A Computer Generation Method of Garment Fractal Pattern Based on Nonlinear Derivative Iteration

A nonlinear and iterative technology, applied in the field of computer generation of clothing fractal patterns based on nonlinear derivative iteration, can solve the problems of no outstanding improvement in the convergence of iterative algorithms and single fractal graphics, and achieve novel patterns, accelerated generation efficiency, and improved convergence The effect of the characteristic

Active Publication Date: 2019-05-21
LUDONG UNIVERSITY
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Problems solved by technology

[0004] However, the above improved methods are mainly based on the derivative approximate calculation method in the Newton tangent method, or based on the improvement of the convergence speed, and the basic iterative form is not much different from the Newton iterative method.
Moreover, there is no significant improvement on the convergence of the iterative algorithm, so the fractal graphics generated by the above algorithm are relatively simple.

Method used

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  • A Computer Generation Method of Garment Fractal Pattern Based on Nonlinear Derivative Iteration
  • A Computer Generation Method of Garment Fractal Pattern Based on Nonlinear Derivative Iteration
  • A Computer Generation Method of Garment Fractal Pattern Based on Nonlinear Derivative Iteration

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Embodiment Construction

[0028] The present invention will be described in detail below in conjunction with the accompanying drawings and specific embodiments.

[0029] In order to make the object, technical solution and advantages of the present invention clearer, the present invention will be further described in detail below in conjunction with specific examples. A method for automatic computer generation of clothing fractal patterns based on nonlinear derivative iteration, such as figure 1 shown, including the following steps:

[0030] Step 1: Select an iterative function, denoted as F(z), and obtain its derivative, denoted as F'(z);

[0031] If choose F(z)=z 5 +1, then F'(z)=5z 4 .

[0032] Step 2: Set the softening factor ε and iteration rate adjustment factor k of the softening function;

[0033] In the present invention, an iterative method based on a nonlinear derivative function is proposed as follows:

[0034]

[0035] If k=1.2 and ε=0.8 can be selected for iterative simulation, th...

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Abstract

The invention discloses a computer-generated method for fractal patterns of clothes based on non-linear derivative iterations. The method comprises following steps: step 1, selecting an iterated function, and labeling it as F(z) and solving a derivative and labeling it as F'(z); step 2, selecting the iterated mode and setting a gentle factor and an iteration speed adjusting factor; step 3, preparing iterations; step 4, utilizing the iteration formula in the step 2 to calculate main iterations for fractal patterns and calculating differences of two adjacent iteration results and setting error limit; step 5, totally circulating all represented colored drawings in windows and searching for effect of pattern generation; step 6, obtaining different answers by selecting different iteration functions and applying them to clothes design. The computer-generated method for fractal patterns of clothes based on non-linear derivative iterations has following beneficial effects: by guiding the non-linear derivative function to replace a conventional Newton iteration function, rich and colorful iterated fractal patterns are generated by adjusting the iteration speed adjusting factor and the gentle factor in the gentle function and applied to clothes design.

Description

technical field [0001] The invention belongs to the field of computer fractal graphics and clothing pattern design, in particular to a computer-generated method for clothing fractal patterns based on nonlinear derivative iteration. Background technique [0002] At present, there are many methods for generating fractal graphics. In addition to the classic Mandelbrot set and Julia set methods, the Newton iteration method is also a widely used method. [0003] In recent years, many people have conducted more in-depth research on Newton's iterative method. These researches have two main purposes. The first is to improve the convergence speed, and the second is to make the calculation easier. At present, the main improvement methods are as follows: such as modified Newton iterative method, chord intercept method, iterative method based on parabolic difference polynomial, extended Newton iterative method using second-order Taylor expansion, and average Newton method and midpoint N...

Claims

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Application Information

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Patent Type & AuthorityPatents(China)
IPC IPC(8): G06F17/50
CPCG06F30/367
Inventor龙真潘长鹏雷军委
OwnerLUDONG UNIVERSITY