To overcome the shortcoming of long coding time and the poor quality of reconstructed image of the fractal compress coding algorithm, fractal coding combined with compress sensing algorithm is proposed. By analyzing the characteristics of the energy concentration after wavelet transformation, fractal compression algorithm is used to coding the low-frequency sub-image, for differential image and other sub-image, compress sensing coding algorithm is used to sample and code the difference image and other sub-figure, to ease distortion and recover the detail of the image after fractal coding. The experimental results show that the proposed algorithm not only improved code speed, but also obtains high quality reconstructed image.%针对分形编码因为高压缩比所造成的编码失真以及编码时间过长的问题,提出了结合压缩感知理论的快速分形编码算法.该算法基于小波变换系数的特性,对变换后的低频子图分形编码,再根据压缩感知理论高效采样编码的特点以及低频差值子图及其它子图的稀疏性,通过压缩感知理论对低频差值子图及其它子图采样再编码,弥补分形解码后图像的失真和细节信息的缺失.实验结果表明,该算法不仅缩短了编码时间,而且在压缩比相当的情况下,能够获得高质量的重构图像.
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