摘 要：在分形集合的产生与发展中，计算机模拟是探讨与研究分形的非常有效的工具，在分形的应用领域中更离不开计算机。通过理论联系实际学习与掌握分形，可以使我们较快地进入分形的科学殿堂，在各自的专业领域中应用分形并取得进展。
本文主要完成了以下工作
⑴ 典型的分形曲线和分形集
⑵ 迭代函数系统
⑶ 文法构图算法
⑷ 逃逸时间算法
本文还阐述了分形几何及其应用，着重从计算机图形图像的角度来介绍分形理论、方法，以及用计算机生成分形图像的算法。
关 键 词：Matlab; IFS; LS; 逃逸时间
Demonstration System of Fractal’s Computing Visualization
Abstract: In the procession of the investigation of fractal set, computer simulation is a very important tool. And it can not work without computer. We can enter the palace of the science of fractal from combining practice and theory. And then we can use fractal in personal specialty.
The following items are considered:
(1) Typical fractal curve
(2) Iteration Function System
(3) All algorithms of grammar
(4) Escape time algorithms
Also, computer is necessary for the application of fractal. The main aim of the paper is to explore fractal geometry and the application.
Key words: Matlab; IFS; LS; Escape time
