关键词: 图像自相似, 数理统计特征, 分形, 图像压缩, 函数迭代系统

Abstract: Self-similar of graphics is an important branch in the study of image fractal, the extraction and quantification of the feature of self-similar image particularly gets the most attention. In the process of fractal image coding, the extraction and quantification of self-similar image feature has been widely studied and applied. Based on the study of image characteristics of mathematical statistics, this paper puts forward a way of classifying the image blocks, which improves fractal image compression algorithm by dividing the image blocks with similar characteristics into smaller area. Experimental results show that this method improves the speed of fractal coding and reduces the amount of calculation in a great extent while reconstructed image quality can be guaranteed.

Key words: self-similar, characteristics of mathematical statistics, fractal, image compression, Iterated Function System（IFS）