三维非线性IFS分形的可视化问题研究  

THE RESEARCH ON FRACTAL VISUALIZATION WITH NONLINEAR ITERATED FUNCTION SYSTEMS(IFS) IN 3D

作　　者：魏小鹏[1] 贺欣[1] Wang Jun 

机构地区：[1]大连大学 [2]澳大利亚昆士兰理工大学

出　　处：《工程图学学报》2000年第1期80-86,共7页Journal of Engineering Graphics

基　　金：国家自然科学基金

摘　　要：研究非线性ＩＦＳ（迭代函数系统）分形结构的可视化问题，利用计算分形吸引子的三维非线性确定性算法，给出了一个简单而行之有效的计算光线与分形体表面交点和交点处法矢的技术，对生成三维真实感分形图形具有重要意义。Theoretically, any fractal object can be constructed by IFS. The research of it's visualisation has become up front in many concerning scientific sections, especially, it needs further research for the 3D visualization of nonlinear IFS with real sense. In this article, the process of fractal generation is discussed from mathematical aspect and a method for computing intersect between light ray and fractal surface and the normal in the intersection will be presented. Because of it's simplicity and effectiveness, the method makes the application of existed techniques, such as ray tracing method, on traditional geometry visualization with real sense become available.

关 键 词：分形吸引子 IFS 迭代函数系统 可视化 非线性 

分 类 号：O18[理学—数学] TP391.41[理学—基础数学]