Low-rank Constraint with Sparse Representation for Image Restoration under Multiplicative Noise.

In this paper, a novel model is proposed to remove multiplicative noise via sparse representation and low-rank constraint. We first translate multiplicative noise into additive one by a logarithmic transform and introduce a regularization with nonlocal similarity and low-rank constraint to capture the essential features. To solve the proposed model, it is divided into three subproblems, and the alternative optimization method is employed. After the denoising image in the log-domain was available, the recovered image is obtained by an exponential function and a bias correction. Compared with the state-of-the-art methods, the proposed algorithm achieves better denoising results both in terms of objective metrics and visual effects.