Variable splitting based method for image restoration with impulse plus Gaussian noise (Q1792943)

Summary: Image denoising is a fundamental problem in realm of image processing. A large amount of literature is dedicated to restoring an image corrupted by a certain type of noise. However, little literature is concentrated on the scenario of mixed noise removal. In this paper, based on the model of two-phase method for image denoising proposed by \textit{J.-F. Cai} et al. [Inverse Probl. Imaging 2, No. 2, 187--204 (2008; Zbl 1154.94306)] and the idea of variable splitting, we are capable of decomposing the image denoising problem into subproblems with closed form. Numerical results illustrate the validity and robustness of the proposed algorithms, especially for restoring the images contaminated by impulse plus Gaussian noise.