Abstract

Nonlocal method is one of the most important methods in the field of image restoration in recent years, the nutshell of this method is the interpretation and the modeling of the self-similarity property (SSP) of natural images. In this paper, we perform a deep analysis of the SSP and accordingly propose two principles for nonlocal image modeling (1. Exploiting the two direction correlation structures inherent in natural images, 2. Exploiting the similarity and simultaneously preserving the difference between similar patches). On the basis of these principles, we develop a new nonlocal model for image denoising by using singular value decomposition. Numerical experiments indicate that the proposed model leads to competitive denoising results.

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