点集序列与分形构造(Ⅰ)  

On Generating of Point Set Sequences and Constructing of Fractals (Ⅰ)

作　　者：齐东旭[1] 戈建涛[1] 

机构地区：[1]北方工业大学CAD研究中心,北京石景山100041

出　　处：《北方工业大学学报》1993年第3期1-13,共13页Journal of North China University of Technology

基　　金：国家自然科学基金资助项目

摘　　要：研究了点集序列迭代生成的计算机算法,强调非规则几何对象与规则几何对象造型格式的统一.分析了四点格式对分形构造的应用;设计一类新的两点格式,丰富了复平面上分形集构造的理论内容.In this paper, by using iterative procedure, the authors investigate generation of point set sequences for the algorithm, especially the integration of irregular geometric models with regular ones . Some applications for constructing fractals with 4 -point scheme are analized. A kind of new 2 - point scheme is designed, which enriches the theory of constructing fractal sets on the complex plane .

关 键 词：点集 迭代 分形 调配函数 计算几何 

分 类 号：O24[理学—计算数学]