A Nonmonotone Gradient Algorithm for Total Variation Image Denoising Problems
Joint Authors
Xiong, Shengwu
Wang, Peng
Xie, Xiangyun
Yuan, Shi-Fang
Source
Mathematical Problems in Engineering
Issue
Vol. 2016, Issue 2016 (31 Dec. 2016), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2016-09-15
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The total variation (TV) model has been studied extensively because it is able to preserve sharp attributes and capture some sparsely critical information in images.
However, TV denoising problem is usually ill-conditioned that the classical monotone projected gradient method cannot solve the problem efficiently.
Therefore, a new strategy based on nonmonotone approach is digged out as accelerated spectral project gradient (ASPG) for solving TV.
Furthermore, traditional TV is handled by vectorizing, which makes the scheme far more complicated for designing algorithms.
In order to simplify the computing process, a new technique is developed in view of matrix rather than traditional vector.
Numerical results proved that our ASPG algorithm is better than some state-of-the-art algorithms in both accuracy and convergence speed.
American Psychological Association (APA)
Wang, Peng& Yuan, Shi-Fang& Xie, Xiangyun& Xiong, Shengwu. 2016. A Nonmonotone Gradient Algorithm for Total Variation Image Denoising Problems. Mathematical Problems in Engineering،Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1112179
Modern Language Association (MLA)
Wang, Peng…[et al.]. A Nonmonotone Gradient Algorithm for Total Variation Image Denoising Problems. Mathematical Problems in Engineering No. 2016 (2016), pp.1-9.
https://search.emarefa.net/detail/BIM-1112179
American Medical Association (AMA)
Wang, Peng& Yuan, Shi-Fang& Xie, Xiangyun& Xiong, Shengwu. A Nonmonotone Gradient Algorithm for Total Variation Image Denoising Problems. Mathematical Problems in Engineering. 2016. Vol. 2016, no. 2016, pp.1-9.
https://search.emarefa.net/detail/BIM-1112179
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1112179