A Total Variation Model Based on the Strictly Convex Modification for Image Denoising
Joint Authors
Ogada, Elisha Achieng
Sun, Jiebao
Wu, Boying
Guo, Zhichang
Source
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-18
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
We propose a strictly convex functional in which the regular term consists of the total variation term and an adaptive logarithm based convex modification term.
We prove the existence and uniqueness of the minimizer for the proposed variational problem.
The existence, uniqueness, and long-time behavior of the solution of the associated evolution system is also established.
Finally, we present experimental results to illustrate the effectiveness of the model in noise reduction, and a comparison is made in relation to the more classical methods of the traditional total variation (TV), the Perona-Malik (PM), and the more recent D-α-PM method.
Additional distinction from the other methods is that the parameters, for manual manipulation, in the proposed algorithm are reduced to basically only one.
American Psychological Association (APA)
Wu, Boying& Ogada, Elisha Achieng& Sun, Jiebao& Guo, Zhichang. 2014. A Total Variation Model Based on the Strictly Convex Modification for Image Denoising. Abstract and Applied Analysis،Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1034122
Modern Language Association (MLA)
Wu, Boying…[et al.]. A Total Variation Model Based on the Strictly Convex Modification for Image Denoising. Abstract and Applied Analysis No. 2014 (2014), pp.1-16.
https://search.emarefa.net/detail/BIM-1034122
American Medical Association (AMA)
Wu, Boying& Ogada, Elisha Achieng& Sun, Jiebao& Guo, Zhichang. A Total Variation Model Based on the Strictly Convex Modification for Image Denoising. Abstract and Applied Analysis. 2014. Vol. 2014, no. 2014, pp.1-16.
https://search.emarefa.net/detail/BIM-1034122
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1034122