[1]高旭,徐永安.迭代函数系统及其应用[J].南京理工大学学报(自然科学版),1996,(04):31-34.
　Gao Xu Xu Yongan.Iterated Function System and Its Application[J].Journal of Nanjing University of Science and Technology,1996,(04):31-34.
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迭代函数系统及其应用()
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《南京理工大学学报》（自然科学版）[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
1996年04期
页码:
31-34
栏目:
出版日期:
1996-08-30

文章信息/Info

Title:
Iterated Function System and Its Application
作者:
高旭; 徐永安
扬州大学工学院基础科学系, 扬州225009
Author(s):
Gao Xu Xu Yongan
Department of Basic Science of Institute of Technology, Yangzhou University, Yangzhou 225009
关键词:
算法;  过程;  图象压缩;  迭代函数系统
Keywords:
algorithms;  processes;  imag e compression;  iterated funct ion system
分类号:
TP301.6
摘要:
该文根据分形几何描绘自然景物的基本思想，分析了迭代函数系统（ＩＦＳ）构造分形的特点，即通过一组收缩仿射变换生成分形图象；并给出了生成二维和三维分形图象的ＩＦＳ矩阵。该文还简述了应用迭代函数系统生成三维蕨类植物叶子的分形图象的算法过程，对实现这一算法的Ｃ语言程序作了简要说明。文末提供了根据拼合定理确定ＩＦＳ系数的方法，简介了迭代函数系统在图象压缩技术中的应用
Abstract:
　In confo rmity w ith the thought that f ractal geomet ry describes natur al scenery, the characterist ics of iterated function system ( IFS) are analyzed in this paper — a fr actal image can be produced by applying a g roup o f const ract ive aff ine map; and the mat rices of IFS forming 2D and 3D f ractal imag es are g iv en. An alg orithm process that pr oduces the f ractal imag e of 3D fer n leaves by applying IFS, is stated in brief; and the Cpr ogram to r ealize the alg orithm pr ocess is concisely ex plained. A method to f ind the coefficients o f IFS is presented in the end according to collag e theorem, and the applicat ion of IFS to the image compressio n technique is also br ief ly int roduced.

参考文献/References:

1　Peitg en H O, Saupe D. The science o f fractal ima ges. New Yor k: Spr ing er-ver lag , 1988
2　Co rcar an E. 采用分形技术压缩图像. 科学( 美国) , 1990( 7) : 79～88

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备注/Memo

备注/Memo:
高　旭　男　43岁　讲师
更新日期/Last Update: 2013-04-11