基于Mandlebrot集的分形图形用于丝绸图案设计

Application of fractal graphs in silk pattern design based on Mandelbrot set

阐述了复平面上Mandlebrot集的生成方法,设计了基于Matlab相关程序,总结出不同参数下Mandlebrot集分形图形的变化规律,找出了图形结构与函数的基本关系,并运用图像处理软件XFader得到连续图案,在此基础上与法国力克的服装设计软件PrimaVision相结合,将生成的分形图形应用到丝绸图案设计中。

This paper described the generation method of Mandelbrot set, and designed the programs based on Matlab. Then, the variation about the fractal graphs of Mandelbrot set in different parameters is studied, the relationships between basic pattern and function are founded. Then the image processing software XFader is used to get some continuous patterns, and the renderings are given after the treatment of clothing design software PrimaVision, applications of fractals in silk pattern design are discussed lastly.