具有周期性的分形图象及其生成算法

FRACTAL IMAGE WITH PERIODICITY AND ITS ALGORITHMS

对非规则对象的设计,用计算机生成的具有周期性分形图象方法进行了研究。为使其具有周期性,以二次变换及其可视化作了探讨,通过引入周期函数获得按一定规律复现的一组分形图象,并对所得的结果作了分析与讨论,认为周期性是人类使用的图案的特征之一。能反映图案的生成是可控且可被复制的,在图案及花纹设计中具有实用意义。

This paper reports the work about the mapping of quadraic equation in the complex z-plane.It is widely studied following the observations of Mandelbrot.For the quadratic mapping,the vi-sualization on fractal image with periodicity is investigated with periodic function in the iternationprocess.The illustrations are chosen as an example of this algorithm.This work was supported by National Science Fundations P.R.China.