Total variation with overlapping group sparsity for speckle noise reduction

Staircase effect usually happens on the total variation (TV) regularized solutions, while the overlapping group sparsity total variation (OGSTV) as a regularization has been proved to be effective for alleviating this drawback. For coherent imaging systems, such as the synthetic aperture radar, the acquired images are corrupted by speckles. In this paper, we propose a speckle noise reduction model based on the regularization of OGSTV. Under the framework of efficient alternating direction method of multipliers, we develop the corresponding algorithm for solving the proposed model. Numerical experiments are presented to illustrate the superiority of the proposed model and efficiency of the corresponding algorithm.