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Mathematical Problems in Engineering
Volume 2016 (2016), Article ID 6132356, 11 pages
http://dx.doi.org/10.1155/2016/6132356
Research Article

Solving Adaptive Image Restoration Problems via a Modified Projection Algorithm

1School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, China
2Sichuan Provincial Key Laboratory of Digital Media, Chengdu, Sichuan 611731, China
3College of Computer Science and Technology, Southwest University for Nationalities, Chengdu, Sichuan 610041, China

Received 26 January 2016; Accepted 9 March 2016

Academic Editor: Daniel Zaldivar

Copyright © 2016 Hao Yang et al. 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.

Abstract

We introduce a new general TV regularizer, namely, generalized TV regularization, to study image denoising and nonblind image deblurring problems. In order to discuss the generalized TV image restoration with solution-driven adaptivity, we consider the existence and uniqueness of the solution for mixed quasi-variational inequality. Moreover, the convergence of a modified projection algorithm for solving mixed quasi-variational inequalities is also shown. The corresponding experimental results support our theoretical findings.