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IFS在分形图形构造中的应用研究
引用本文:覃凤清,何小海.IFS在分形图形构造中的应用研究[J].郑州轻工业学院学报(自然科学版),2007,22(4):126-128,136.
作者姓名:覃凤清  何小海
作者单位:1. 宜宾学院,计算机系,四川,宜宾,644007;四川大学,电子信息学院,四川,成都,610065
2. 四川大学,电子信息学院,四川,成都,610065
摘    要:在研究迭代函数系统IFS相关理论的基础上,通过Visual C 编程,采用多重缩小机制(MRCM)和随机迭代算法,分别对Sierpinskey直角三角形和蕨类植物进行构造与模拟,为分形图形的计算机模拟提供了简单实用的构图方法.计算机模拟结果表明,使用该方法能够以所希望的精度去逼近分形图形.

关 键 词:迭代函数系统  分形图形  压缩仿射变换  不动点
文章编号:1004-1478(2007)04-0126-03
收稿时间:2007-04-11
修稿时间:2007-04-11

Research on the application of IFS in fractal image construction
QIN Feng-qing,HE Xiao-hai.Research on the application of IFS in fractal image construction[J].Journal of Zhengzhou Institute of Light Industry(Natural Science),2007,22(4):126-128,136.
Authors:QIN Feng-qing  HE Xiao-hai
Affiliation:1. Dept. of Comp. , Yibin Univ. , Yibin 644007, China ; 2. School of Electr. and Infor. , Sichuan Univ. , Chengdu 610065, China
Abstract:Based on the research of the iterated function system(IFS) related theory,programming with Visual C ,adopting the multipe reduction copying machine(MRCM) and random iterative algorithms,Sierpinskey right-angled triangles and ferns were constructed and simulated respectively.It provided a simple and practical approach for the simulation of fractal images.The simulated results showed that it was possible to approximate fractal images with desired precision by the use of the algorithms.
Keywords:iterated function system  fractal image  contractive affine transform  fixed point
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