Proximal ADMM Approach for Image Restoration with Mixed Poisson-Gaussian Noise

Image restoration based on total variation has been widely studied owing to its edgepreservation properties.In this study, we consider the total variation infimal convolution (TV-IC) image restoration model for eliminating mixed Poisson-Gaussian noise.Based on the alternating direction method of multipliers (ADMM), we propose a complete splitting proximal bilinear constraint ADMM algorithm to solve the TV-IC model.We prove the convergence of the proposed algorithm under mild conditions.In contrast with other algorithms used for solving the TV-IC model, the proposed algorithm does not involve any inner iterations, and each subproblem has a closed-form solution.Finally, numerical experimental results demonstrate the efficiency and effectiveness of the proposed algorithm.