WO2022110587A1 - 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 - Google Patents

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 Download PDF

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WO2022110587A1
WO2022110587A1 PCT/CN2021/082628 CN2021082628W WO2022110587A1 WO 2022110587 A1 WO2022110587 A1 WO 2022110587A1 CN 2021082628 W CN2021082628 W CN 2021082628W WO 2022110587 A1 WO2022110587 A1 WO 2022110587A1
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color
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薛元
崔鹏
孙显强
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Jiangnan University
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    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/20—Design optimisation, verification or simulation
    • G06F30/23—Design optimisation, verification or simulation using finite element methods [FEM] or finite difference methods [FDM]
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F30/00—Computer-aided design [CAD]
    • G06F30/10—Geometric CAD
    • G—PHYSICS
    • G06—COMPUTING OR CALCULATING; COUNTING
    • G06F—ELECTRIC DIGITAL DATA PROCESSING
    • G06F2113/00—Details relating to the application field
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    • Y—GENERAL TAGGING OF NEW TECHNOLOGICAL DEVELOPMENTS; GENERAL TAGGING OF CROSS-SECTIONAL TECHNOLOGIES SPANNING OVER SEVERAL SECTIONS OF THE IPC; TECHNICAL SUBJECTS COVERED BY FORMER USPC CROSS-REFERENCE ART COLLECTIONS [XRACs] AND DIGESTS
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    • Y02P90/00—Enabling technologies with a potential contribution to greenhouse gas [GHG] emissions mitigation
    • Y02P90/30—Computing systems specially adapted for manufacturing

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  • 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

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,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。

Description

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 技术领域
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。
背景技术
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。
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。
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。
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。
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:
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;
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;
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;
发明内容
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。
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:
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;
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
Figure PCTCN2021082628-appb-000001
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;
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
Figure PCTCN2021082628-appb-000002
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;
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
Figure PCTCN2021082628-appb-000003
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;
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
Figure PCTCN2021082628-appb-000004
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;
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
Figure PCTCN2021082628-appb-000005
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;
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
Figure PCTCN2021082628-appb-000006
Figure PCTCN2021082628-appb-000007
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;
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;
Figure PCTCN2021082628-appb-000008
Figure PCTCN2021082628-appb-000009
Figure PCTCN2021082628-appb-000010
Figure PCTCN2021082628-appb-000011
Figure PCTCN2021082628-appb-000012
Figure PCTCN2021082628-appb-000013
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;
Figure PCTCN2021082628-appb-000014
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;
Figure PCTCN2021082628-appb-000015
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;
Figure PCTCN2021082628-appb-000016
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:
Figure PCTCN2021082628-appb-000017
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;
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:
Figure PCTCN2021082628-appb-000018
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;
Figure PCTCN2021082628-appb-000019
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:
Figure PCTCN2021082628-appb-000020
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,
Figure PCTCN2021082628-appb-000021
构建零维矩阵如下:
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;
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:
Figure PCTCN2021082628-appb-000022
基于i、j、k、τ、
Figure PCTCN2021082628-appb-000023
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:
Figure PCTCN2021082628-appb-000024
基于i、j、k、μ、
Figure PCTCN2021082628-appb-000025
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:
Figure PCTCN2021082628-appb-000026
基于i、j、τ、μ、
Figure PCTCN2021082628-appb-000027
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:
Figure PCTCN2021082628-appb-000028
基于i、k、τ、μ、
Figure PCTCN2021082628-appb-000029
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:
Figure PCTCN2021082628-appb-000030
基于j、k、τ、μ、
Figure PCTCN2021082628-appb-000031
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:
Figure PCTCN2021082628-appb-000032
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;
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:
Figure PCTCN2021082628-appb-000033
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:
Figure PCTCN2021082628-appb-000034
基于i、j、k、
Figure PCTCN2021082628-appb-000035
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000036
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:
Figure PCTCN2021082628-appb-000037
基于i、j、τ、
Figure PCTCN2021082628-appb-000038
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000039
基于i、j、μ、
Figure PCTCN2021082628-appb-000040
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000041
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:
Figure PCTCN2021082628-appb-000042
基于i、k、τ、
Figure PCTCN2021082628-appb-000043
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000044
基于i、k、μ、
Figure PCTCN2021082628-appb-000045
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000046
基于i、τ、μ、
Figure PCTCN2021082628-appb-000047
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000048
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:
Figure PCTCN2021082628-appb-000049
基于j、k、τ、
Figure PCTCN2021082628-appb-000050
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000051
基于j、k、μ、
Figure PCTCN2021082628-appb-000052
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000053
基于j、τ、μ、
Figure PCTCN2021082628-appb-000054
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000055
基于k、τ、μ、
Figure PCTCN2021082628-appb-000056
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000057
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;
其中,基于i、j、k为常数,以及τ、μ、
Figure PCTCN2021082628-appb-000058
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;
基于i、j、τ为常数,以及k、μ、
Figure PCTCN2021082628-appb-000059
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;
基于i、j、μ为常数,以及k、τ、
Figure PCTCN2021082628-appb-000060
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;
基于i、j、
Figure PCTCN2021082628-appb-000061
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;
基于i、k、τ为常数,以及j、μ、
Figure PCTCN2021082628-appb-000062
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;
基于i、k、μ为常数,以及j、τ、
Figure PCTCN2021082628-appb-000063
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;
基于i、k、
Figure PCTCN2021082628-appb-000064
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;
基于i、τ、μ为常数,以及j、k、
Figure PCTCN2021082628-appb-000065
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;
基于i、τ、
Figure PCTCN2021082628-appb-000066
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;
基于i、μ、
Figure PCTCN2021082628-appb-000067
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;
基于j、k、τ为常数,以及i、μ、
Figure PCTCN2021082628-appb-000068
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;
基于j、k、μ为常数,以及i、τ、
Figure PCTCN2021082628-appb-000069
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;
基于j、k、
Figure PCTCN2021082628-appb-000070
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;
基于j、τ、μ为常数,以及i、k、
Figure PCTCN2021082628-appb-000071
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;
基于j、τ、
Figure PCTCN2021082628-appb-000072
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;
基于j、μ、
Figure PCTCN2021082628-appb-000073
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;
基于k、τ、μ为常数,以及i、j、
Figure PCTCN2021082628-appb-000074
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;
基于k、τ、
Figure PCTCN2021082628-appb-000075
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;
基于k、μ、
Figure PCTCN2021082628-appb-000076
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;
基于τ、μ、
Figure PCTCN2021082628-appb-000077
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。
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;
其中,基于i、j为常数,以及k、τ、μ、
Figure PCTCN2021082628-appb-000078
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;
基于i、k为常数,以及j、τ、μ、
Figure PCTCN2021082628-appb-000079
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;
基于i、τ为常数,以及j、k、μ、
Figure PCTCN2021082628-appb-000080
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;
基于i、μ为常数,以及j、k、τ、
Figure PCTCN2021082628-appb-000081
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;
基于i、
Figure PCTCN2021082628-appb-000082
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;
基于j、k为常数,以及i、τ、μ、
Figure PCTCN2021082628-appb-000083
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;
基于j、τ为常数,以及i、k、μ、
Figure PCTCN2021082628-appb-000084
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;
基于j、μ为常数,以及i、k、τ、
Figure PCTCN2021082628-appb-000085
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;
基于j、
Figure PCTCN2021082628-appb-000086
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;
基于k、τ为常数,以及i、j、μ、
Figure PCTCN2021082628-appb-000087
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;
基于k、μ为常数,以及i、j、τ、
Figure PCTCN2021082628-appb-000088
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;
基于k、
Figure PCTCN2021082628-appb-000089
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;
基于τ、μ为常数,以及i、j、k、
Figure PCTCN2021082628-appb-000090
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;
基于τ、
Figure PCTCN2021082628-appb-000091
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;
基于μ、
Figure PCTCN2021082628-appb-000092
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。
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;
其中,基于i为常数,以及j、k、τ、μ、
Figure PCTCN2021082628-appb-000093
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;
基于j为常数,以及i、k、τ、μ、
Figure PCTCN2021082628-appb-000094
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;
基于k为常数,以及i、j、τ、μ、
Figure PCTCN2021082628-appb-000095
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;
基于τ为常数,以及i、j、k、μ、
Figure PCTCN2021082628-appb-000096
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;
基于μ为常数,以及i、j、k、τ、
Figure PCTCN2021082628-appb-000097
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;
基于
Figure PCTCN2021082628-appb-000098
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。
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、
Figure PCTCN2021082628-appb-000099
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。
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;
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。
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:
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。
附图说明
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。
具体实施方式
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。
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。
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。
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
Figure PCTCN2021082628-appb-000100
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。
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
Figure PCTCN2021082628-appb-000101
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。
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
Figure PCTCN2021082628-appb-000102
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。
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
Figure PCTCN2021082628-appb-000103
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。
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
Figure PCTCN2021082628-appb-000104
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。
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
Figure PCTCN2021082628-appb-000105
Figure PCTCN2021082628-appb-000106
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。
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;
Figure PCTCN2021082628-appb-000107
Figure PCTCN2021082628-appb-000108
Figure PCTCN2021082628-appb-000109
Figure PCTCN2021082628-appb-000110
Figure PCTCN2021082628-appb-000111
Figure PCTCN2021082628-appb-000112
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;
Figure PCTCN2021082628-appb-000113
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;
Figure PCTCN2021082628-appb-000114
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;
Figure PCTCN2021082628-appb-000115
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:
Figure PCTCN2021082628-appb-000116
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。
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:
Figure PCTCN2021082628-appb-000117
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;
Figure PCTCN2021082628-appb-000118
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:
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;
Figure PCTCN2021082628-appb-000119
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;
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;
Figure PCTCN2021082628-appb-000120
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;
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;
Figure PCTCN2021082628-appb-000121
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;
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;
Figure PCTCN2021082628-appb-000122
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;
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;
Figure PCTCN2021082628-appb-000123
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;
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;
Figure PCTCN2021082628-appb-000124
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;
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;
Figure PCTCN2021082628-appb-000125
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。
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:
Figure PCTCN2021082628-appb-000126
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,
Figure PCTCN2021082628-appb-000127
构建零维矩阵如下:
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。
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:
Figure PCTCN2021082628-appb-000128
其中:
Figure PCTCN2021082628-appb-000129
且i=i;j=j;k=k;τ=τ;μ=μ;
Figure PCTCN2021082628-appb-000130
基于i、j、k、τ、
Figure PCTCN2021082628-appb-000131
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:
Figure PCTCN2021082628-appb-000132
基于i、j、k、μ、
Figure PCTCN2021082628-appb-000133
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:
Figure PCTCN2021082628-appb-000134
基于i、j、τ、μ、
Figure PCTCN2021082628-appb-000135
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:
Figure PCTCN2021082628-appb-000136
基于i、k、τ、μ、
Figure PCTCN2021082628-appb-000137
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:
Figure PCTCN2021082628-appb-000138
基于j、k、τ、μ、
Figure PCTCN2021082628-appb-000139
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:
Figure PCTCN2021082628-appb-000140
实际应用当中,对于一维阵列进行展开,主要如下:
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:
Figure PCTCN2021082628-appb-000141
…
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:
Figure PCTCN2021082628-appb-000142
其中:
Figure PCTCN2021082628-appb-000143
…
③当i=n+1、j=n+1、k=n+1、τ=n+1、
Figure PCTCN2021082628-appb-000144
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:
Figure PCTCN2021082628-appb-000145
其中:
Figure PCTCN2021082628-appb-000146
其余十四种情况可根据上述方法和思路,进行推导得出。
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:
Figure PCTCN2021082628-appb-000147
其中:
Figure PCTCN2021082628-appb-000148
且i=i;j=j;k=k;τ=τ;μ=1,2,3,...,n+1;
Figure PCTCN2021082628-appb-000149
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:
Figure PCTCN2021082628-appb-000150
基于i、j、k、
Figure PCTCN2021082628-appb-000151
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000152
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:
Figure PCTCN2021082628-appb-000153
基于i、j、τ、
Figure PCTCN2021082628-appb-000154
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000155
基于i、j、μ、
Figure PCTCN2021082628-appb-000156
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000157
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:
Figure PCTCN2021082628-appb-000158
基于i、k、τ、
Figure PCTCN2021082628-appb-000159
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000160
基于i、k、μ、
Figure PCTCN2021082628-appb-000161
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000162
基于i、τ、μ、
Figure PCTCN2021082628-appb-000163
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000164
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:
Figure PCTCN2021082628-appb-000165
基于j、k、τ、
Figure PCTCN2021082628-appb-000166
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000167
基于j、k、μ、
Figure PCTCN2021082628-appb-000168
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000169
基于j、τ、μ、
Figure PCTCN2021082628-appb-000170
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000171
基于k、τ、μ、
Figure PCTCN2021082628-appb-000172
为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
Figure PCTCN2021082628-appb-000173
实际应用当中,对于二维阵列进行展开,主要如下:
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:
Figure PCTCN2021082628-appb-000174
其中:
Figure PCTCN2021082628-appb-000175
…
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:
Figure PCTCN2021082628-appb-000176
其中:
Figure PCTCN2021082628-appb-000177
…
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:
Figure PCTCN2021082628-appb-000178
其中:
Figure PCTCN2021082628-appb-000179
其余十四种情况可根据上述方法和思路,进行推导得出。
进一步基于i、j、k为常数,以及τ、μ、
Figure PCTCN2021082628-appb-000180
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:
Figure PCTCN2021082628-appb-000181
且i=i;j=j;k=k;τ=1,2,3,...,n+1;μ=1,2,3,...,n+1;
Figure PCTCN2021082628-appb-000182
基于i、j、τ为常数,以及k、μ、
Figure PCTCN2021082628-appb-000183
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;
基于i、j、μ为常数,以及k、τ、
Figure PCTCN2021082628-appb-000184
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;
基于i、j、
Figure PCTCN2021082628-appb-000185
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;
基于i、k、τ为常数,以及j、μ、
Figure PCTCN2021082628-appb-000186
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;
基于i、k、μ为常数,以及j、τ、
Figure PCTCN2021082628-appb-000187
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;
基于i、k、
Figure PCTCN2021082628-appb-000188
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;
基于i、τ、μ为常数,以及j、k、
Figure PCTCN2021082628-appb-000189
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;
基于i、τ、
Figure PCTCN2021082628-appb-000190
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;
基于i、μ、
Figure PCTCN2021082628-appb-000191
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;
基于j、k、τ为常数,以及i、μ、
Figure PCTCN2021082628-appb-000192
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;
基于j、k、μ为常数,以及i、τ、
Figure PCTCN2021082628-appb-000193
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;
基于j、k、
Figure PCTCN2021082628-appb-000194
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;
基于j、τ、μ为常数,以及i、k、
Figure PCTCN2021082628-appb-000195
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;
基于j、τ、
Figure PCTCN2021082628-appb-000196
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;
基于j、μ、
Figure PCTCN2021082628-appb-000197
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;
基于k、τ、μ为常数,以及i、j、
Figure PCTCN2021082628-appb-000198
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;
基于k、τ、
Figure PCTCN2021082628-appb-000199
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;
基于k、μ、
Figure PCTCN2021082628-appb-000200
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;
基于τ、μ、
Figure PCTCN2021082628-appb-000201
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。
实际应用当中,对于三维阵列进行展开,主要如下:
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:
Figure PCTCN2021082628-appb-000202
其中:
Figure PCTCN2021082628-appb-000203
…
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:
Figure PCTCN2021082628-appb-000204
其中:
Figure PCTCN2021082628-appb-000205
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:
Figure PCTCN2021082628-appb-000206
其中:
Figure PCTCN2021082628-appb-000207
其余十九种情况可根据上述方法和思路,进行推导得出。
还有基于i、j为常数,以及k、τ、μ、
Figure PCTCN2021082628-appb-000208
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:
Figure PCTCN2021082628-appb-000209
且i=i;j=j;k=1,2,3,...,n+1;τ=1,2,3,...,n+1;μ=1,2,3,...,n+1;
Figure PCTCN2021082628-appb-000210
基于i、k为常数,以及j、τ、μ、
Figure PCTCN2021082628-appb-000211
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;
基于i、τ为常数,以及j、k、μ、
Figure PCTCN2021082628-appb-000212
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;
基于i、μ为常数,以及j、k、τ、
Figure PCTCN2021082628-appb-000213
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;
基于i、
Figure PCTCN2021082628-appb-000214
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;
基于j、k为常数,以及i、τ、μ、
Figure PCTCN2021082628-appb-000215
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;
基于j、τ为常数,以及i、k、μ、
Figure PCTCN2021082628-appb-000216
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;
基于j、μ为常数,以及i、k、τ、
Figure PCTCN2021082628-appb-000217
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;
基于j、
Figure PCTCN2021082628-appb-000218
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;
基于k、τ为常数,以及i、j、μ、
Figure PCTCN2021082628-appb-000219
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;
基于k、μ为常数,以及i、j、τ、
Figure PCTCN2021082628-appb-000220
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;
基于k、
Figure PCTCN2021082628-appb-000221
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;
基于τ、μ为常数,以及i、j、k、
Figure PCTCN2021082628-appb-000222
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;
基于τ、
Figure PCTCN2021082628-appb-000223
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;
基于μ、
Figure PCTCN2021082628-appb-000224
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。
实际应用当中,对于四维阵列进行展开,主要如下:
①当i=1、j=1时,所组成的四维阵列,如下:
Figure PCTCN2021082628-appb-000225
其中:
Figure PCTCN2021082628-appb-000226
…
②当i=i、j=j时,所组成的四维阵列,如下:
Figure PCTCN2021082628-appb-000227
其中:
Figure PCTCN2021082628-appb-000228
…
③当i=n+1、j=n+1时,所组成的四维阵列进行展开,如下:
Figure PCTCN2021082628-appb-000229
其中:
Figure PCTCN2021082628-appb-000230
其余九种情况可根据上述方法和思路,进行推导得出。
此外,基于i为常数,以及j、k、τ、μ、
Figure PCTCN2021082628-appb-000231
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:
Figure PCTCN2021082628-appb-000232
其中:
Figure PCTCN2021082628-appb-000233
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;
Figure PCTCN2021082628-appb-000234
基于j为常数,以及i、k、τ、μ、
Figure PCTCN2021082628-appb-000235
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;
基于k为常数,以及i、j、τ、μ、
Figure PCTCN2021082628-appb-000236
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;
基于τ为常数,以及i、j、k、μ、
Figure PCTCN2021082628-appb-000237
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;
基于μ为常数,以及i、j、k、τ、
Figure PCTCN2021082628-appb-000238
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;
基于
Figure PCTCN2021082628-appb-000239
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。
实际应用当中,对于五维阵列进行展开,主要如下:
①当i=1时,所组成的四维阵列,如下:
Figure PCTCN2021082628-appb-000240
其中:
Figure PCTCN2021082628-appb-000241
…
②当i=i时,所组成的四维阵列,如下:
Figure PCTCN2021082628-appb-000242
其中:
Figure PCTCN2021082628-appb-000243
…
③当i=n+1时,所组成的四维阵列进行展开,如下:
Figure PCTCN2021082628-appb-000244
其中:
Figure PCTCN2021082628-appb-000245
其余五种情况可根据上述方法和思路,进行推导得出。
以及基于i、j、k、τ、μ、
Figure PCTCN2021082628-appb-000246
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:
Figure PCTCN2021082628-appb-000247
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;
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。
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。
如下表1所示彩色纤维六维网格混色矩阵的颜色对照表。
表1
[ξ i,j,1,1,1,1] 1 2 3 4 5 6 7 8 9 10 11
1 255,0,0 232,23,0 213,43,0 196,59,0 182,73,0 170,85,0 159,96,0 150,105,0 142,113,0 134,121,0 128,128,0
2 255,0,0 230,26,0 209,46,0 191,64,0 177,78,0 164,91,0 153,102,0 143,112,0 135,120,0 128,128,0 121,134,0
3 255,0,0 227,28,0 204,51,0 185,70,0 170,85,0 157,98,0 146,109,0 136,119,0 128,128,0 120,135,0 113,142,0
4 255,0,0 223,32,0 198,57,0 179,77,0 162,93,0 149,106,0 137,118,0 128,128,0 119,136,0 112,143,0 105,150,0
5 255,0,0 219,36,0 191,64,0 170,85,0 153,102,0 139,116,0 128,128,0 118,137,0 109,146,0 102,153,0 96,159,0
6 255,0,0 213,43,0 182,73,0 159,96,0 142,113,0 128,128,0 116,139,0 106,149,0 98,157,0 91,164,0 85,170,0
7 255,0,0 204,51,0 170,85,0 146,109,0 128,128,0 113,142,0 102,153,0 93,162,0 85,170,0 78,177,0 73,182,0
8 255,0,0 191,64,0 153,102,0 128,128,0 109,146,0 96,159,0 85,170,0 77,179,0 70,185,0 64,191,0 59,196,0
9 255,0,0 170,85,0 128,128,0 102,153,0 85,170,0 73,182,0 64,191,0 57,198,0 51,204,0 46,209,0 43,213,0
10 255,0,0 128,128,0 85,170,0 64,191,0 51,204,0 43,213,0 36,219,0 32,223,0 28,227,0 26,230,0 23,232,0
11 255,255,255 0,255,0 0,255,0 0,255,0 0,255,0 0,255,0 0,255,0 0,255,0 0,255,0 0,255,0 0,255,0
如下表2所示彩色纤维六维网格混色矩阵的颜色对照表。
表2
[ξ i,j,1,1,1,2] 1 2 3 4 5 6 7 8 9 10 11
1 255,0,51 236,19,47 220,35,44 206,49,41 193,62,39 182,73,36 172,83,34 163,92,33 155,100,31 148,107,30 142,113,28
2 255,0,55 235,20,51 217,38,47 202,53,44 189,66,41 178,77,39 168,87,36 159,96,34 150,105,33 143,112,31 136,119,30
3 255,0,61 233,22,55 214,41,51 198,57,47 185,70,44 173,82,41 162,93,39 153,102,36 145,110,34 137,118,33 131,124,31
4 255,0,67 231,24,61 211,44,55 194,61,51 179,76,47 167,88,44 156,99,41 147,108,39 138,117,36 131,124,34 124,131,33
5 255,0,75 228,27,67 206,49,61 188,67,55 173,82,51 161,94,47 149,106,44 140,115,41 131,124,39 124,131,36 117,138,34
6 255,0,85 225,30,75 201,54,67 182,73,61 166,89,55 153,102,51 142,113,47 132,123,44 123,132,41 116,139,39 109,146,36
7 255,0,98 221,34,85 195,60,75 174,81,67 158,97,61 144,111,55 133,122,51 123,132,47 114,141,44 107,148,41 100,155,39
8 255,0,116 216,39,98 187,68,85 165,90,75 148,107,67 134,121,61 122,133,55 112,143,51 104,151,47 97,158,44 90,165,41
9 255,0,142 209,46,116 177,78,98 153,102,85 135,120,75 121,134,67 109,146,61 100,155,55 92,163,51 85,170,47 79,176,44
10 255,0,182 198,57,142 162,93,116 137,118,98 119,136,85 105,150,75 94,161,67 85,170,61 78,177,55 71,184,51 66,189,47
11 255,0,255 182,73,182 142,113,142 116,139,116 98,157,98 85,170,85 75,180,75 67,188,67 61,194,61 55,200,55 51,204,51
如下表3所示彩色纤维六维网格混色矩阵的颜色对照表。
表3
[ξ i,j,1,1,1,3] 1 2 3 4 5 6 7 8 9 10 11
1 255,0,85 239,16,80 225,30,75 213,43,71 201,54,67 191,64,64 182,73,61 174,81,58 166,89,55 159,96,53 153,102,51
2 255,0,91 238,17,85 223,32,80 210,45,75 198,57,71 188,67,67 179,77,64 170,85,61 162,93,58 155,100,55 149,106,53
3 255,0,98 237,18,91 221,34,85 207,48,80 195,60,75 184,71,71 174,81,67 166,89,64 158,97,61 151,104,58 144,111,55
4 255,0,106 235,20,98 219,36,91 204,51,85 191,64,80 180,75,75 170,85,71 161,94,67 153,102,64 146,109,61 139,116,58
5 255,0,116 234,21,106 216,39,98 200,55,91 187,68,85 175,80,80 165,90,75 156,99,71 148,107,67 140,115,64 134,121,61
6 255,0,128 232,23,116 213,43,106 196,59,98 182,73,91 170,85,85 159,96,80 150,105,75 142,113,71 134,121,67 128,128,64
7 255,0,142 230,26,128 209,46,116 191,64,106 177,78,98 164,91,91 153,102,85 143,112,80 135,120,75 128,128,71 121,134,67
8 255,0,159 227,28,142 204,51,128 185,70,116 170,85,106 157,98,98 146,109,91 136,119,85 128,128,80 120,135,75 113,142,71
9 255,0,182 223,32,159 198,57,142 179,77,128 162,93,116 149,106,106 137,118,98 128,128,91 119,136,85 112,143,80 105,150,75
10 255,0,213 219,36,182 191,64,159 170,85,142 153,102,128 139,116,116 128,128,106 118,137,98 109,146,91 102,153,85 96,159,80
11 255,0,255 213,43,213 182,73,182 159,96,159 142,113,142 128,128,128 116,139,116 106,149,106 98,157,98 91,164,91 85,170,85
如下表4所示彩色纤维六维网格混色矩阵的颜色对照表。
表4
[ξ i,j,5,5,5,3] 1 2 3 4 5 6 7 8 9 10 11
1 109,73,182 106,78,177 103,83,172 101,87,168 98,92,163 96,96,159 93,100,155 91,103,152 89,107,148 87,110,145 85,113,142
2 105,75,188 102,80,182 99,85,177 96,90,172 94,94,168 92,98,163 89,102,159 87,106,155 85,109,152 83,113,148 81,116,145
3 100,77,193 98,83,188 95,87,182 92,92,177 90,96,172 87,101,168 85,105,163 83,108,159 81,112,155 79,115,152 77,119,148
4 96,80,199 93,85,193 90,90,188 87,95,182 85,99,177 83,103,172 81,107,168 78,111,163 77,115,159 75,118,155 73,121,152
5 90,82,206 88,88,199 85,93,193 83,98,188 80,102,182 78,106,177 76,110,172 74,114,168 72,118,163 70,121,159 68,124,155
6 85,85,213 82,90,206 80,96,199 77,100,193 75,105,188 73,109,182 71,113,177 69,117,172 67,121,168 65,124,163 64,128,159
7 79,88,220 77,94,213 74,99,206 72,104,199 70,108,193 68,113,188 66,117,182 64,120,177 62,124,172 60,128,168 59,131,163
8 73,91,228 70,97,220 68,102,213 66,107,206 64,112,199 62,116,193 60,120,188 58,124,182 57,128,177 55,131,172 54,134,168
9 66,94,236 64,100,228 62,106,220 60,111,213 58,115,206 56,120,199 54,124,193 53,128,188 51,131,182 50,135,177 48,138,172
10 59,98,245 57,104,236 55,109,228 53,114,220 51,119,213 49,123,206 48,128,199 46,131,193 45,135,188 44,138,182 43,142,177
11 51,102,255 49,108,245 47,113,236 46,118,228 44,123,220 43,128,213 41,132,206 40,135,199 39,139,193 38,143,188 36,146,182
如下表5所示彩色纤维六维网格混色矩阵的颜色对照表。
表5
[ξ i,j,5,5,5,4] 1 2 3 4 5 6 7 8 9 10 11
1 119,68,187 116,73,182 113,77,178 110,82,173 108,86,169 105,90,165 103,94,161 100,97,158 98,101,154 96,104,151 94,107,148
2 115,70,192 112,75,187 109,79,182 107,84,178 104,88,173 101,92,169 99,96,165 97,100,161 95,103,158 92,106,154 90,110,151
3 111,72,198 108,77,192 105,82,187 103,86,182 100,90,178 98,94,173 95,98,169 93,102,165 91,106,161 89,109,158 87,112,154
4 107,74,203 104,79,198 101,84,192 99,88,187 96,93,182 94,97,178 91,101,173 89,104,169 87,108,165 85,111,161 83,115,158
5 103,76,209 100,81,203 97,86,198 94,91,192 92,95,187 89,99,182 87,103,178 85,107,173 83,111,169 81,114,165 79,117,161
6 98,78,216 95,84,209 92,89,203 90,93,198 87,98,192 85,102,187 83,106,182 81,110,178 79,113,173 77,117,169 75,120,165
7 93,81,223 90,86,216 88,91,209 85,96,203 83,101,198 80,105,192 78,109,187 76,113,182 74,116,178 72,120,173 71,123,169
8 88,84,230 85,89,223 82,94,216 80,99,209 78,103,203 75,108,198 73,112,192 71,116,187 70,119,182 68,123,178 66,126,173
9 82,86,238 79,92,230 77,97,223 75,102,216 72,107,209 70,111,203 68,115,198 66,119,192 65,122,187 63,126,182 61,129,178
10 76,89,246 73,95,238 71,100,230 69,105,223 67,110,216 65,114,209 63,118,203 61,122,198 59,126,192 58,129,187 56,132,182
11 70,93,255 67,98,246 65,104,238 63,109,230 61,113,223 59,118,216 57,122,209 55,126,203 54,129,198 52,133,192 51,136,187
如下表6所示彩色纤维六维网格混色矩阵的颜色对照表。
表6
[ξ i,j,5,5,5,5] 1 2 3 4 5 6 7 8 9 10 11
1 128,64,191 124,68,187 121,73,182 119,77,178 116,81,174 113,85,170 111,89,166 109,92,163 106,96,159 104,99,156 102,102,153
2 124,65,196 121,70,191 118,75,187 115,79,182 113,83,178 110,87,174 108,91,170 105,94,166 103,98,163 101,101,159 99,104,156
3 121,67,201 118,72,196 115,77,191 112,81,187 109,85,182 107,89,178 104,93,174 102,96,170 100,100,166 98,103,163 96,106,159
4 117,69,207 114,74,201 111,78,196 108,83,191 106,87,187 103,91,182 101,95,178 99,99,174 96,102,170 94,105,166 92,109,163
5 113,71,213 110,76,207 107,81,201 105,85,196 102,89,191 100,93,187 97,97,182 95,101,178 93,104,174 91,108,170 89,111,166
6 109,73,219 106,78,213 103,83,207 101,87,201 98,92,196 96,96,191 93,100,187 91,103,182 89,107,178 87,110,174 85,113,170
7 105,75,225 102,80,219 99,85,213 96,90,207 94,94,201 92,98,196 89,102,191 87,106,187 85,109,182 83,113,178 81,116,174
8 100,77,232 98,83,225 95,87,219 92,92,213 90,96,207 87,101,201 85,105,196 83,108,191 81,112,187 79,115,182 77,119,178
9 96,80,239 93,85,232 90,90,225 87,95,219 85,99,213 83,103,207 81,107,201 78,111,196 77,115,191 75,118,187 73,121,182
10 90,82,247 88,88,239 85,93,232 83,98,225 80,102,219 78,106,213 76,110,207 74,114,201 72,118,196 70,121,191 68,124,187
11 85,85,255 82,90,247 80,96,239 77,100,232 75,105,225 73,109,219 71,113,213 69,117,207 67,121,201 65,124,196 64,128,191
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。

Claims (10)

  1. 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:
    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;
    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
    Figure PCTCN2021082628-appb-100001
    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
    Figure PCTCN2021082628-appb-100002
    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;
    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
    Figure PCTCN2021082628-appb-100003
    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;
    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
    Figure PCTCN2021082628-appb-100004
    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;
    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
    Figure PCTCN2021082628-appb-100005
    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;
    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
    Figure PCTCN2021082628-appb-100006
    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;
    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;
    Figure PCTCN2021082628-appb-100007
    Figure PCTCN2021082628-appb-100008
    Figure PCTCN2021082628-appb-100009
    Figure PCTCN2021082628-appb-100010
    Figure PCTCN2021082628-appb-100011
    Figure PCTCN2021082628-appb-100012
    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;
    Figure PCTCN2021082628-appb-100013
    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;
    Figure PCTCN2021082628-appb-100014
    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;
    Figure PCTCN2021082628-appb-100015
    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:
    Figure PCTCN2021082628-appb-100016
    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;
    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:
    Figure PCTCN2021082628-appb-100017
    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;
    Figure PCTCN2021082628-appb-100018
  2. 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
    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:
    Figure PCTCN2021082628-appb-100019
  3. 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,
    Figure PCTCN2021082628-appb-100020
    构建零维矩阵如下:
    M 1,1=[ξ i,j,k,τ,μ,θ]。
  4. 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;
    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:
    Figure PCTCN2021082628-appb-100021
    基于i、j、k、τ、
    Figure PCTCN2021082628-appb-100022
    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:
    Figure PCTCN2021082628-appb-100023
    基于i、j、k、μ、
    Figure PCTCN2021082628-appb-100024
    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:
    Figure PCTCN2021082628-appb-100025
    基于i、j、τ、μ、
    Figure PCTCN2021082628-appb-100026
    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:
    Figure PCTCN2021082628-appb-100027
    基于i、k、τ、μ、
    Figure PCTCN2021082628-appb-100028
    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:
    Figure PCTCN2021082628-appb-100029
    基于j、k、τ、μ、
    Figure PCTCN2021082628-appb-100030
    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:
    Figure PCTCN2021082628-appb-100031
  5. 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;
    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:
    Figure PCTCN2021082628-appb-100032
    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:
    Figure PCTCN2021082628-appb-100033
    基于i、j、k、
    Figure PCTCN2021082628-appb-100034
    为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
    Figure PCTCN2021082628-appb-100035
    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:
    Figure PCTCN2021082628-appb-100036
    基于i、j、τ、
    Figure PCTCN2021082628-appb-100037
    为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
    Figure PCTCN2021082628-appb-100038
    基于i、j、μ、
    Figure PCTCN2021082628-appb-100039
    为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
    Figure PCTCN2021082628-appb-100040
    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:
    Figure PCTCN2021082628-appb-100041
    基于i、k、τ、
    Figure PCTCN2021082628-appb-100042
    为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
    Figure PCTCN2021082628-appb-100043
    基于i、k、μ、
    Figure PCTCN2021082628-appb-100044
    为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
    Figure PCTCN2021082628-appb-100045
    基于i、τ、μ、
    Figure PCTCN2021082628-appb-100046
    为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
    Figure PCTCN2021082628-appb-100047
    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:
    Figure PCTCN2021082628-appb-100048
    基于j、k、τ、
    Figure PCTCN2021082628-appb-100049
    为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
    Figure PCTCN2021082628-appb-100050
    基于j、k、μ、
    Figure PCTCN2021082628-appb-100051
    为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
    Figure PCTCN2021082628-appb-100052
    基于j、τ、μ、
    Figure PCTCN2021082628-appb-100053
    为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
    Figure PCTCN2021082628-appb-100054
    基于k、τ、μ、
    Figure PCTCN2021082628-appb-100055
    为常数,构建(n+1) 4个(n+1)行(n+1)列二维颜色阵列如下:
    Figure PCTCN2021082628-appb-100056
  6. 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;
    其中,基于i、j、k为常数,以及τ、μ、
    Figure PCTCN2021082628-appb-100057
    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;
    基于i、j、τ为常数,以及k、μ、
    Figure PCTCN2021082628-appb-100058
    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;
    基于i、j、μ为常数,以及k、τ、
    Figure PCTCN2021082628-appb-100059
    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;
    基于i、j、
    Figure PCTCN2021082628-appb-100060
    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;
    基于i、k、τ为常数,以及j、μ、
    Figure PCTCN2021082628-appb-100061
    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;
    基于i、k、μ为常数,以及j、τ、
    Figure PCTCN2021082628-appb-100062
    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;
    基于i、k、
    Figure PCTCN2021082628-appb-100063
    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;
    基于i、τ、μ为常数,以及j、k、
    Figure PCTCN2021082628-appb-100064
    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;
    基于i、τ、
    Figure PCTCN2021082628-appb-100065
    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;
    基于i、μ、
    Figure PCTCN2021082628-appb-100066
    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;
    基于j、k、τ为常数,以及i、μ、
    Figure PCTCN2021082628-appb-100067
    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;
    基于j、k、μ为常数,以及i、τ、
    Figure PCTCN2021082628-appb-100068
    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;
    基于j、k、
    Figure PCTCN2021082628-appb-100069
    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;
    基于j、τ、μ为常数,以及i、k、
    Figure PCTCN2021082628-appb-100070
    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;
    基于j、τ、
    Figure PCTCN2021082628-appb-100071
    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;
    基于j、μ、
    Figure PCTCN2021082628-appb-100072
    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;
    基于k、τ、μ为常数,以及i、j、
    Figure PCTCN2021082628-appb-100073
    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;
    基于k、τ、
    Figure PCTCN2021082628-appb-100074
    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;
    基于k、μ、
    Figure PCTCN2021082628-appb-100075
    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;
    基于τ、μ、
    Figure PCTCN2021082628-appb-100076
    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。
  7. 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;
    其中,基于i、j为常数,以及k、τ、μ、
    Figure PCTCN2021082628-appb-100077
    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;
    基于i、k为常数,以及j、τ、μ、
    Figure PCTCN2021082628-appb-100078
    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;
    基于i、τ为常数,以及j、k、μ、
    Figure PCTCN2021082628-appb-100079
    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;
    基于i、μ为常数,以及j、k、τ、
    Figure PCTCN2021082628-appb-100080
    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;
    基于i、
    Figure PCTCN2021082628-appb-100081
    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;
    基于j、k为常数,以及i、τ、μ、
    Figure PCTCN2021082628-appb-100082
    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;
    基于j、τ为常数,以及i、k、μ、
    Figure PCTCN2021082628-appb-100083
    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;
    基于j、μ为常数,以及i、k、τ、
    Figure PCTCN2021082628-appb-100084
    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;
    基于j、
    Figure PCTCN2021082628-appb-100085
    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;
    基于k、τ为常数,以及i、j、μ、
    Figure PCTCN2021082628-appb-100086
    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;
    基于k、μ为常数,以及i、j、τ、
    Figure PCTCN2021082628-appb-100087
    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;
    基于k、
    Figure PCTCN2021082628-appb-100088
    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;
    基于τ、μ为常数,以及i、j、k、
    Figure PCTCN2021082628-appb-100089
    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;
    基于τ、
    Figure PCTCN2021082628-appb-100090
    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;
    基于μ、
    Figure PCTCN2021082628-appb-100091
    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。
  8. 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;
    其中,基于i为常数,以及j、k、τ、μ、
    Figure PCTCN2021082628-appb-100092
    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;
    基于j为常数,以及i、k、τ、μ、
    Figure PCTCN2021082628-appb-100093
    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;
    基于k为常数,以及i、j、τ、μ、
    Figure PCTCN2021082628-appb-100094
    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;
    基于τ为常数,以及i、j、k、μ、
    Figure PCTCN2021082628-appb-100095
    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;
    基于μ为常数,以及i、j、k、τ、
    Figure PCTCN2021082628-appb-100096
    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;
    基于
    Figure PCTCN2021082628-appb-100097
    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。
  9. 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、
    Figure PCTCN2021082628-appb-100098
    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。
  10. 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;
    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。
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