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吸引子在迭代系统中的作用
引用本文:林贻侠,朱铨范,仲明瑜,刘煜.吸引子在迭代系统中的作用[J].上海大学学报(自然科学版),1999,5(1):49-53.
作者姓名:林贻侠  朱铨范  仲明瑜  刘煜
作者单位:上海大学自动化学院
摘    要:本文主要讨论吸引子在函数迭代系统(IFS)构成分形图中所起的作用.讨论了吸引子与IFS中伴随概率的关系,伴随概率可以调节各吸引子所起作用的强弱;着重讨论了吸引子在分形图平移变换和比例变换中的作用,提出了分形图平移变换和比例变换的准则以及相应的计算步骤;并用实例演示了平移变换和比例变换的方法及其正确性

关 键 词:分形  吸引子  迭代函数系统
修稿时间:1998-02-10

Actions of the Attractors in Iterated Function Systems
Lin Yixia,Zhu Quanfan,Zhong Mingyu,Liu Yu.Actions of the Attractors in Iterated Function Systems[J].Journal of Shanghai University(Natural Science),1999,5(1):49-53.
Authors:Lin Yixia  Zhu Quanfan  Zhong Mingyu  Liu Yu
Abstract:The actions of the attractors in the fractal drawing with iterated function system are developed in this paper. The relation of the accompanied probability and the attractor in IFS is discussed. The action intensity of the attractor is controlled by the accompany probability. Translation criterion and proportion transform criterion is provided, by which the correlative calculus method is described at the same time. The correctness is verified and the steps of the translation and proportion transform are demonstrated by examples.
Keywords:fractal  attractor  iterated    function system
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