基于3-D IFS理论的自然景观模拟

1 引言数学家Mandelbrot在20世纪70年代所提出的分形几何,给出一种描述具有随机形态特征及无穷细节的自然现象的全新的数学工具。此后,以Hutchinson和Barnsley等的工作为基础,人们注意到许多分形集都可以用IFS递归构造出来,并可以用来逼近任意现实对象,可见分形技术是计算机真实感几何造型方面十分活跃且有效的方法和手段。

Simulation of Natural Scene Based on 3-D IFS Theory

This article elaborates the theory of Iterated Function System (IFS)and gives the stochastic algorithm and the deterministic algorithm with which to construct IFS attractor. Based on the technique of coloring, lighting, shadow and mist in computer graphics, the authors construct a series of 3 dimension IFS (3-D IFS)characterized with the feature of natural scene on computer. The changing rules of the 3-D IFS are also discussed when the parameters mentioned above are changed.