| IFS中仿射变换的确定 |
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| 引用本文： | 张亦舜,杨扬.IFS中仿射变换的确定[J].北京科技大学学报,2002,24(5):578-580. |
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| 作者姓名： | 张亦舜 杨扬 |
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| 作者单位： | 北京科技大学信息工程学院,北京,100083 |
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| 摘 要： | 针对一维直线上的有限点集,给出了构造相应函数的过程,从而将点集所对应的迭代函数系统(IFS)中仿射变换的系数求取问题转化为求解函数的极值点,然后将此方法推广到二维点集.
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| 关 键 词： | 分形 吸引子 IFS 自相似 仿射变换 |
| 修稿时间： | 2001年7月12日 |
Determination of Affine transform of IFS |
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| ZHANG Yishun,YANG YangInformation Engineering School,UST Beijing,Beijing ,China.Determination of Affine transform of IFS[J].Journal of University of Science and Technology Beijing,2002,24(5):578-580. |
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| Authors: | ZHANG Yishun YANG YangInformation Engineering School UST Beijing Beijing China |
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| Institution: | ZHANG Yishun,YANG YangInformation Engineering School,UST Beijing,Beijing 100083,China |
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| Abstract: | The Iterated Function System (IPS) is an important theoretic and applied branch of fractal geometry. An IPS defines a point set called the attractor, but there have not any effective methods to obtain the corresponding IPS of a given point set. This paper first proposes an approach to constructing a function for a finite point set defined on the one-dimensional line, so the problem of determining the coefficinets of the affine transformation in an IPS is transfered into determining the extreme points of a the function. This method is then, extended to the two-dimesional plane. |
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| Keywords: | fractal attractor IFS self-similarity affine transformation |
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