Generation method of printed fabric patterns based on generalized Mandelbrot set

A generalized, printing technology, applied in special data processing applications, instruments, electrical digital data processing, etc., can solve problems such as inability to meet textile pattern design requirements and limited style changes

Inactive Publication Date: 2012-02-22
SUZHOU UNIV
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  • Summary
  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

The image provided by the prior art has very limited style changes...

Method used

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  • Generation method of printed fabric patterns based on generalized Mandelbrot set
  • Generation method of printed fabric patterns based on generalized Mandelbrot set
  • Generation method of printed fabric patterns based on generalized Mandelbrot set

Examples

Experimental program
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Embodiment 1

[0037] 1. According to the composition principle of the Mandelbrot set, construct the fractal diagram

[0038] The Mandelbrot set (M set for short) fractal image is the most famous fractal image in the fractal field. In the complex plane, it is iterated by Generated, where z is the iteration variable, c is the iteration constant, n is the number of iterations; both z and c are complex numbers, recorded as:

[0039] z=x+iy

[0040] c=p+iq;

[0041] from z n to z n+1 The iterative process of

[0042] x n + 1 = x n 2 - y n 2 + p , is the real part,

[0043] the y n+1 =2x n the y n +q, is the imaginary part;

[0044] In the iterative process of the M set, let the initial iteration value z 0 = 0, that is, z 0 =0+i·0; make c change regular...

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PUM

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Abstract

The invention relates to a generation method of patterns being used for printed fabric and having fractal textures, and in particular relates to a generation method of printed fabric patterns based on generalized Mandelbrot set. According to a complex variable function theory, a spinning pattern is designed by adopting methods of copying, rotating, splicing and the like through constructing a generalized Mandelbrot set-based fractal graph and local detail graphs thereof as basic elements by using computer programming, and then is directly transferred to the fabric by an electronic inkjet printing machine or subjected to color separation by adopting CAD (computer aided design) software for carrying out plate-making printing to obtain the printed fabric with the fractal textures. The invention provides an iteration function and a real part and imaginary part separation method. Through changing arrangement of parameters and color values in an iteration formula, an image amplification region, amplification factors and the like, images with different styles are obtained, and innumerable and changeful image series can be conveniently and rapidly obtained, thus rapid design of the printed pattern is realized.

Description

technical field [0001] The invention relates to a pattern design method for printed fabrics with fractal texture, in particular to a pattern design method for printed fabrics based on generalized Mandelbrot sets. Background technique [0002] Textiles are a combination of artistry and technology, with good decorative effects and high added value. Textiles can integrate art into people's daily life in the most common way, that is, expressing artistic graphics with fabric patterns. In the design of printed fabrics, pattern design is very important. It is the first process of production, the foundation of aesthetics, and an important link to improve the quality of printed fabrics. Pattern design is the key to textile design. [0003] Textile art creation is nothing more than designers looking for creative themes in nature and human society, reflecting the beautiful things in nature and human social life through fabric patterns, reflecting people's appreciation of the trend of ...

Claims

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Application Information

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IPC IPC(8): G06F17/50
Inventor 杨旭红蒋孝锋
Owner SUZHOU UNIV
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