摘要
研究在分形图形的生成过程中如何对分形参数施加随机性影响 对两类典型随机分形集模型———统计自相似集和统计自仿射集进行了探讨 ;对几种典型分形集进行了分析和计算机模拟 对分形图形的两种主要生成方法———L系统和迭代函数系统 (IFS)进行分析 ,并利用L系统和迭代函数系统分别生成了几种经典分形集和具有分形性质的植物的平面图形 ;对如何生成符合要求的随机序列进行了研究 。
It is studied that how to bring stochastic effect on fractal parameters in fractal image generation. Then two models of typical random fractal sets, that is statistically self similar fractals and statistically self affine fractals, are discussed. Several typical fractal sets are analyzed and simulated with computer. Two main formation ways of fractal image generation are analyzed, that is L system and Iterative Function System(IFS). It studied how to generate random series up to the requirement, at the same time, some protean botanic images were formed.
出处
《山东大学学报（工学版）》
CAS
2002年第4期358-363,共6页
Journal of Shandong University（Engineering Science）
基金
山东省自然科学基金 (Y98G0 61 0 2 )资助
