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A Hybrid Encoding Method Based on Modulus Maximum and Fractal

LUO Qiang 1) , REN Qing-li 2) , LUO Li 3) , YANG Wan-hai 1) 1) (School of the Electronic Engineering, Xidian University, Xi'an 710071) 2) (School of the Electrical Engineering, Xi'an Jiaotong University, Xi'an 710049) 3) (School of Computer, National University Of Defence Technology, Changsha 410043)  
After discussing the merits and demerits of the fractal theory and wavelet transformation modulus maximum in image compression, the new hybrid encoding method based on wavelet transformation modulus maximum and fractal is firstly presented in this paper. It is known that IFS is used synthesize fractal image resembling natural objects. But the maximal errors of restoration image are on the edge of image. The local maximal of wavelet transformation provides an effective technique for image edge extraction. The reconstruction of image is made from the modulus maximum of its wavelet transformation. Using the edge character of the wavelet local maximum modulus firstly performs the image encoding. Then, error image is compressed according to the self-similar of the fractal so as to obtain the good reconstructed image with the high compression rate. Later, the theory description and the detail algorithm steps are given. Finally, the experiment results show that the compression image has the properties of good vision effect,non-square effect,no edge oscillation,no image blur and high compression rate by using this kind of new hybrid encoding method.
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