Solving Adaptive Image Restoration Problems via a Modified Projection Algorithm. (4th April 2016)

• Record Type: Journal Article
• Authors: Yang, Hao; Luo, Xueping; Chen, Leiting
• Other Names: Zaldivar Daniel Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2016(2016)
• Publication Date: 2016-04-04
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2016/6132356
• Languages: English
• ISSNs: 1024-123X

Abstract

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.