Image denoising using new pixon representation based on fuzzy filtering and partial differential equations

In this paper, we have proposed two extensions to pixon-based image modeling. The first one is using bicubic interpolation instead of bilinear interpolation and the second one is using fuzzy filtering method, aiming to improve the quality of the pixonal image. Finally, partial differential equations (PDEs) are applied on the pixonal image for noise removing.

The proposed algorithm has been examined on variety of standard images and their performance compared with the existing algorithms. Experimental results show that in comparison with the other existing methods, the proposed algorithm has a better performance in denoising and preserving image edges.