Image restoration based on PDEs and a non-local algorithm

Authors:
Lei Xu;Xiaoling Zhang;Kin-Man Lam;Jin Xie
Affiliations:
Department of Communication Engineering, Xiamen University, Xiamen, Fujian, China;Department of Communication Engineering, Xiamen University, Xiamen, Fujian, China and Centre for Signal Processing, Department of Electronic and Information Engineering, The Hong Kong Polytechnic ...;Centre for Signal Processing, Department of Electronic and Information Engineering, The Hong Kong Polytechnic University, Hong Kong, China;Department of Communication Engineering, Xiamen University, Xiamen, Fujian, China
Venue:
PCM'10 Proceedings of the Advances in multimedia information processing, and 11th Pacific Rim conference on Multimedia: Part II
Year:
2010

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Abstract

Image restoration based on partial differential equations (PDEs) is an effective approach. However, most of the methods are based on using a local window, such as a 3×3 mask, operating on images. As a consequence, the anisotropic diffusion process seeks the local mode of a density when performing repeatedly, which may degrade the image details. However, a non-local (NL) algorithm can take advantage of all the possible self-predictions provided by the image. In this paper, image restoration based on PDEs is discussed and a NL algorithm is proposed. Experiments show that this method using the NL algorithm can improve the performance efficiently and significantly.