An Image Denoising Fast Algorithm for Weighted Total Variation

Abstract

The total variation (TV) model is a classical and effective model in image denoising, but the weighted total variation (WTV) model has not attracted much attention. In this paper, we propose a new constrained WTV model for image denoising. A fast denoising dual method for the new constrained WTV model is also proposed. To achieve this task, we combines the well known gradient projection (GP) and the fast gradient projection (FGP) methods on the dual approach for the image denoising problem. Experimental results show that the proposed method outperforms currently known GP andFGP methods, and canbe applicable to both the isotropic and anisotropic WTV functions.