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迭代函数系统的运算性质
引用本文:刘树群,王春燕.迭代函数系统的运算性质[J].甘肃科学学报,2010,22(2):20-24.
作者姓名:刘树群  王春燕
作者单位:1. 兰州理工大学,计算机与通信学院,甘肃,兰州,730050
2. 兰州理工大学,理学院,甘肃,兰州,730050
摘    要:根据迭代函数系统(IFS)吸引子生成原理,研究了具有明显几何和代数含义的IFS加法、直积、复合积和相似运算性质.通过定义IFS各种运算,认识到一些IFS吸引子之间的关系,在已知IFS的基础之上构造出更多的分形图,模拟了自然界中的物体.

关 键 词:迭代函数系统  吸引子  IFS运算

perating Properties of Iteration Function System
LIU Shu-qun,WANG Chun-yan.perating Properties of Iteration Function System[J].Journal of Gansu Sciences,2010,22(2):20-24.
Authors:LIU Shu-qun  WANG Chun-yan
Institution:1.School of Computer and Communicationa,School of Scienceb,Lanzhou University of Science and Technology ,Lanzhou 730050,China)
Abstract:The IFS addition ,direct product,compound product and similar operating properties are studied,which have obvious geometric and algebraic meanings.It is based on the theory of IFS attractor generating principles.We can recognize the relations between IFS attractors,and construct more fractals to simulate natural objects,based on known IFS by means of defining various mathematical operations.
Keywords:iteration function system  attractor  IFS operation
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