A research on fractal image compression based on fuzzy theory

We present an entirely new fuzzy-theory-based fractal image compression algorithm. Based on Jacquin's fractal image compression algorithm, we utilize the fuzzy mathematics theory in this algorithm, and for the first time set up an image-based fuzzy integrate judgment model in which the relevant quantity of the image block is designed. The model can reflect the edge degree in the image block. When performing range-domain blocks matching, the model can significantly save the searching time. Experimental results show that the coding time can be reduced approximately by 60-70% while the PSNR of the most reconstructed images is nearly the same. Therefore this algorithm has obvious advantage in increasing the coding speed, it has wide application prospect.