New Nonlinear Fractal Compression Algorithm
Xiehua Sun · Jisuanji gongcheng · 2008
This paper presents a new nonlinear fractal compression algorithm based on Julia-CK set and Logistic map. Carotid-Kundalini function is used to generate the Julia-CK set and Logistic map is applied to engender pseudo-number to fill the quantized table. Julia-CK set is divided into 4×4 square image blocks,afterwards they are changed into disks. After the disks are rotated,they are changed into square blocks again and classified appropriately. In the course of coding,it is only to search the matching image square in the same category. The traditional affine maps are largely extended and a very abound,universal and fixed dictionary is obtained. Moreover,the problem that the image and digital dictionary should be corresponded with each other can be effectively solved. Experimental results show that compared with the traditional fractal compression method brought by Barnsley,the new algorithm can enhance the compression rate by about 36 percent and improve the PSNR of the rebuilt image by about 27 percent,so it has better compression results and high quality rebuilt image.