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Mathematical Problems in Engineering
Volume 2016, Article ID 3151303, 16 pages
Research Article

Variable Splitting Based Method for Image Restoration with Impulse Plus Gaussian Noise

College of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China

Received 9 June 2016; Revised 7 October 2016; Accepted 23 October 2016

Academic Editor: Bogdan Dumitrescu

Copyright © 2016 Tingting Wu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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 Cai et al. (2008) 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.