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Wavelets and Fractal Image Compression Based on their Self-Similarity of the Space-Frequency Plane of Images

This paper presents a fusion scheme for Wavelets and Fractal image compression based on the self-similarity of the space-frequency plane of sub-band encoded images. Various kinds of Wavelet transform are examined for the characteristics of their self-similarity and evaluated for the adoption of Fractal modeling. The aim of this paper is to reduce the information of the two sets of blocks involved in the Fractal image compression by using the self-similarity of images. And also, the new video encoder using the fusion method of Wavelets and Fractal adopts the similar manner as the motion compensation technique of MPEG encoder. Experimental results show almost the same PSNR and bits rate as conventional Fractal image encoder depending on the sampled images by computer simulations.