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Color rendering method and device for fractal pattern

A pattern and fractal technology, applied in image analysis, image data processing, instruments, etc., can solve the problem of lack of color expression elements, achieve the effect of simple method and overcome limitations

Inactive Publication Date: 2017-11-17
NINGDE NORMAL UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

However, the IFS method only considers the fractal shape and lacks color expression elements

Method used

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  • Color rendering method and device for fractal pattern
  • Color rendering method and device for fractal pattern
  • Color rendering method and device for fractal pattern

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Experimental program
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Effect test

Embodiment 1

[0046] see figure 1 , embodiment 1, a kind of color rendering method of fractal pattern, comprises the following steps:

[0047] Step S110: Get the N affine transformations ω of the IFS system through the hidden Markov chain i Composing the family of affine transformations {X; ω 1 ,ω 2 ,…,ω N}, and set up the transition probability matrix P=(p ij ) N×N ,1≤i, j≤N.

[0048] Hidden Markov chain value N affine transformation ω of IFS system i The set of states composed of {X; ω 1 ,ω 2 ,…,ω N}, the observable sequence takes the value of the affine transformation point ω i (x), the observation result of x∈X(i=1,2,…,N). Let P=(p ij ) N×N , 1≤i, j≤N is the state transition probability matrix of the hidden Markov chain, and its element p ij represents the slave state ω i transition to state ω j The transition probability of , have: pij =P(S n = ω j |S n-1 = ω i ),1≤i,j≤N, satisfy

[0049] Step S120: Set the color value matrix (c jk ) N×M and the color probabili...

Embodiment 2

[0064] see figure 2 , another embodiment 2, a color rendering method of a fractal pattern, comprising the following steps:

[0065] Step S210: Obtain N affine transformations ω of the IFS system through the hidden Markov chain i Composing the family of affine transformations {X; ω 1 ,ω 2 ,…,ω N}, and set up the transition probability matrix P=(p ij ) N×N ,1≤i, j≤N.

[0066] Step S220: From the affine transformation family {X; ω 1 ,ω 2 ,…,ω N}, select some affine transformations, and decompose step by step according to the conversion formula to obtain sub-decoding

[0067] Step S230: Set the color value matrix (c jk ) N×M and the color probability matrix (q jk ) N×M ;

[0068] Step S240: Decoding according to the fraction Build a color model for each subimage

[0069] Step S250: According to transition probability matrix P=(p ij ) N×N ,1≤i,j≤N from the color model Randomly select an affine transformation in , and calculate the coordinates of the affine...

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Abstract

The invention relates to a rendering method and device for a fractal pattern. The color rendering method and device for a fractal pattern combine an iteration function system theory with a hidden Markov model to see a color of the fractal pattern as an observable outer representation which is determined by a series of unobservable states. A Markov sequence is utilized to control a color change of the fractal pattern and the color control of the fractal pattern is realized. The color rendering method is simple, overcomes a limitation of a traditional iteration function, establishes a more flexible and practical random model, performs perturbation on a traditional probability matrix to realize pattern color arbitrary regulation and control through designing a coloring rule during a pattern drawing process and can fast generate a big quantity of fractal artistic patterns rich in color changing.

Description

technical field [0001] The invention relates to the technical field of fractal patterns, in particular to a color rendering method and device for fractal patterns. Background technique [0002] As an emerging interdisciplinary subject, fractal meets the diversified needs of art, and fractal patterns integrate geometric aesthetics and visual form. Using its unique self-similarity, fractal geometry can construct ever-changing artistic patterns with arbitrary high resolution. Fractal art is the fusion point of art and science, and the perfect unity of mathematics and artistic aesthetics. It is a figure with scientific connotation and aesthetic appeal generated by computer numerical calculation. The changeability, chance and non-repetition of fractal patterns The nature makes the application of fractal art more and more extensive. [0003] Iterated Function System (IFS) is a classic fractal pattern generation technology, which can generate rich and varied fractal patterns. Its...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06T7/90
CPCG06T7/90
Inventor 章立亮
Owner NINGDE NORMAL UNIV
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