图象分形压缩映射存在性的构造性证明和应用

赵德平; 朱伟勇

doi:10.11834/jig.20001109

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专辑

图象分形压缩映射存在性的构造性证明和应用
An Existent and Constructive Proof of Image Fractal Compression Mappings and Application in Fractal Image Coding
2000年5卷第11期页码：932
纸质出版：2000
DOI： 10.11834/jig.20001109
稿件说明：

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赵德平, 朱伟勇. 图象分形压缩映射存在性的构造性证明和应用[J]. 中国图象图形学报, 2000,5(11):932. DOI： 10.11834/jig.20001109.

An Existent and Constructive Proof of Image Fractal Compression Mappings and Application in Fractal Image Coding[J]. Journal of Image and Graphics, 2000, 5(11): 932. DOI： 10.11834/jig.20001109.

摘要

给出了图象分形压缩映射存在性的一个构造性证明

并应用在图象编码中.此外

根据压缩映射存在性的构造证明过程

提出了分形编码的一个新算法.实验表明

在提高图象恢复质量的同时

运算时间也大大缩短.

Abstract

This paper presents an existent and constructive proof of image fractal compression mappings and application in fractal image coding. In addition

based on the procedure of the existent and constructive proof of image fractal compression mappings

a new fractal image coding algorithm is presented. Some beneficial theory about these constructive fractal mappings are also discussed. The theoretical result shows that the theory is feasible. The experimental results prove that the new algorithm can improve reconstructing image while reducing encoding time.