摘要
文中提出用复映射ｚ←ｅｉπ２ ｚｗ ＋ ｃ（ｗ ＝ α＋ ｉβ，α，β∈Ｒ１ ）在动力平面和参数平面上构造上半平面、方极限和圆极限分形图的简便方法．“周期化”动力平面或参数平面，确定基本计算区域，应用同胚仿射变换将基本计算区域自相似地映射到上半平面，进而构造方极限和圆极限分形图．通过指数ｗ 及参数ｃ的变化，应用逃逸时间算法，大量构造复映射ｚ←ｅｉπ２ ｚｗ ＋ ｃ在动力平面和参数平面上的周期形式、上半平面形式。
In this paper, a new simple method is presented. Owing to this method, the fractal images of the upper half plane, the square limit and the circle limit in the dynamic plane and the parameter plane are constructed from the complex mapping z ←e iπ2 z\+w +c(w=α+ i β,α,β∈R\+1) . The dynamic plane and the parameter plane are treated by means of periodization. The fundamental compute region B is determined and self\|similarly mapped into the upper half plane by using the homeomorphic affine transformation θ , so the fractal images of the upper half plane, square limit, and circle limit can be constructed. A great variety of these kinds of the J and M fractal artistic patterns from the complex mapping z ←e iπ2 z\+w +c can be created with the method presented.
出处
《计算机研究与发展》
EI
CSCD
北大核心
2000年第2期213-217,共5页
Journal of Computer Research and Development
基金
1999 年国家自然科学基金项目!(项目编号69973033)
1998 年辽宁省自然科学基金项目!(项目编号9810200106)
