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.

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.