基于Visual LISP的分形自相似图形造型算法与实现

Algorithm and Implementation of Self-similar Modeling in Fractal Geometry Based on Visual LISP

分形几何学是目前研究的一个热点,其中的自相似图形可以模拟自然界中的一些现象。该文提出了利用AutoCAD强大的绘图功能,根据它的独有的、"先画先存"的、表存储结构的图形数据库的特点,在VisualLISP开发环境中,用LISP函数实现典型分形几何中典型自相似图形的造型算法,同时设计出与它对应的自定义菜单,实现在AutoCAD中对分形几何自相似图形的仿真。可以将这种方法应用于教学、科研中的几何分析与图形演示等场合。

In fractal geometry, as a hot research area, self-similar graphs can simulate some of natural phenomena. According to the powerful drafting functions in AutoCAD which has unique database features of 'drafting-first saving-first' and list construction, in its own Visual LISP IDE, we design LISP functions and self-defined menus, and implement some typical algorithms of self-similar modeling in fractal geometry. This method can be used in lectures or geographic analysis for graphical demonstration.