图象的部分分形映射压缩算法

自Ｂａｒｎｓｌｅｙ提出分形图象编码的概念，特别Ｊａｃｑｕｉｎ给了第一个完全由计算机自动完成的图象编码算法以来，分形图象编码得到了越来越多的关注，一种新的趋势是将分形编码方法与其他方法相结合，结合方式之一是只图象中的一部分进行分形编码而其他部分采用不同的编码方式，文中针对这一思想给出部分分形映射，并对其在不同条件下的收敛性，拼贴定理等性质进行了讨论，对这一思想的可行性在理论上得到了一些有益的结论，还

AN IMAGE COMPRESSION ALGORITHM BASED ON PARTIAL FRACTAL MAPPING

Since Barnsley presented the concept of fractal image compression, especially after Jacquin proposed a fully automatic image compression algorithm, fractal image coding has attracted a great deal of attention. A new trend is to combine fractal image coding with other image compression algorithms. Among them is to code only part of the image using fractal technique and represent the remaining part using other approaches. Based on this idea, partial fractal mapping is presented and its properties under different conditions are discussed. Some beneficial conclusions with respect to its feasibility are obtained. Also given are a framework for partial fractal coding and a new partial fractal coding scheme which can improve compression ratio while reducing encoding time.