a grid point array. α, β, γ, δ, ε, θ preset the color value of any point in the cube space with the maximum quality, stored in the database, and used to analyze the target color in the following way;
首选采用检色仪检测获得目标颜色所对应的RGB颜色检测数据,并在数据库中查找该RGB颜色检测数据所对应的网格点;然后在以该网格点为原点、周围预设半径范围,通过比对的方式,获得目标颜色所对应的网格点;最后由该网格点所对应的RGB颜色数据,构成目标颜色所对应的RGB颜色数据。It is preferred to use a color detector to detect the RGB color detection data corresponding to the target color, and find the grid point corresponding to the RGB color detection data in the database; then take the grid point as the origin and the surrounding preset radius, The grid point corresponding to the target color is obtained by means of comparison; finally, the RGB color data corresponding to the target color is formed from the RGB color data corresponding to the grid point.
本发明所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用,采用以上技术方案与现有技术相比,具有以下技术效果:A color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method and application according to the present invention, compared with the prior art by using the above technical solution, have the following technical effects:
本发明所设计彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法及应用,针对指定六基色纤维,引入坐标数字量化过程,将六基色纤维分别对应于六维坐标系的各坐标轴,以基色纤维参与混合的质量作为坐标轴数据,由六维坐标系空间的各个网格点获得六基色纤维的混合纱线对象,由此结合各基色纤维的混合比,以及各基色纤维的RGB颜色,实现对混合纱线对象的RGB颜色建模,即构成六维混色网格混色空间网格点阵列模型,并由此进一步实现线阵列模型、面阵列模型、体阵列模型的构建,针对六基色纤维混合下的RGB混色空间实现了数字量化,能够在实际应用中任意调用各组模型实现颜色的可视化,有效提高了颜色分析、选择的效率。The six-dimensional color mixing space grid model of the color fiber designed by the present invention and the construction method and application of the color matrix of the grid point array, for the designated six-color fiber, the coordinate digital quantization process is introduced, and the six-primary color fibers are respectively corresponding to the six-dimensional coordinate system. For each coordinate axis, the quality of the primary color fibers involved in the mixing is used as the coordinate axis data, and the mixed yarn object of the six primary color fibers is obtained from each grid point in the six-dimensional coordinate system space, and the mixing ratio of each primary color fiber is combined. The RGB color of the fiber realizes the RGB color modeling of the mixed yarn object, that is, a six-dimensional color mixing grid color mixing space grid point array model, and thus further realizes the construction of line array model, area array model, and volume array model. , digital quantization is realized for the RGB color mixing space under the mixing of six primary color fibers, and each group of models can be called arbitrarily in practical applications to realize color visualization, which effectively improves the efficiency of color analysis and selection.
图1是本发明所设计彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法流程示意图。FIG. 1 is a schematic flowchart of a six-dimensional color mixing space grid model of color fibers designed by the present invention and a method for constructing a grid point array color matrix.
下面结合说明书附图对本发明的具体实施方式作进一步详细的说明。The specific embodiments of the present invention will be described in further detail below with reference to the accompanying drawings.
本发明设计了一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,针对指定六基色纤维α、β、γ、δ、ε、θ,以各基色纤维质量分别对应六维坐标系中的各根坐标轴,实现六维混色网格混色空间网格点阵列模型的构建,包括如下步骤A至步骤G。The invention designs a color fiber six-dimensional color mixing space grid model and a grid point array color matrix construction method. For the specified six primary color fibers α, β, γ, δ, ε, θ, the quality of each primary color fiber corresponds to Each coordinate axis in the six-dimensional coordinate system realizes the construction of a six-dimensional color mixing grid color mixing space grid point array model, including the following steps A to G.
步骤A.根据六基色纤维α、β、γ、δ、ε、θ分别所对应的预设最大质量ω
α、ω
β、ω
γ、ω
δ、ω
ε、ω
θ,确定各基色纤维最大质量分别所对应其所设坐标轴的位置,然后进入步骤B。
Step A. Determine the maximum mass of each primary color fiber according to the preset maximum mass ω α , ω β , ω γ , ω δ , ω ε , ω θ corresponding to the six primary color fibers α, β, γ, δ, ε, θ respectively Respectively corresponding to the position of its set coordinate axis, and then go to step B.
步骤B.针对六维坐标系中原点与基色纤维α最大质量所对应其所设坐标轴位置之间的线段,执行m等分,即获得包含该线段两端顶点在内的m+1个点,且该线段上各点的质量
i=1、…、m+1,i表示该线段上由六维坐标系中原点至基色纤维α最大质量所对应其所设坐标轴位置方向、各点的序号。
Step B. For the line segment between the origin and the position of the coordinate axis corresponding to the maximum mass of the primary color fiber α in the six-dimensional coordinate system, perform m equal division, that is, obtain m+1 points including the vertices at both ends of the line segment. , and the mass of each point on the line segment i=1, .
针对六维坐标系中原点与基色纤维β最大质量所对应其所设坐标轴位置之间的线段,执行n等分,即获得包含该线段两端顶点在内的n+1个点,且该线段上各点的质量
j=1、…、n+1,j表示该线段上由六维坐标系中原点至基色纤维β最大质量所对应其所设坐标轴位置方向、各点的序号。
For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber β in the six-dimensional coordinate system, perform n equal divisions, that is, to obtain n+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment j=1, .
针对六维坐标系中原点与基色纤维γ最大质量所对应其所设坐标轴位置之间的线段,执行p等分,即获得包含该线段两端顶点在内的p+1个点,且该线段上各点的质量
k=1、…、p+1,k表示该线段上由六维坐标系中原点至基色纤维γ最大质量所对应其所设坐标轴位置方向、各点的序号。
For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber γ in the six-dimensional coordinate system, perform p equal division, that is, to obtain p+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment k=1, .
针对六维坐标系中原点与基色纤维δ最大质量所对应其所设坐标轴位置之间的线段,执行q等分,即获得包含该线段两端顶点在内的q+1个点,且该线段上各点的质量
τ=1、…、q+1,τ表示该线段上由六维坐标系中原点至基色纤维δ最大质量所对应其所设坐标轴位置方向、各点的序号。
For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber δ in the six-dimensional coordinate system, perform q equal division, that is, obtain q+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment τ=1, .
针对六维坐标系中原点与基色纤维ε最大质量所对应其所设坐标轴位置之间的线段,执行s等分,即获得包含该线段两端顶点在内的s+1个点,且该线段上各点的质量
μ=1、…、s+1,μ表示该线段上由六维坐标系中原点至基色纤维ε最大质量所对应其所设坐标轴位置方向、各点的序号。
For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber ε in the six-dimensional coordinate system, perform s equal division, that is, obtain s+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment μ=1, .
针对六维坐标系中原点与基色纤维θ最大质量所对应其所设坐标轴位置之间的线段,执行t等分,即获得包含该线段两端顶点在内的t+1个点,且该线段上各点的质量
表示该线段上由六维坐标系中原点至基色纤维θ最大质量所对应其所设坐标轴位置方向、各点的序号;然后进入步骤C。
For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber θ in the six-dimensional coordinate system, perform t equal division, that is, obtain t+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment Indicates the line segment from the origin in the six-dimensional coordinate system to the position direction of the coordinate axis corresponding to the maximum mass of the primary color fiber θ, and the serial number of each point; then go to step C.
步骤C.构建六基色纤维α、β、γ、δ、ε、θ分别所对应混合比λ
α(i,j,k,τ,μ)、λ
β(i,j,k,τ,μ)、λ
γ(i,j,k,τ,μ)、λ
δ(i,j,k,τ,μ)、λ
ε(i,j,k,τ,μ)、λ
θ(i,j,k,τ,μ)如下,然后进入步骤D;
Step C. Construct the mixing ratios λ α (i, j, k, τ, μ) and λ β (i, j, k, τ, μ) corresponding to the six primary color fibers α, β, γ, δ, ε, and θ respectively , λ γ (i, j, k, τ, μ), λ δ (i, j, k, τ, μ), λ ε (i, j, k, τ, μ), λ θ (i, j, k, τ, μ) are as follows, and then enter step D;
步骤D.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量模型如下,然后进入步骤E;Step D. Construct the quality model of any point in the cube space corresponding to the six-dimensional color mixing grid color mixing space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ as follows, and then proceed to step E;
步骤E.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量矩阵如下,然后进入步骤F;Step E. Constructing the six-dimensional color mixing grid color mixing space corresponding to the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ The quality matrix of any point in the cube space is as follows, and then enter step F;
且i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
and i=1,2,3,...,m+1; j=1,2,3,...,n+1; k=1,2,3,...,p+1; τ =1,2,3,...,q+1; μ=1,2,3,...,s+1;
步骤F.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型如下:Step F. Constructing the color value model of any point in the cube space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
然后进入步骤G,其中,R
α、G
α、B
α表示基色纤维α所对应的RGB色,R
β、G
β、B
β表示基色纤维β所对应的RGB色,R
γ、G
γ、B
γ表示基色纤维γ所对应的RGB色,R
δ、G
δ、B
δ表示基色纤维δ所对应的RGB色,R
ε、G
ε、B
ε表示基色纤维ε所对应的RGB色;R
θ、G
θ、B
θ表示基色纤维θ所对应的RGB色,;ξ
i,j,k,τ,μ,θ表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的颜色值,R
ξ(i,j,k,τ,μ,θ)、G
ξ(i,j,k,τ,μ,θ)、B
ξ(i,j,k,τ,μ,θ)表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的RGB色。
Then enter step G, wherein R α , G α , B α represent the RGB colors corresponding to the primary color fiber α, R β , G β , B β represent the RGB colors corresponding to the primary color fiber β, R γ , G γ , B γ represents the RGB color corresponding to the primary color fiber γ, R δ , G δ , B δ represent the RGB color corresponding to the primary color fiber δ, R ε , G ε , B ε represent the RGB color corresponding to the primary color fiber ε; R θ , G θ , B θ represent the RGB color corresponding to the primary color fiber θ; Corresponding to the color value of the mixed yarn of six primary color fibers α, β, γ, δ, ε, θ, R ξ (i,j,k,τ,μ,θ), G ξ (i,j,k,τ,μ , θ), B ξ (i, j, k, τ, μ, θ) represent the six primary color fibers α, β, γ corresponding to the coordinates (i, j, k, τ, μ, θ) in the six-dimensional coordinate system , δ, ε, θ mixed yarn RGB color.
步骤G.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值矩阵如下:Step G. Constructing the color value matrix of any point in the cube space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
且i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;ω=1,2,3,...,s+1;
and i=1,2,3,...,m+1; j=1,2,3,...,n+1; k=1,2,3,...,p+1; τ =1,2,3,...,q+1;ω=1,2,3,...,s+1;
由此得到以α(R
α,G
α,B
α)、β(R
β,G
β,B
β)、γ(R
γ,G
γ,B
γ)、δ(R
δ,G
δ,B
δ)、ε(R
ε,G
ε,B
ε)、θ(R
θ,G
θ,B
θ)为基色的六维网格混色空间,该空间的色域范围可通过(m+1)*(n+1)*(p+1)*(q+1)*(s+1)*(t+1)个网格点的颜色值ξ
i,j,k,τ,μ,θ进行表达,由此得到彩色纤维六维混色的网格化色域空间。在笛卡尔坐标系下可按照以下7种模式进行展开:
Thus, α(R α , G α , B α ), β(R β , G β , B β ), γ(R γ , G γ , B γ ), δ(R δ , G δ , B δ ) are obtained ), ε(R ε , G ε , B ε ), θ(R θ , G θ , B θ ) are the six-dimensional grid color mixing space of primary colors, the color gamut range of this space can be passed through (m+1)*( n+1)*(p+1)*(q+1)*(s+1)*(t+1) color values of grid points ξ i,j,k,τ,μ,θ are expressed, Thus, the gridded color gamut space of six-dimensional color mixing of colored fibers is obtained. In the Cartesian coordinate system, it can be expanded according to the following 7 modes:
1、当i=1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
时,则[ξ
1,j,k,τ,μ,θ]代表与X轴垂直的无数个面上(n+1)*(p+1)*(q+1)*(s+1)*(t+1)个网格点的颜色值;
1. When i=1; j=1,2,3,...,n+1; k=1,2,3,...,p+1; τ=1,2,3,... ,q+1; μ=1,2,3,...,s+1; , then [ξ 1,j,k,τ,μ,θ ] represents an infinite number of planes perpendicular to the X axis (n+1)*(p+1)*(q+1)*(s+1) *(t+1) color values of grid points;
2、当i=1,2,3,...,m+1;j=1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
时,则[ξ
i,1,k,τ,μ,θ]代表Y轴垂直的面上(m+1)*(p+1)*(q+1)*(s+1)*(t+1)个网格点的颜色值;
2. When i=1,2,3,...,m+1; j=1; k=1,2,3,...,p+1; τ=1,2,3,... ,q+1; μ=1,2,3,...,s+1; , then [ξ i, 1, k, τ, μ, θ ] represents (m+1)*(p+1)*(q+1)*(s+1)*(t on the vertical plane of the Y-axis +1) color value of grid points;
3、当i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
时,则[ξ
i,j,1,τ,μ,θ]代表Z轴垂直的面上(m+1)*(n+1)*(q+1)*(s+1)*(t+1)个网格点的颜色值;
3. When i=1,2,3,...,m+1; j=1,2,3,...,n+1; k=1; τ=1,2,3,... ,q+1; μ=1,2,3,...,s+1; , then [ξ i,j,1,τ,μ,θ ] represents (m+1)*(n+1)*(q+1)*(s+1)*(t on the vertical plane of Z-axis +1) color value of grid points;
4、当i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1;μ=1,2,3,...,s+1;
时,则[ξ
i,j,k,1,μ,θ]代表U轴垂直的面上(m+1)*(n+1)*(p+1)*(s+1)*(t+1)个网格点的颜色值;
4. When i=1,2,3,...,m+1; j=1,2,3,...,n+1; k=1,2,3,...,p+1 ;τ=1;μ=1,2,3,...,s+1; , then [ξ i,j,k,1,μ,θ ] represents the vertical plane of the U axis (m+1)*(n+1)*(p+1)*(s+1)*(t +1) color value of grid points;
5、当i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1;
时,则[ξ
i,j,k,τ,1,θ]代表V轴垂直的面上(m+1)*(n+1)*(p+1)*(q+1)*(t+1)个网格点的颜色值;
5. When i=1,2,3,...,m+1; j=1,2,3,...,n+1; k=1,2,3,...,p+1 ;τ=1,2,3,...,q+1;μ=1; , then [ξ i,j,k,τ,1,θ ] represents the vertical plane of the V axis (m+1)*(n+1)*(p+1)*(q+1)*(t +1) color value of grid points;
6、当i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
时,则[ξ
i,j,k,τ,μ,1]代表V轴垂直的面上(m+1)*(n+1)*(p+1)*(q+1)个网格点的颜色值;
6. When i=1,2,3,...,m+1; j=1,2,3,...,n+1; k=1,2,3,...,p+1 ;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1; , then [ξ i,j,k,τ,μ,1 ] represents (m+1)*(n+1)*(p+1)*(q+1) grids on the vertical surface of the V-axis the color value of the point;
7、当i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1;
时,可得到[ξ
i,j,k,τ,μ,θ]的(m+1)*(n+1)*(p+1)*(q+1)*(s+1)*(t+1)个网格点的颜色值。
7. When i=1,2,3,...,m+1; j=1,2,3,...,n+1; k=1,2,3,...,p+1 ;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1; , one can obtain (m+1)*(n+1)*(p+1)*(q+1)*(s+1)*( of [ξ i,j,k,τ,μ,θ ] Color values of t+1) grid points.
实际应用当中,基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω
α=ω
β=ω
γ=ω
δ=ω
ε=ω
θ,m=n=p=q=s=t,则步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型如下:
In practical applications, the color value model of any point in the cube space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, and θ corresponding to the color mixing space of the six-dimensional color mixing grid obtained in steps A to G , and the maximum mass and equal fraction of the six primary color fibers α, β, γ, δ, ε, θ are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε =ω θ , m=n =p=q=s=t, then the color mixing space of the six-dimensional color mixing grid obtained in steps A to G corresponds to any cubic space with the maximum quality preset based on the six primary color fibers α, β, γ, δ, ε, θ. The color value model for a point is as follows:
进一步按i=1、2、3、...、n+1,j=1、2、3、...、n+1,k=1、2、3、...、n+1,τ=1、2、3、...、n+1,μ=1、2、3、...、n+1,
构建零维矩阵如下:
Further press i=1, 2, 3,..., n+1, j=1, 2, 3,..., n+1, k=1, 2, 3,..., n+1, τ=1, 2, 3,..., n+1, μ=1, 2, 3,..., n+1, The zero-dimensional matrix is constructed as follows:
M
1,1=[ξ
i,j,k,τ,μ,θ]。
M 1,1 =[ξ i,j,k,τ,μ,θ ].
并且基于基色纤维α对应六维坐标系中的X轴、基色纤维β对应六维坐标系中的Y轴、基色纤维γ对应六维坐标系中的Z轴,基色纤维δ对应六维坐标系中的U轴,基色纤维ε对应六维坐标系中的V轴,基色纤维θ对应六维坐标系中的W轴。And based on the base color fiber α corresponds to the X axis in the six-dimensional coordinate system, the base color fiber β corresponds to the Y axis in the six-dimensional coordinate system, the base color fiber γ corresponds to the Z axis in the six-dimensional coordinate system, and the base color fiber δ corresponds to the six-dimensional coordinate system. The U axis of the primary color fiber ε corresponds to the V axis in the six-dimensional coordinate system, and the primary color fiber θ corresponds to the W axis in the six-dimensional coordinate system.
其中,基于i、j、k、τ、μ为常数,构建与W轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Among them, based on i, j, k, τ, μ as constants, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the W axis as follows:
其中:in:
基于i、j、k、τ、
为常数,构建与V轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Based on i, j, k, τ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the V axis as follows:
基于i、j、k、μ、
为常数,构建与U轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Based on i, j, k, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the U axis as follows:
基于i、j、τ、μ、
为常数,构建与Z轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Based on i, j, τ, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the Z axis as follows:
基于i、k、τ、μ、
为常数,构建与Y轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Based on i, k, τ, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the Y axis as follows:
基于j、k、τ、μ、
为常数,构建与X轴平行的(n+1)
5个1行(n+1)列一维颜色线阵列如下:
Based on j, k, τ, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the X-axis as follows:
实际应用当中,对于一维阵列进行展开,主要如下:In practical applications, the expansion of one-dimensional arrays is mainly as follows:
①当i=1、j=1、k=1、τ=1、μ=1时,所组成的1行(n+1)列一维公式进行展开,展开后的矩阵如下:①When i=1, j=1, k=1, τ=1, μ=1, the 1-row (n+1)-column one-dimensional formula is expanded, and the expanded matrix is as follows:
……
②当i=i、j=j、k=k、τ=τ、μ=μ时,所组成的1行(n+1)列一维公式进行展开,展开后的矩阵如下:②When i=i, j=j, k=k, τ=τ, μ=μ, the 1-row (n+1)-column one-dimensional formula is expanded, and the expanded matrix is as follows:
其中:in:
……
③当i=n+1、j=n+1、k=n+1、τ=n+1、
时,所组成的1行(n+1)列一维公式进行展开,展开后的矩阵如下:
③When i=n+1, j=n+1, k=n+1, τ=n+1, When , the one-dimensional formula composed of 1 row (n+1) column is expanded, and the expanded matrix is as follows:
其中:in:
其余十四种情况可根据上述方法和思路,进行推导得出。The remaining fourteen cases can be derived according to the above methods and ideas.
相应基于i、j、k、τ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Correspondingly, based on i, j, k, and τ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
其中:in:
基于i、j、k、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, j, k, and μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、j、k、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, j, k, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、j、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, j, τ, and μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、j、τ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, j, τ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、j、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, j, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、k、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, k, τ, μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、k、τ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, k, τ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、k、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, k, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于i、τ、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on i, τ, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于j、k、τ、μ为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on j, k, τ, μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于j、k、τ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on j, k, τ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于j、k、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on j, k, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于j、τ、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on j, τ, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
基于k、τ、μ、
为常数,构建(n+1)
4个(n+1)行(n+1)列二维颜色阵列如下:
Based on k, τ, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
实际应用当中,对于二维阵列进行展开,主要如下:In practical applications, the expansion of two-dimensional arrays is mainly as follows:
①当i=1、j=1、k=1、τ=1时,所组成的(n+1)行(n+1)列二维阵列进行展开,展开后的矩阵如下:①When i=1, j=1, k=1, τ=1, the two-dimensional array formed by (n+1) rows (n+1) columns is expanded, and the expanded matrix is as follows:
其中:in:
……
②当i=i、j=j、k=k、τ=τ时,所组成的(n+1)行(n+1)列二维阵列公式进行展开,展开后的矩阵如下:②When i=i, j=j, k=k, τ=τ, the two-dimensional array formula composed of (n+1) rows (n+1) columns is expanded, and the expanded matrix is as follows:
其中:in:
……
③当i=n+1、j=n+1、k=n+1、τ=n+1时,所组成的(n+1)行(n+1)列二维阵列公式进行展开,展开后的矩阵如下:③ When i=n+1, j=n+1, k=n+1, τ=n+1, the (n+1) row (n+1) column two-dimensional array formula formed is expanded and expanded. The resulting matrix is as follows:
其中:in:
其余十四种情况可根据上述方法和思路,进行推导得出。The remaining fourteen cases can be derived according to the above methods and ideas.
进一步基于i、j、k为常数,以及τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列,其中:
Further based on i, j, k being constant, and τ, μ, Equal to 1,...,n+1 respectively, construct (n+1) 3 -dimensional color arrays for ξ i,j,k,τ,μ,θ , where
基于i、j、τ为常数,以及k、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, j, τ being constant, and k, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、j、μ为常数,以及k、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, j, μ being constant, and k, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、j、
为常数,以及k、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, j, is a constant, and k, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ξ i,j,k,τ,μ,θ ;
基于i、k、τ为常数,以及j、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, k, τ being constant, and j, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、k、μ为常数,以及j、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, k, μ being constant, and j, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、k、
为常数,以及j、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, k, is a constant, and j, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ξ i,j,k,τ,μ,θ ;
基于i、τ、μ为常数,以及j、k、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, τ, μ being constant, and j, k, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、τ、
为常数,以及j、k、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, τ, is a constant, and j, k, μ are equal to 1, ..., n+1 respectively, construct (n+1) 3 -dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、μ、
为常数,以及j、k、τ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on i, μ, is a constant, and j, k, τ are equal to 1, ..., n+1, respectively, construct (n+1) 3 -dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、k、τ为常数,以及i、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, k, τ being constant, and i, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、k、μ为常数,以及i、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, k, μ being constant, and i, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、k、
为常数,以及i、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, k, is a constant, and i , τ, μ are respectively equal to 1 , .
基于j、τ、μ为常数,以及i、k、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, τ, μ being constant, and i, k, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、τ、
为常数,以及i、k、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, τ, is a constant, and i, k, μ are respectively equal to 1,...,n+1, construct (n+1) 3 three-dimensional color arrays for ξ i,j,k,τ,μ,θ ;
基于j、μ、
为常数,以及i、k、τ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on j, μ, is a constant, and i, k, τ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、τ、μ为常数,以及i、j、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on k, τ, μ are constants, and i, j, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、τ、
为常数,以及i、j、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on k, τ, is a constant, and i, j, μ are respectively equal to 1,..., n+1, construct (n+1) 3 -dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、μ、
为常数,以及i、j、τ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列;
Based on k, μ, is a constant, and i, j, τ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于τ、μ、
为常数,以及i、j、k分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
3个三维颜色阵列。
Based on τ, μ, is a constant, and i, j , k are equal to 1 , .
实际应用当中,对于三维阵列进行展开,主要如下:In practical applications, the expansion of three-dimensional arrays is mainly as follows:
①当i=1、j=1、k=1时,所组成的三维阵列进行展开,展开后的矩阵如下:①When i=1, j=1, k=1, the three-dimensional array formed is expanded, and the expanded matrix is as follows:
其中:in:
……
②当i=i、j=j、k=k时,所组成的三维阵列进行展开,展开后的矩阵如下:②When i=i, j=j, k=k, the three-dimensional array formed is expanded, and the expanded matrix is as follows:
其中:in:
③当i=n+1、j=n+1、k=n+1时,所组成的三维阵列进行展开,展开后的矩阵如下:③When i=n+1, j=n+1, k=n+1, the three-dimensional array formed is expanded, and the expanded matrix is as follows:
其中:in:
其余十九种情况可根据上述方法和思路,进行推导得出。The remaining nineteen cases can be derived according to the above methods and ideas.
还有基于i、j为常数,以及k、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列其中:
There are also constants based on i and j, and k, τ, μ, Equal to 1,...,n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i,j,k,τ,μ,θ where:
且i=i;j=j;k=1,2,3,...,n+1;τ=1,2,3,...,n+1;μ=1,2,3,...,n+1;
and i=i; j=j; k=1,2,3,...,n+1; τ=1,2,3,...,n+1; μ=1,2,3,. ..,n+1;
基于i、k为常数,以及j、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on i, k being constant, and j, τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、τ为常数,以及j、k、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on i, τ being constant, and j, k, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、μ为常数,以及j、k、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on i, μ being constant, and j, k, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于i、
为常数,以及j、k、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on i, is a constant, and j, k, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、k为常数,以及i、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on j, k being constant, and i, τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、τ为常数,以及i、k、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on j, τ are constants, and i, k, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、μ为常数,以及i、k、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on j, μ being constant, and i, k, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于j、
为常数,以及i、k、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on j, is a constant, and i, k, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、τ为常数,以及i、j、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on k, τ are constants, and i, j, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、μ为常数,以及i、j、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on k, μ being constant, and i, j, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k、
为常数,以及i、j、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on k, is a constant, and i, j, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于τ、μ为常数,以及i、j、k、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on τ, μ being constant, and i, j, k, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于τ、
为常数,以及i、j、k、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列;
Based on τ, is a constant, and i, j, k, μ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于μ、
为常数,以及i、j、k、τ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)
2个四维颜色阵列。
Based on μ, are constants, and i, j, k, τ are equal to 1 , .
实际应用当中,对于四维阵列进行展开,主要如下:In practical applications, the expansion of four-dimensional arrays is mainly as follows:
①当i=1、j=1时,所组成的四维阵列,如下:①When i=1, j=1, the four-dimensional array formed is as follows:
其中:in:
……
②当i=i、j=j时,所组成的四维阵列,如下:②When i=i, j=j, the four-dimensional array formed is as follows:
其中:in:
……
③当i=n+1、j=n+1时,所组成的四维阵列进行展开,如下:③ When i=n+1, j=n+1, the formed four-dimensional array is expanded, as follows:
其中:in:
其余九种情况可根据上述方法和思路,进行推导得出。The remaining nine cases can be derived according to the above methods and ideas.
此外,基于i为常数,以及j、k、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列如下:
In addition, based on i being a constant, and j, k, τ, μ, Equal to 1,...,n+1 respectively, construct (n+1) five-dimensional color arrays for ξ i,j,k,τ,μ,θ as follows:
其中:in:
且i=i;j=1,2,3,...,n+1;k=1,2,3,...,n+1;τ=1,2,3,...,n+1;μ=1,2,3,...,n+1;
and i=i; j=1,2,3,...,n+1; k=1,2,3,...,n+1; τ=1,2,3,...,n +1; μ=1,2,3,...,n+1;
基于j为常数,以及i、k、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列;
Based on j being a constant, and i, k, τ, μ, Equal to 1, ..., n+1, respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于k为常数,以及i、j、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列;
Based on k being a constant, and i, j, τ, μ, Equal to 1, ..., n+1, respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于τ为常数,以及i、j、k、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列;
Based on τ being a constant, and i, j, k, μ, Equal to 1, ..., n+1, respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于μ为常数,以及i、j、k、τ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列;
Based on μ being a constant, and i, j, k, τ, Equal to 1, ..., n+1, respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
基于
为常数,以及i、j、k、τ、μ分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列。
based on are constants, and i, j, k, τ , μ are equal to 1, .
实际应用当中,对于五维阵列进行展开,主要如下:In practical applications, the expansion of five-dimensional arrays is mainly as follows:
①当i=1时,所组成的四维阵列,如下:①When i=1, the four-dimensional array formed is as follows:
其中:in:
……
②当i=i时,所组成的四维阵列,如下:②When i=i, the four-dimensional array formed is as follows:
其中:in:
……
③当i=n+1时,所组成的四维阵列进行展开,如下:③ When i=n+1, the formed four-dimensional array is expanded, as follows:
其中:in:
其余五种情况可根据上述方法和思路,进行推导得出。The remaining five cases can be derived according to the above methods and ideas.
以及基于i、j、k、τ、μ、
分别等于1、…、n+1,针对ξ
i,j,k,τ,μ,θ构建1个六维颜色阵列如下:
and based on i, j, k, τ, μ, Equal to 1, ..., n+1 respectively, construct a six-dimensional color array for ξ i, j, k, τ, μ, θ as follows:
与上述相对应,本发明设计了一种针对彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法的应用,将所述六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值,存储于数据库中,按如下方式,用于实现对目标颜色的分析;Corresponding to the above, the present invention designs an application of a six-dimensional color mixing space grid model for color fibers and a method for constructing a color matrix of a grid point array. α, β, γ, δ, ε, θ preset the color value of any point in the cube space with the maximum quality, stored in the database, and used to analyze the target color in the following way;
首选采用检色仪检测获得目标颜色所对应的RGB颜色检测数据,并在数据库中查找该RGB颜色检测数据所对应的网格点;然后在以该网格点为原点、周围预设半径范围,通过比对的方式,获得目标颜色所对应的网格点;最后由该网格点所对应的RGB颜色数据,构成目标颜色所对应的RGB颜色数据。It is preferred to use a color detector to detect the RGB color detection data corresponding to the target color, and find the grid point corresponding to the RGB color detection data in the database; then take the grid point as the origin and the surrounding preset radius, The grid point corresponding to the target color is obtained by means of comparison; finally, the RGB color data corresponding to the target color is formed from the RGB color data corresponding to the grid point.
基于上述所设计彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,在具体的实际应用当中,假设六元彩纤α、β、γ、δ、ε、θ的重量分别为ω
α=10、ω
β=10、ω
γ=10、ω
δ=10、ω
ε=10、ω
θ=10,颜色值为α(255,0,0)、β(0,255,0)、γ(0,0,255)、δ(0,255,255)、ε(255,0,255)、θ(255,255,0),分别将彩纤α的重量分成10等分,彩纤β的重量分成10等分,彩纤γ的重量分成4等分,彩纤δ的重量分成4等分,彩纤ε的重量分成4等分,彩纤θ的重量分成4等分,并按等差数列进行配重,得到混合体ω
ξ。将混合体ω
ξ沿 着点α、点β所在的面展开,可得625个11*11的面矩阵,在这里只例举前三个和最后三个,其他619个面矩阵可按照上述讨论出的面阵列矩阵计算得出,其对应的RGB值见颜色对照表。
Based on the above designed color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method, in specific practical applications, it is assumed that the weights of six-element color fibers α, β, γ, δ, ε, and θ are respectively is ω α =10, ω β =10, ω γ =10, ω δ =10, ω ε =10, ω θ =10, the color values are α(255,0,0), β(0,255,0), γ(0,0,255), δ(0,255,255), ε(255,0,255), θ(255,255,0), respectively divide the weight of color fiber α into 10 equal parts, the weight of color fiber β into 10 equal parts, the color fiber The weight of γ is divided into 4 equal parts, the weight of color fiber δ is divided into 4 equal parts, the weight of color fiber ε is divided into 4 equal parts, the weight of color fiber θ is divided into 4 equal parts, and the weight is carried out according to the arithmetic sequence to obtain a mixture ωξ . Expanding the mixture ω ξ along the surface where the point α and the point β are located, 625 surface matrices of 11*11 can be obtained, only the first three and the last three are listed here, and the other 619 surface matrices can be discussed as above. The obtained surface array matrix is calculated, and its corresponding RGB value is shown in the color comparison table.
如下表1所示彩色纤维六维网格混色矩阵的颜色对照表。The color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 1 below.
表1Table 1
[ξ i,j,1,1,1,1] [ξ i,j,1,1,1,1 ] | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 1010 | 1111 |
11 | 255,0,0255,0,0 | 232,23,0232,23,0 | 213,43,0213,43,0 | 196,59,0196,59,0 | 182,73,0182,73,0 | 170,85,0170,85,0 | 159,96,0159,96,0 | 150,105,0150,105,0 | 142,113,0142,113,0 | 134,121,0134,121,0 | 128,128,0128,128,0 |
22 | 255,0,0255,0,0 | 230,26,0230,26,0 | 209,46,0209,46,0 | 191,64,0191,64,0 | 177,78,0177,78,0 | 164,91,0164,91,0 | 153,102,0153,102,0 | 143,112,0143,112,0 | 135,120,0135,120,0 | 128,128,0128,128,0 | 121,134,0121,134,0 |
33 | 255,0,0255,0,0 | 227,28,0227,28,0 | 204,51,0204,51,0 | 185,70,0185,70,0 | 170,85,0170,85,0 | 157,98,0157,98,0 | 146,109,0146,109,0 | 136,119,0136,119,0 | 128,128,0128,128,0 | 120,135,0120,135,0 | 113,142,0113,142,0 |
44 | 255,0,0255,0,0 | 223,32,0223,32,0 | 198,57,0198,57,0 | 179,77,0179,77,0 | 162,93,0162,93,0 | 149,106,0149,106,0 | 137,118,0137,118,0 | 128,128,0128,128,0 | 119,136,0119,136,0 | 112,143,0112,143,0 | 105,150,0105,150,0 |
55 | 255,0,0255,0,0 | 219,36,0219,36,0 | 191,64,0191,64,0 | 170,85,0170,85,0 | 153,102,0153,102,0 | 139,116,0139,116,0 | 128,128,0128,128,0 | 118,137,0118,137,0 | 109,146,0109,146,0 | 102,153,0102,153,0 | 96,159,096,159,0 |
66 | 255,0,0255,0,0 | 213,43,0213,43,0 | 182,73,0182,73,0 | 159,96,0159,96,0 | 142,113,0142,113,0 | 128,128,0128,128,0 | 116,139,0116,139,0 | 106,149,0106,149,0 | 98,157,098,157,0 | 91,164,091,164,0 | 85,170,085,170,0 |
77 | 255,0,0255,0,0 | 204,51,0204,51,0 | 170,85,0170,85,0 | 146,109,0146,109,0 | 128,128,0128,128,0 | 113,142,0113,142,0 | 102,153,0102,153,0 | 93,162,093,162,0 | 85,170,085,170,0 | 78,177,078,177,0 | 73,182,073,182,0 |
88 | 255,0,0255,0,0 | 191,64,0191,64,0 | 153,102,0153,102,0 | 128,128,0128,128,0 | 109,146,0109,146,0 | 96,159,096,159,0 | 85,170,085,170,0 | 77,179,077,179,0 | 70,185,070,185,0 | 64,191,064,191,0 | 59,196,059,196,0 |
99 | 255,0,0255,0,0 | 170,85,0170,85,0 | 128,128,0128,128,0 | 102,153,0102,153,0 | 85,170,085,170,0 | 73,182,073,182,0 | 64,191,064,191,0 | 57,198,057,198,0 | 51,204,051,204,0 | 46,209,046,209,0 | 43,213,043,213,0 |
1010 | 255,0,0255,0,0 | 128,128,0128,128,0 | 85,170,085,170,0 | 64,191,064,191,0 | 51,204,051,204,0 | 43,213,043,213,0 | 36,219,036,219,0 | 32,223,032,223,0 | 28,227,028,227,0 | 26,230,026,230,0 | 23,232,023,232,0 |
1111 | 255,255,255255,255,255 | 0,255,00,255,0 | 0,255,00,255,0 | 0,255,00,255,0 | 0,255,00,255,0 | 0,255,00,255,0 | 0,255,00,255,0 | 0,255,00,255,0 | 0,255,00,255,0 | 0,255,00,255,0 | 0,255,00,255,0 |
如下表2所示彩色纤维六维网格混色矩阵的颜色对照表。The color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 2 below.
表2Table 2
[ξ i,j,1,1,1,2] [ξ i,j,1,1,1,2 ] | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 1010 | 1111 |
11 | 255,0,51255,0,51 | 236,19,47236,19,47 | 220,35,44220,35,44 | 206,49,41206,49,41 | 193,62,39193,62,39 | 182,73,36182,73,36 | 172,83,34172,83,34 | 163,92,33163,92,33 | 155,100,31155,100,31 | 148,107,30148,107,30 | 142,113,28142,113,28 |
22 | 255,0,55255,0,55 | 235,20,51235,20,51 | 217,38,47217,38,47 | 202,53,44202,53,44 | 189,66,41189,66,41 | 178,77,39178,77,39 | 168,87,36168,87,36 | 159,96,34159,96,34 | 150,105,33150,105,33 | 143,112,31143,112,31 | 136,119,30136,119,30 |
33 | 255,0,61255,0,61 | 233,22,55233,22,55 | 214,41,51214,41,51 | 198,57,47198,57,47 | 185,70,44185,70,44 | 173,82,41173,82,41 | 162,93,39162,93,39 | 153,102,36153,102,36 | 145,110,34145,110,34 | 137,118,33137,118,33 | 131,124,31131,124,31 |
44 | 255,0,67255,0,67 | 231,24,61231,24,61 | 211,44,55211,44,55 | 194,61,51194,61,51 | 179,76,47179,76,47 | 167,88,44167,88,44 | 156,99,41156,99,41 | 147,108,39147,108,39 | 138,117,36138,117,36 | 131,124,34131,124,34 | 124,131,33124,131,33 |
55 | 255,0,75255,0,75 | 228,27,67228,27,67 | 206,49,61206,49,61 | 188,67,55188,67,55 | 173,82,51173,82,51 | 161,94,47161,94,47 | 149,106,44149,106,44 | 140,115,41140,115,41 | 131,124,39131,124,39 | 124,131,36124,131,36 | 117,138,34117,138,34 |
66 | 255,0,85255,0,85 | 225,30,75225,30,75 | 201,54,67201,54,67 | 182,73,61182,73,61 | 166,89,55166,89,55 | 153,102,51153,102,51 | 142,113,47142,113,47 | 132,123,44132,123,44 | 123,132,41123,132,41 | 116,139,39116,139,39 | 109,146,36109,146,36 |
77 | 255,0,98255,0,98 | 221,34,85221,34,85 | 195,60,75195,60,75 | 174,81,67174,81,67 | 158,97,61158,97,61 | 144,111,55144,111,55 | 133,122,51133,122,51 | 123,132,47123,132,47 | 114,141,44114,141,44 | 107,148,41107,148,41 | 100,155,39100,155,39 |
88 | 255,0,116255,0,116 | 216,39,98216,39,98 | 187,68,85187,68,85 | 165,90,75165,90,75 | 148,107,67148,107,67 | 134,121,61134,121,61 | 122,133,55122,133,55 | 112,143,51112,143,51 | 104,151,47104,151,47 | 97,158,4497,158,44 | 90,165,4190,165,41 |
99 | 255,0,142255,0,142 | 209,46,116209,46,116 | 177,78,98177,78,98 | 153,102,85153,102,85 | 135,120,75135,120,75 | 121,134,67121,134,67 | 109,146,61109,146,61 | 100,155,55100,155,55 | 92,163,5192,163,51 | 85,170,4785,170,47 | 79,176,4479,176,44 |
1010 | 255,0,182255,0,182 | 198,57,142198,57,142 | 162,93,116162,93,116 | 137,118,98137,118,98 | 119,136,85119,136,85 | 105,150,75105,150,75 | 94,161,6794,161,67 | 85,170,6185,170,61 | 78,177,5578,177,55 | 71,184,5171,184,51 | 66,189,4766,189,47 |
1111 | 255,0,255255,0,255 | 182,73,182182,73,182 | 142,113,142142,113,142 | 116,139,116116,139,116 | 98,157,9898,157,98 | 85,170,8585,170,85 | 75,180,7575,180,75 | 67,188,6767,188,67 | 61,194,6161,194,61 | 55,200,5555,200,55 | 51,204,5151,204,51 |
如下表3所示彩色纤维六维网格混色矩阵的颜色对照表。The color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 3 below.
表3table 3
[ξ i,j,1,1,1,3] [ξ i,j,1,1,1,3 ] | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 1010 | 1111 |
11 | 255,0,85255,0,85 | 239,16,80239,16,80 | 225,30,75225,30,75 | 213,43,71213,43,71 | 201,54,67201,54,67 | 191,64,64191,64,64 | 182,73,61182,73,61 | 174,81,58174,81,58 | 166,89,55166,89,55 | 159,96,53159,96,53 | 153,102,51153,102,51 |
22 | 255,0,91255,0,91 | 238,17,85238,17,85 | 223,32,80223,32,80 | 210,45,75210,45,75 | 198,57,71198,57,71 | 188,67,67188,67,67 | 179,77,64179,77,64 | 170,85,61170,85,61 | 162,93,58162,93,58 | 155,100,55155,100,55 | 149,106,53149,106,53 |
33 | 255,0,98255,0,98 | 237,18,91237,18,91 | 221,34,85221,34,85 | 207,48,80207,48,80 | 195,60,75195,60,75 | 184,71,71184,71,71 | 174,81,67174,81,67 | 166,89,64166,89,64 | 158,97,61158,97,61 | 151,104,58151,104,58 | 144,111,55144,111,55 |
44 | 255,0,106255,0,106 | 235,20,98235,20,98 | 219,36,91219,36,91 | 204,51,85204,51,85 | 191,64,80191,64,80 | 180,75,75180,75,75 | 170,85,71170,85,71 | 161,94,67161,94,67 | 153,102,64153,102,64 | 146,109,61146,109,61 | 139,116,58139,116,58 |
55 | 255,0,116255,0,116 | 234,21,106234,21,106 | 216,39,98216,39,98 | 200,55,91200,55,91 | 187,68,85187,68,85 | 175,80,80175,80,80 | 165,90,75165,90,75 | 156,99,71156,99,71 | 148,107,67148,107,67 | 140,115,64140,115,64 | 134,121,61134,121,61 |
66 | 255,0,128255,0,128 | 232,23,116232,23,116 | 213,43,106213,43,106 | 196,59,98196,59,98 | 182,73,91182,73,91 | 170,85,85170,85,85 | 159,96,80159,96,80 | 150,105,75150,105,75 | 142,113,71142,113,71 | 134,121,67134,121,67 | 128,128,64128,128,64 |
77 | 255,0,142255,0,142 | 230,26,128230,26,128 | 209,46,116209,46,116 | 191,64,106191,64,106 | 177,78,98177,78,98 | 164,91,91164,91,91 | 153,102,85153,102,85 | 143,112,80143,112,80 | 135,120,75135,120,75 | 128,128,71128,128,71 | 121,134,67121,134,67 |
88 | 255,0,159255,0,159 | 227,28,142227,28,142 | 204,51,128204,51,128 | 185,70,116185,70,116 | 170,85,106170,85,106 | 157,98,98157,98,98 | 146,109,91146,109,91 | 136,119,85136,119,85 | 128,128,80128,128,80 | 120,135,75120,135,75 | 113,142,71113,142,71 |
99 | 255,0,182255,0,182 | 223,32,159223,32,159 | 198,57,142198,57,142 | 179,77,128179,77,128 | 162,93,116162,93,116 | 149,106,106149,106,106 | 137,118,98137,118,98 | 128,128,91128,128,91 | 119,136,85119,136,85 | 112,143,80112,143,80 | 105,150,75105,150,75 |
1010 | 255,0,213255,0,213 | 219,36,182219,36,182 | 191,64,159191,64,159 | 170,85,142170,85,142 | 153,102,128153,102,128 | 139,116,116139,116,116 | 128,128,106128,128,106 | 118,137,98118,137,98 | 109,146,91109,146,91 | 102,153,85102,153,85 | 96,159,8096,159,80 |
1111 | 255,0,255255,0,255 | 213,43,213213,43,213 | 182,73,182182,73,182 | 159,96,159159,96,159 | 142,113,142142,113,142 | 128,128,128128,128,128 | 116,139,116116,139,116 | 106,149,106106,149,106 | 98,157,9898,157,98 | 91,164,9191,164,91 | 85,170,8585,170,85 |
如下表4所示彩色纤维六维网格混色矩阵的颜色对照表。The color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 4 below.
表4Table 4
[ξ i,j,5,5,5,3] [ξ i,j,5,5,5,3 ] | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 1010 | 1111 |
11 | 109,73,182109,73,182 | 106,78,177106,78,177 | 103,83,172103,83,172 | 101,87,168101,87,168 | 98,92,16398,92,163 | 96,96,15996,96,159 | 93,100,15593,100,155 | 91,103,15291,103,152 | 89,107,14889,107,148 | 87,110,14587,110,145 | 85,113,14285,113,142 |
22 | 105,75,188105,75,188 | 102,80,182102,80,182 | 99,85,17799,85,177 | 96,90,17296,90,172 | 94,94,16894,94,168 | 92,98,16392,98,163 | 89,102,15989,102,159 | 87,106,15587,106,155 | 85,109,15285,109,152 | 83,113,14883,113,148 | 81,116,14581,116,145 |
33 | 100,77,193100,77,193 | 98,83,18898,83,188 | 95,87,18295,87,182 | 92,92,17792,92,177 | 90,96,17290,96,172 | 87,101,16887,101,168 | 85,105,16385,105,163 | 83,108,15983,108,159 | 81,112,15581,112,155 | 79,115,15279,115,152 | 77,119,14877,119,148 |
44 | 96,80,19996,80,199 | 93,85,19393,85,193 | 90,90,18890,90,188 | 87,95,18287,95,182 | 85,99,17785,99,177 | 83,103,17283,103,172 | 81,107,16881,107,168 | 78,111,16378,111,163 | 77,115,15977,115,159 | 75,118,15575,118,155 | 73,121,15273,121,152 |
55 | 90,82,20690,82,206 | 88,88,19988,88,199 | 85,93,19385,93,193 | 83,98,18883,98,188 | 80,102,18280,102,182 | 78,106,17778,106,177 | 76,110,17276,110,172 | 74,114,16874,114,168 | 72,118,16372,118,163 | 70,121,15970,121,159 | 68,124,15568,124,155 |
66 | 85,85,21385,85,213 | 82,90,20682,90,206 | 80,96,19980,96,199 | 77,100,19377,100,193 | 75,105,18875,105,188 | 73,109,18273,109,182 | 71,113,17771,113,177 | 69,117,17269,117,172 | 67,121,16867,121,168 | 65,124,16365,124,163 | 64,128,15964,128,159 |
77 | 79,88,22079,88,220 | 77,94,21377,94,213 | 74,99,20674,99,206 | 72,104,19972,104,199 | 70,108,19370,108,193 | 68,113,18868,113,188 | 66,117,18266,117,182 | 64,120,17764,120,177 | 62,124,17262,124,172 | 60,128,16860,128,168 | 59,131,16359,131,163 |
88 | 73,91,22873,91,228 | 70,97,22070,97,220 | 68,102,21368,102,213 | 66,107,20666,107,206 | 64,112,19964,112,199 | 62,116,19362,116,193 | 60,120,18860,120,188 | 58,124,18258,124,182 | 57,128,17757,128,177 | 55,131,17255,131,172 | 54,134,16854,134,168 |
99 | 66,94,23666,94,236 | 64,100,22864,100,228 | 62,106,22062,106,220 | 60,111,21360,111,213 | 58,115,20658,115,206 | 56,120,19956,120,199 | 54,124,19354,124,193 | 53,128,18853,128,188 | 51,131,18251,131,182 | 50,135,17750,135,177 | 48,138,17248,138,172 |
1010 | 59,98,24559,98,245 | 57,104,23657,104,236 | 55,109,22855,109,228 | 53,114,22053,114,220 | 51,119,21351,119,213 | 49,123,20649,123,206 | 48,128,19948,128,199 | 46,131,19346,131,193 | 45,135,18845,135,188 | 44,138,18244,138,182 | 43,142,17743,142,177 |
1111 | 51,102,25551,102,255 | 49,108,24549,108,245 | 47,113,23647,113,236 | 46,118,22846,118,228 | 44,123,22044,123,220 | 43,128,21343,128,213 | 41,132,20641,132,206 | 40,135,19940,135,199 | 39,139,19339,139,193 | 38,143,18838,143,188 | 36,146,18236,146,182 |
如下表5所示彩色纤维六维网格混色矩阵的颜色对照表。The color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 5 below.
表5table 5
[ξ i,j,5,5,5,4] [ξ i,j,5,5,5,4 ] | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 1010 | 1111 |
11 | 119,68,187119,68,187 | 116,73,182116,73,182 | 113,77,178113,77,178 | 110,82,173110,82,173 | 108,86,169108,86,169 | 105,90,165105,90,165 | 103,94,161103,94,161 | 100,97,158100,97,158 | 98,101,15498,101,154 | 96,104,15196,104,151 | 94,107,14894,107,148 |
22 | 115,70,192115,70,192 | 112,75,187112,75,187 | 109,79,182109,79,182 | 107,84,178107,84,178 | 104,88,173104,88,173 | 101,92,169101,92,169 | 99,96,16599,96,165 | 97,100,16197,100,161 | 95,103,15895,103,158 | 92,106,15492,106,154 | 90,110,15190,110,151 |
33 | 111,72,198111,72,198 | 108,77,192108,77,192 | 105,82,187105,82,187 | 103,86,182103,86,182 | 100,90,178100,90,178 | 98,94,17398,94,173 | 95,98,16995,98,169 | 93,102,16593,102,165 | 91,106,16191,106,161 | 89,109,15889,109,158 | 87,112,15487,112,154 |
44 | 107,74,203107,74,203 | 104,79,198104,79,198 | 101,84,192101,84,192 | 99,88,18799,88,187 | 96,93,18296,93,182 | 94,97,17894,97,178 | 91,101,17391,101,173 | 89,104,16989,104,169 | 87,108,16587,108,165 | 85,111,16185,111,161 | 83,115,15883,115,158 |
55 | 103,76,209103,76,209 | 100,81,203100,81,203 | 97,86,19897,86,198 | 94,91,19294,91,192 | 92,95,18792,95,187 | 89,99,18289,99,182 | 87,103,17887,103,178 | 85,107,17385,107,173 | 83,111,16983,111,169 | 81,114,16581,114,165 | 79,117,16179,117,161 |
66 | 98,78,21698,78,216 | 95,84,20995,84,209 | 92,89,20392,89,203 | 90,93,19890,93,198 | 87,98,19287,98,192 | 85,102,18785,102,187 | 83,106,18283,106,182 | 81,110,17881,110,178 | 79,113,17379,113,173 | 77,117,16977,117,169 | 75,120,16575,120,165 |
77 | 93,81,22393,81,223 | 90,86,21690,86,216 | 88,91,20988,91,209 | 85,96,20385,96,203 | 83,101,19883,101,198 | 80,105,19280,105,192 | 78,109,18778,109,187 | 76,113,18276,113,182 | 74,116,17874,116,178 | 72,120,17372,120,173 | 71,123,16971,123,169 |
88 | 88,84,23088,84,230 | 85,89,22385,89,223 | 82,94,21682,94,216 | 80,99,20980,99,209 | 78,103,20378,103,203 | 75,108,19875,108,198 | 73,112,19273,112,192 | 71,116,18771,116,187 | 70,119,18270,119,182 | 68,123,17868,123,178 | 66,126,17366,126,173 |
99 | 82,86,23882,86,238 | 79,92,23079,92,230 | 77,97,22377,97,223 | 75,102,21675,102,216 | 72,107,20972,107,209 | 70,111,20370,111,203 | 68,115,19868,115,198 | 66,119,19266,119,192 | 65,122,18765,122,187 | 63,126,18263,126,182 | 61,129,17861,129,178 |
1010 | 76,89,24676,89,246 | 73,95,23873,95,238 | 71,100,23071,100,230 | 69,105,22369,105,223 | 67,110,21667,110,216 | 65,114,20965,114,209 | 63,118,20363,118,203 | 61,122,19861,122,198 | 59,126,19259,126,192 | 58,129,18758,129,187 | 56,132,18256,132,182 |
1111 | 70,93,25570,93,255 | 67,98,24667,98,246 | 65,104,23865,104,238 | 63,109,23063,109,230 | 61,113,22361,113,223 | 59,118,21659,118,216 | 57,122,20957,122,209 | 55,126,20355,126,203 | 54,129,19854,129,198 | 52,133,19252,133,192 | 51,136,18751,136,187 |
如下表6所示彩色纤维六维网格混色矩阵的颜色对照表。The color comparison table of the color fiber six-dimensional grid color mixing matrix is shown in Table 6 below.
表6Table 6
[ξ i,j,5,5,5,5] [ξ i,j,5,5,5,5 ] | 11 | 22 | 33 | 44 | 55 | 66 | 77 | 88 | 99 | 1010 | 1111 |
11 | 128,64,191128,64,191 | 124,68,187124,68,187 | 121,73,182121,73,182 | 119,77,178119,77,178 | 116,81,174116,81,174 | 113,85,170113,85,170 | 111,89,166111,89,166 | 109,92,163109,92,163 | 106,96,159106,96,159 | 104,99,156104,99,156 | 102,102,153102,102,153 |
22 | 124,65,196124,65,196 | 121,70,191121,70,191 | 118,75,187118,75,187 | 115,79,182115,79,182 | 113,83,178113,83,178 | 110,87,174110,87,174 | 108,91,170108,91,170 | 105,94,166105,94,166 | 103,98,163103,98,163 | 101,101,159101,101,159 | 99,104,15699,104,156 |
33 | 121,67,201121,67,201 | 118,72,196118,72,196 | 115,77,191115,77,191 | 112,81,187112,81,187 | 109,85,182109,85,182 | 107,89,178107,89,178 | 104,93,174104,93,174 | 102,96,170102,96,170 | 100,100,166100,100,166 | 98,103,16398,103,163 | 96,106,15996,106,159 |
44 | 117,69,207117,69,207 | 114,74,201114,74,201 | 111,78,196111,78,196 | 108,83,191108,83,191 | 106,87,187106,87,187 | 103,91,182103,91,182 | 101,95,178101,95,178 | 99,99,17499,99,174 | 96,102,17096,102,170 | 94,105,16694,105,166 | 92,109,16392,109,163 |
55 | 113,71,213113,71,213 | 110,76,207110,76,207 | 107,81,201107,81,201 | 105,85,196105,85,196 | 102,89,191102,89,191 | 100,93,187100,93,187 | 97,97,18297,97,182 | 95,101,17895,101,178 | 93,104,17493,104,174 | 91,108,17091,108,170 | 89,111,16689,111,166 |
66 | 109,73,219109,73,219 | 106,78,213106,78,213 | 103,83,207103,83,207 | 101,87,201101,87,201 | 98,92,19698,92,196 | 96,96,19196,96,191 | 93,100,18793,100,187 | 91,103,18291,103,182 | 89,107,17889,107,178 | 87,110,17487,110,174 | 85,113,17085,113,170 |
77 | 105,75,225105,75,225 | 102,80,219102,80,219 | 99,85,21399,85,213 | 96,90,20796,90,207 | 94,94,20194,94,201 | 92,98,19692,98,196 | 89,102,19189,102,191 | 87,106,18787,106,187 | 85,109,18285,109,182 | 83,113,17883,113,178 | 81,116,17481,116,174 |
88 | 100,77,232100,77,232 | 98,83,22598,83,225 | 95,87,21995,87,219 | 92,92,21392,92,213 | 90,96,20790,96,207 | 87,101,20187,101,201 | 85,105,19685,105,196 | 83,108,19183,108,191 | 81,112,18781,112,187 | 79,115,18279,115,182 | 77,119,17877,119,178 |
99 | 96,80,23996,80,239 | 93,85,23293,85,232 | 90,90,22590,90,225 | 87,95,21987,95,219 | 85,99,21385,99,213 | 83,103,20783,103,207 | 81,107,20181,107,201 | 78,111,19678,111,196 | 77,115,19177,115,191 | 75,118,18775,118,187 | 73,121,18273,121,182 |
1010 | 90,82,24790,82,247 | 88,88,23988,88,239 | 85,93,23285,93,232 | 83,98,22583,98,225 | 80,102,21980,102,219 | 78,106,21378,106,213 | 76,110,20776,110,207 | 74,114,20174,114,201 | 72,118,19672,118,196 | 70,121,19170,121,191 | 68,124,18768,124,187 |
1111 | 85,85,25585,85,255 | 82,90,24782,90,247 | 80,96,23980,96,239 | 77,100,23277,100,232 | 75,105,22575,105,225 | 73,109,21973,109,219 | 71,113,21371,113,213 | 69,117,20769,117,207 | 67,121,20167,121,201 | 65,124,19665,124,196 | 64,128,19164,128,191 |
上面结合附图对本发明的实施方式作了详细说明,但是本发明并不限于上述实施方式,在本领域普通技术人员所具备的知识范围内,还可以在不脱离本发明宗旨的前提下做出各种变化。The embodiments of the present invention have been described in detail above in conjunction with the accompanying drawings, but the present invention is not limited to the above-mentioned embodiments, and can also be made within the scope of knowledge possessed by those of ordinary skill in the art without departing from the purpose of the present invention. Various changes.
Claims (10)
- 一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:针对指定六基色纤维α、β、γ、δ、ε、θ,以各基色纤维质量分别对应六维坐标系中的各根坐标轴,实现六维混色网格混色空间网格点阵列模型的构建,包括如下步骤:A color fiber six-dimensional color mixing space grid model and a method for constructing a color matrix of a grid point array, characterized in that: for the specified six primary color fibers α, β, γ, δ, ε, θ, the quality of each primary color fiber corresponds to Each coordinate axis in the six-dimensional coordinate system realizes the construction of a six-dimensional color mixing grid color mixing space grid point array model, including the following steps:步骤A.根据六基色纤维α、β、γ、δ、ε、θ分别所对应的预设最大质量ω α、ω β、ω γ、ω δ、ω ε、ω θ,确定各基色纤维最大质量分别所对应其所设坐标轴的位置,然后进入步骤B; Step A. Determine the maximum mass of each primary color fiber according to the preset maximum mass ω α , ω β , ω γ , ω δ , ω ε , ω θ corresponding to the six primary color fibers α, β, γ, δ, ε, θ respectively Respectively corresponding to the position of its set coordinate axis, and then enter step B;步骤B.针对六维坐标系中原点与基色纤维α最大质量所对应其所设坐标轴位置之间的线段,执行m等分,即获得包含该线段两端顶点在内的m+1个点,且该线段上各点的质量 i表示该线段上由六维坐标系中原点至基色纤维α最大质量所对应其所设坐标轴位置方向、各点的序号;针对六维坐标系中原点与基色纤维β最大质量所对应其所设坐标轴位置之间的线段,执行n等分,即获得包含该线段两端顶点在内的n+1个点,且该线段上各点的质量 j表示该线段上由六维坐标系中原点至基色纤维β最大质量所对应其所设坐标轴位置方向、各点的序号; Step B. For the line segment between the origin and the position of the coordinate axis corresponding to the maximum mass of the primary color fiber α in the six-dimensional coordinate system, perform m equal division, that is, obtain m+1 points including the vertices at both ends of the line segment. , and the mass of each point on the line segment i represents the position direction and the serial number of each point on the line segment from the origin in the six-dimensional coordinate system to the maximum mass of the primary color fiber α; for the origin in the six-dimensional coordinate system and the maximum mass of the primary color fiber β corresponding to the Set the line segment between the coordinate axis positions and perform n equal divisions, that is, n+1 points including the vertices at both ends of the line segment are obtained, and the quality of each point on the line segment is obtained. j represents the position direction of the coordinate axis and the serial number of each point on the line segment from the origin in the six-dimensional coordinate system to the maximum mass of the primary color fiber β;针对六维坐标系中原点与基色纤维γ最大质量所对应其所设坐标轴位置之间的线段,执行p等分,即获得包含该线段两端顶点在内的p+1个点,且该线段上各点的质量 k表示该线段上由六维坐标系中原点至基色纤维γ最大质量所对应其所设坐标轴位置方向、各点的序号; For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber γ in the six-dimensional coordinate system, perform p equal division, that is, to obtain p+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment k represents the position direction of the coordinate axis and the serial number of each point on the line segment from the origin in the six-dimensional coordinate system to the maximum mass of the primary color fiber γ;针对六维坐标系中原点与基色纤维δ最大质量所对应其所设坐标轴位置之间的线段,执行q等分,即获得包含该线段两端顶点在内的q+1个点,且该线段上各点的质量 τ表示该线段上由六维坐标系中原点至基色纤维δ最大质量所对应其所设坐标轴位置方向、各点的序号; For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber δ in the six-dimensional coordinate system, perform q equal division, that is, obtain q+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment τ represents the position direction of the coordinate axis and the serial number of each point on the line segment from the origin in the six-dimensional coordinate system to the maximum mass of the primary color fiber δ;针对六维坐标系中原点与基色纤维ε最大质量所对应其所设坐标轴位置之间的线段,执行s等分,即获得包含该线段两端顶点在内的s+1个点,且该线段上各点的质量 μ表示该线段上由六维坐标系中原点至基色纤维ε最大质量所对应其所设坐标轴位置方向、各点的序号; For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber ε in the six-dimensional coordinate system, perform s equal division, that is, obtain s+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment μ represents the position direction of the coordinate axis and the serial number of each point on the line segment from the origin in the six-dimensional coordinate system to the maximum mass of the primary color fiber ε;针对六维坐标系中原点与基色纤维θ最大质量所对应其所设坐标轴位置之间的线段,执行t等分,即获得包含该线段两端顶点在内的t+1个点,且该线段上各点的质量 表示该线段上由六维坐标系中原点至基色纤维θ最大质量所对应其所设坐标轴位置方向、各点的序号;然后进入步骤C; For the line segment between the origin and the coordinate axis position corresponding to the maximum mass of the primary color fiber θ in the six-dimensional coordinate system, perform t equal division, that is, obtain t+1 points including the vertices at both ends of the line segment, and the the mass of each point on the line segment Represents the position direction of the coordinate axis and the serial number of each point corresponding to the origin in the six-dimensional coordinate system to the maximum mass of the primary color fiber θ on the line segment; then enter step C;步骤C.构建六基色纤维α、β、γ、δ、ε、θ分别所对应混合比λ α(i,j,k,τ,μ)、λ β(i,j,k,τ,μ)、λ γ(i,j,k,τ,μ)、λ δ(i,j,k,τ,μ)、λ ε(i,j,k,τ,μ)、λ θ(i,j,k,τ,μ)如下,然后进入步骤D; Step C. Construct the mixing ratios λ α (i, j, k, τ, μ) and λ β (i, j, k, τ, μ) corresponding to the six primary color fibers α, β, γ, δ, ε, and θ respectively , λ γ (i, j, k, τ, μ), λ δ (i, j, k, τ, μ), λ ε (i, j, k, τ, μ), λ θ (i, j, k, τ, μ) are as follows, and then enter step D;步骤D.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量模型如下,然后进入步骤E;Step D. Construct the quality model of any point in the cube space corresponding to the six-dimensional color mixing grid color mixing space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ as follows, and then proceed to step E;步骤E.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的质量矩阵如下,然后进入步骤F;Step E. Constructing the six-dimensional color mixing grid color mixing space corresponding to the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ The quality matrix of any point in the cube space is as follows, and then enter step F;且i=1,2,3,...,m+1;j=1,2,3,...,n+1;k=1,2,3,...,p+1;τ=1,2,3,...,q+1;μ=1,2,3,...,s+1; and i=1,2,3,...,m+1; j=1,2,3,...,n+1; k=1,2,3,...,p+1; τ =1,2,3,...,q+1; μ=1,2,3,...,s+1;步骤F.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型如下:Step F. Construct the color value model of any point in the cube space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ corresponding to the color mixing space of the six-dimensional color mixing grid as follows:然后进入步骤G,其中,R α、G α、B α表示基色纤维α所对应的RGB色,R β、G β、B β表示基色纤维β所对应的RGB色,R γ、G γ、B γ表示基色纤维γ所对应的RGB色,R δ、G δ、B δ表示基色纤维δ所对应的RGB色,R ε、G ε、B ε表示基色纤维ε所对应的RGB色;R θ、G θ、B θ表示基色纤维θ所对应的RGB色,;ξ i,j,k,τ,μ,θ表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的颜色值,R ξ(i,j,k,τ,μ,θ)、G ξ(i,j,k,τ,μ,θ)、B ξ(i,j,k,τ,μ,θ)表示六维坐标系中坐标(i,j,k,τ,μ,θ)位置所对应六基色纤维α、β、γ、δ、ε、θ混合纱线的RGB色; Then enter step G, wherein R α , G α , B α represent the RGB color corresponding to the primary color fiber α, R β , G β , B β represent the RGB color corresponding to the primary color fiber β, R γ , G γ , B γ represents the RGB color corresponding to the primary color fiber γ, R δ , G δ , B δ represent the RGB color corresponding to the primary color fiber δ, R ε , G ε , B ε represent the RGB color corresponding to the primary color fiber ε; R θ , G θ , B θ represent the RGB color corresponding to the primary color fiber θ; Corresponding to the color value of the mixed yarn of six primary color fibers α, β, γ, δ, ε, θ, R ξ (i,j,k,τ,μ,θ), G ξ (i,j,k,τ,μ , θ), B ξ (i, j, k, τ, μ, θ) represent the six primary color fibers α, β, γ corresponding to the coordinates (i, j, k, τ, μ, θ) in the six-dimensional coordinate system , δ, ε, θ mixed yarn RGB color;步骤G.构建六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值矩阵如下:Step G. Constructing the color value matrix of any point in the cube space based on the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ corresponding to the color mixing space of the six-dimensional color mixing grid is as follows:
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即A color fiber six-dimensional color mixing space grid model and a method for constructing a grid point array color matrix according to claim 1, wherein: based on the six primary color fibers α, β, γ, δ, ε, θ The maximum mass and the equal fraction are equal to each other, namelyω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t,则步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型如下: ω α =ω β =ω γ =ω δ =ω ε =ω θ , m=n=p=q=s=t, then the six-dimensional color mixing grid color space obtained from steps A to G corresponds to the six primary colors. The color value model of any point in the cube space with the preset maximum mass of fibers α, β, γ, δ, ε, θ is as follows:
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征 在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t,按i=1、2、3、...、n+1,j=1、2、3、...、n+1,k=1、2、3、...、n+1,τ=1、2、3、...、n+1,μ=1、2、3、...、n+1, 构建零维矩阵如下: A color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method according to claim 1, characterized in that: based on the six-dimensional color mixing grid color mixing space obtained in steps A to G corresponding to the The color value model of any point in the cube space with the preset maximum mass of the six primary color fibers α, β, γ, δ, ε, θ, and the maximum mass of the six primary color fibers α, β, γ, δ, ε, θ and The equal parts are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε =ω θ , m=n=p=q=s=t, according to i=1, 2, 3,..., n+1, j=1, 2, 3,..., n+1, k=1, 2, 3,..., n+1, τ=1, 2, 3,..., n+ 1, μ=1, 2, 3, ..., n+1, The zero-dimensional matrix is constructed as follows:M 1,1=[ξ i,j,k,τ,μ,θ]。 M 1,1 =[ξ i,j,k,τ,μ,θ ].
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t,基色纤维α对应六维坐标系中的X轴、基色纤维β对应六维坐标系中的Y轴、基色纤维γ对应六维坐标系中的Z轴,基色纤维δ对应六维坐标系中的U轴,基色纤维ε对应六维坐标系中的V轴,基色纤维θ对应六维坐标系中的W轴; A color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method according to claim 1, characterized in that: based on the six-dimensional color mixing grid color mixing space obtained in steps A to G corresponding to the The color value model of any point in the cube space with the preset maximum mass of the six primary color fibers α, β, γ, δ, ε, θ, and the maximum mass of the six primary color fibers α, β, γ, δ, ε, θ and The equal parts are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε =ω θ , m=n=p=q=s=t, the primary color fiber α corresponds to the X-axis in the six-dimensional coordinate system, The primary color fiber β corresponds to the Y axis in the six-dimensional coordinate system, the primary color fiber γ corresponds to the Z axis in the six-dimensional coordinate system, the primary color fiber δ corresponds to the U axis in the six-dimensional coordinate system, and the primary color fiber ε corresponds to the V axis in the six-dimensional coordinate system. axis, the primary color fiber θ corresponds to the W axis in the six-dimensional coordinate system;其中,基于i、j、k、τ、μ为常数,构建与W轴平行的(n+1) 5个1行(n+1)列一维颜色线阵列如下: Among them, based on i, j, k, τ, μ as constants, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the W axis as follows:基于i、j、k、τ、 为常数,构建与V轴平行的(n+1) 5个1行(n+1)列一维颜色线阵列如下: Based on i, j, k, τ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the V axis as follows:基于i、j、k、μ、 为常数,构建与U轴平行的(n+1) 5个1行(n+1)列一维颜色线阵列如下: Based on i, j, k, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the U axis as follows:基于i、j、τ、μ、 为常数,构建与Z轴平行的(n+1) 5个1行(n+1)列一维颜色线阵列如下: Based on i, j, τ, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the Z axis as follows:基于i、k、τ、μ、 为常数,构建与Y轴平行的(n+1) 5个1行(n+1)列一维颜色线阵列如下: Based on i, k, τ, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the Y axis as follows:基于j、k、τ、μ、 为常数,构建与X轴平行的(n+1) 5个1行(n+1)列一维颜色线阵列如下: Based on j, k, τ, μ, is a constant, construct (n+1) 5 1-row (n+1)-column one-dimensional color line arrays parallel to the X-axis as follows:
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t; A color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method according to claim 1, characterized in that: based on the six-dimensional color mixing grid color mixing space obtained in steps A to G corresponding to the The color value model of any point in the cube space with the preset maximum mass of the six primary color fibers α, β, γ, δ, ε, θ, and the maximum mass of the six primary color fibers α, β, γ, δ, ε, θ and The equal parts are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε =ω θ , m=n=p=q=s=t;其中,基于i、j、k、τ为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Among them, based on i, j, k, τ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于i、j、k、μ为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on i, j, k, and μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于i、j、k、 为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on i, j, k, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于i、j、τ、μ为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on i, j, τ, and μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于i、j、τ、 为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on i, j, τ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于i、j、μ、 为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on i, j, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于i、k、τ、μ为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on i, k, τ, μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于i、k、τ、 为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on i, k, τ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于i、k、μ、 为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on i, k, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于i、τ、μ、 为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on i, τ, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于j、k、τ、μ为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on j, k, τ, μ as constants, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于j、k、τ、 为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on j, k, τ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于j、k、μ、 为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on j, k, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于j、τ、μ、 为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on j, τ, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:基于k、τ、μ、 为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下: Based on k, τ, μ, is a constant, construct (n+1) 4 (n+1) rows (n+1) columns two-dimensional color array as follows:
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t; A color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method according to claim 1, characterized in that: based on the six-dimensional color mixing grid color mixing space obtained in steps A to G corresponding to the The color value model of any point in the cube space with the preset maximum mass of the six primary color fibers α, β, γ, δ, ε, θ, and the maximum mass of the six primary color fibers α, β, γ, δ, ε, θ and The equal parts are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε =ω θ , m=n=p=q=s=t;其中,基于i、j、k为常数,以及τ、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Among them, based on i, j, k are constants, and τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于i、j、τ为常数,以及k、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on i, j, τ being constant, and k, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于i、j、μ为常数,以及k、τ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on i, j, μ being constant, and k, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于i、j、 为常数,以及k、τ、μ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on i, j, is a constant, and k, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ξ i,j,k,τ,μ,θ ;基于i、k、τ为常数,以及j、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on i, k, τ being constant, and j, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于i、k、μ为常数,以及j、τ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on i, k, μ being constant, and j, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于i、k、 为常数,以及j、τ、μ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on i, k, is a constant, and j, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 3 -dimensional color arrays for ξ i,j,k,τ,μ,θ ;基于i、τ、μ为常数,以及j、k、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on i, τ, μ being constant, and j, k, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于i、τ、 为常数,以及j、k、μ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on i, τ, is a constant, and j, k, μ are equal to 1, ..., n+1 respectively, construct (n+1) 3 -dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于i、μ、 为常数,以及j、k、τ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on i, μ, is a constant, and j, k, τ are equal to 1, ..., n+1, respectively, construct (n+1) 3 -dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于j、k、τ为常数,以及i、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on j, k, τ being constant, and i, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于j、k、μ为常数,以及i、τ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on j, k, μ being constant, and i, τ, Equal to 1,...,n+1 respectively, construct (n+1) 3 -dimensional color arrays for ξ i,j,k,τ,μ,θ ;基于j、k、 为常数,以及i、τ、μ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on j, k, is a constant, and i , τ, μ are respectively equal to 1 , .基于j、τ、μ为常数,以及i、k、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on j, τ, μ being constant, and i, k, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于j、τ、 为常数,以及i、k、μ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on j, τ, is a constant, and i, k, μ are respectively equal to 1,...,n+1, construct (n+1) 3 three-dimensional color arrays for ξ i,j,k,τ,μ,θ ;基于j、μ、 为常数,以及i、k、τ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on j, μ, is a constant, and i, k, τ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于k、τ、μ为常数,以及i、j、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on k, τ, μ are constants, and i, j, Equal to 1, ..., n+1 respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于k、τ、 为常数,以及i、j、μ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on k, τ, is a constant, and i, j, μ are respectively equal to 1,...,n+1, construct (n+1) 3 -dimensional color arrays for ξ i,j,k,τ,μ,θ ;基于k、μ、 为常数,以及i、j、τ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 3个三维颜色阵列; Based on k, μ, is a constant, and i, j, τ are equal to 1, ..., n+1, respectively, construct (n+1) 3 three-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t; A color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method according to claim 1, characterized in that: based on the six-dimensional color mixing grid color mixing space obtained in steps A to G corresponding to the The color value model of any point in the cube space with the preset maximum mass of the six primary color fibers α, β, γ, δ, ε, θ, and the maximum mass of the six primary color fibers α, β, γ, δ, ε, θ and The equal parts are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε =ω θ , m=n=p=q=s=t;其中,基于i、j为常数,以及k、τ、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Among them, based on i, j being constant, and k, τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于i、k为常数,以及j、τ、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on i, k being constant, and j, τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于i、τ为常数,以及j、k、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on i, τ being constant, and j, k, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于i、μ为常数,以及j、k、τ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on i, μ being constant, and j, k, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于i、 为常数,以及j、k、τ、μ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on i, is a constant, and j, k, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于j、k为常数,以及i、τ、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on j, k as constants, and i, τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于j、τ为常数,以及i、k、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on j, τ are constants, and i, k, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于j、μ为常数,以及i、k、τ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on j, μ being constant, and i, k, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于j、 为常数,以及i、k、τ、μ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on j, is a constant, and i, k, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于k、τ为常数,以及i、j、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on k, τ are constants, and i, j, μ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于k、μ为常数,以及i、j、τ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on k, μ being constant, and i, j, τ, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于k、 为常数,以及i、j、τ、μ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on k, is a constant, and i, j, τ, μ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于τ、μ为常数,以及i、j、k、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on τ, μ being constant, and i, j, k, Equal to 1, ..., n+1 respectively, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于τ、 为常数,以及i、j、k、μ分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1) 2个四维颜色阵列; Based on τ, is a constant, and i, j, k, μ are respectively equal to 1, ..., n+1, construct (n+1) 2 four-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t; A color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method according to claim 1, characterized in that: based on the six-dimensional color mixing grid color mixing space obtained in steps A to G corresponding to the The color value model of any point in the cube space with the preset maximum mass of the six primary color fibers α, β, γ, δ, ε, θ, and the maximum mass of the six primary color fibers α, β, γ, δ, ε, θ and The equal parts are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε =ω θ , m=n=p=q=s=t;其中,基于i为常数,以及j、k、τ、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列; where i is a constant based on i, and j, k, τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于j为常数,以及i、k、τ、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列; Based on j being a constant, and i, k, τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于k为常数,以及i、j、τ、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列; Based on k being a constant, and i, j, τ, μ, Equal to 1, ..., n+1 respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于τ为常数,以及i、j、k、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列; Based on τ being a constant, and i, j, k, μ, Equal to 1, ..., n+1 respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;基于μ为常数,以及i、j、k、τ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建(n+1)个五维颜色阵列; Based on μ being a constant, and i, j, k, τ, Equal to 1, ..., n+1 respectively, construct (n+1) five-dimensional color arrays for ξ i, j, k, τ, μ, θ ;
- 根据权利要求1所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法,其特征在于:基于步骤A至步骤G所获六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值模型,以及所述六基色纤维α、β、γ、δ、ε、θ的最大质量与等分数就彼此相等,即ω α=ω β=ω γ=ω δ=ω ε=ω θ,m=n=p=q=s=t;基于i、j、k、τ、μ、 分别等于1、…、n+1,针对ξ i,j,k,τ,μ,θ构建1个六维颜色阵列。 A color fiber six-dimensional color mixing space grid model and its grid point array color matrix construction method according to claim 1, characterized in that: based on the six-dimensional color mixing grid color mixing space obtained in steps A to G corresponding to the The color value model of any point in the cube space with the preset maximum mass of the six primary color fibers α, β, γ, δ, ε, θ, and the maximum mass of the six primary color fibers α, β, γ, δ, ε, θ and The equal parts are equal to each other, that is, ω α =ω β =ω γ =ω δ =ω ε =ω θ ,m=n=p=q=s=t; based on i,j,k,τ,μ, Equal to 1, ..., n+1, respectively, construct a six-dimensional color array for ξ i, j, k, τ, μ, θ .
- 一种针对权利要求1至9中任意一项所述一种彩色纤维六维混色空间网格模型及其网格点阵列颜色矩阵构建方法的应用,其特征在于:将所述六维混色网格混色空间所对应基于六基色纤维α、β、γ、δ、ε、θ预设最大质量的立方体空间中任意点的颜色值,存储于数据库中,按如下方式,用于实现对目标颜色的分析;An application for a color fiber six-dimensional color mixing space grid model and a method for constructing a grid point array color matrix according to any one of claims 1 to 9, characterized in that: the six-dimensional color mixing grid The color value of any point in the cube space corresponding to the preset maximum quality of the six primary color fibers α, β, γ, δ, ε, θ corresponding to the color mixing space is stored in the database, and is used to analyze the target color as follows ;首选采用检色仪检测获得目标颜色所对应的RGB颜色检测数据,并在数据库中查找该RGB颜色检测数据所对应的网格点;然后在以该网格点为原点、周围预设半径范围,通过比对的方式,获得目标颜色所对应的网格点;最后由该网格点所对应的RGB颜色数据,构成目标颜色所对应的RGB颜色数据。It is preferred to use a color detector to detect the RGB color detection data corresponding to the target color, and find the grid point corresponding to the RGB color detection data in the database; The grid point corresponding to the target color is obtained by way of comparison; finally, the RGB color data corresponding to the target color is formed from the RGB color data corresponding to the grid point.
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