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一类全不连通分形图的构造

章立亮1(宁德师范高等专科学校数学系,福建宁德 352100)

摘 要
为构造一类全不连通的分形图,利用了适当的类康托集,将某一迭代函数系统升腾为高维空间上的升腾迭代函数系统,并通过参数调整构造出大量造型上全不连通的分形图,同时发现了类康托集的结构和分形图的结构之间的变化关系,实验结果表明,该方法简单易用.
关键词
Making of the Totally Disconnected Fractal Graphics

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Abstract
It makes a totally disconnected fractal image.The method for getting the IFS code from fractal image using the IFS code to draw the fractal image based on Iteration Function System are discussed.Traditional fractal method has been applied to the simulation of natural scenery.This paper attaches importance to the improvement of traditional fractal modeling.A iterated function systems is lifted liter iterated function systems to use similarity cantor rally and using the method of adjustment parameter make a large amount of fractal image totally disconnected and the relation is found the similarity cantor rally and the fractal image.It uses varying parameter for getting a large amount of fractal image.A simple image technique is given for computer simulation of the fractal image.The experimental result is shown to demonstrate that the model is simple and valid.I has been known that Iteration Function System is a very important method for generating fractal images.It show that Iteration Function System is also an effective way to generate ordinary planar curves.
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