Image Compression Using Generalized Mandelbrot Collection and Logistic Mapping
Peng Peng · Journal of Shenyang Jianzhu University · 2008
When constructing the compression dictionary,we create a new method to change the fact that an image has a fixed quantification table and an image has a one-toone compression dictionary.The method advances the fractal image compression algorithm based on Mandelbrot collection and Logistic mapping.The function f(z)=z3+c with different z can create different curves.The paper used the quantification table coming from Logistic mapping to quantify the curves and then obtained many image blocks,thus an abundant compression dictionary was built.Self-adapt combination arithmetic was applied to sorting the image.We matched the image blocks in the compression dictionary,then the image blocks satisfying the conditions were encoded.When decoding,the compression was read to reconstruct the former image.This algorithm is simple and feasible,and it provides higher compression ratio,faster decoding and perfect decoded image.