摘要
迭代函数系统(IFS)是构造分形图的典型方法,基于仿射变换利用参数调整来生成IFS分形图是常见的一种方法,如何建立适当的参数模型是问题的关键。虽然目前已经有多种参数算法,但如何克服参数选取的随意性及分形造型的不可预知性问题还有待于深入的研究。本文建立了具有几何直观意义的外部参数模型,通过引入外部参数间接调控原迭代函数系统中的内部参数,产生新的迭代函数系统,使得能够按照一定的图形设计规则控制分形图的演化。实验结果表明,利用该算法能直观有效地获得大量形态各异的分形图。
It has been known that Iterated Function System is a personification methods to produce fractal image, and to form IFS＇ s fractal image by parameters adjustment on the basic of affined map is a usual method. The key is to establish proper parameter models. At present, we have lots of parameter algorithms, but more work need to be done to get over the random of parameters selection and unpredictability of fractals shape. This paper establishes models with exterior parameters of geometry intuitionalism. We adjust indirectly interior parameters of original IFS by introducing exterior parameters which it produces a new IFS, and enables us to control the fractal evolvement under rules certain of designs. Experimental results show that fractal images with different configurations can be obtained intuitively and effectively by this algorithm.
出处
《中国图象图形学报》
CSCD
北大核心
2005年第8期1059-1063,共5页
Journal of Image and Graphics
基金
福建省教育厅科研项目(JB03279)
关键词
迭代函数系统
仿射变换
分形图
不动点
iterated funtion systems, affine transformation, fractal image, immovability point
