在分析分形理论和小波变换模极大值用于图象压缩方面优缺点的基础上，根据它们的特点，综合利用两种方法的优点，弥补它们不足，提出了一种基于小波变换极大模和分形的混合编码方法.该方法先利用小波局部模极大值提取的图象边缘特性来进行图象编码，然后用分形的自相似性对图象的误差图进行压缩，以获得高压缩比和质量好的恢复图象 ;同时还简单进行了理论阐述和给出了具体算法的步骤.实验结果表明，采用此方法压缩后的图象不仅视觉效果好、无方块效应，而且边缘无振荡现象、图象清晰无模糊，压缩比高.

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.