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Multiplicative Noise Removal Based on the Linear Alternating Direction Method for a Hybrid Variational Model
Joint Authors
Hao, Yan
Xu, Jianlou
Zhang, Fengyun
Zhang, Xiaobo
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-05-15
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
To preserve the edge, multiplicative noise removal models based on the total variation regularization have been widely studied, but they suffer from the staircase effect.
In this paper, to preserve the edge and reduce the staircase effect, we develop a hybrid variational model based on the variable splitting method for multiplicative noise removal; the new model is a strictly convex objective function which contains the total variation regularization and a modified regularization term.
We use the linear alternative direction method to find the minimal solution and also give the convergence proof of the proposed algorithm.
Experimental results verify that the proposed model can obtain the better results for removing the multiplicative noise compared with the recent method.
American Psychological Association (APA)
Hao, Yan& Xu, Jianlou& Zhang, Fengyun& Zhang, Xiaobo. 2017. Multiplicative Noise Removal Based on the Linear Alternating Direction Method for a Hybrid Variational Model. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1192684
Modern Language Association (MLA)
Hao, Yan…[et al.]. Multiplicative Noise Removal Based on the Linear Alternating Direction Method for a Hybrid Variational Model. Mathematical Problems in Engineering No. 2017 (2017), pp.1-10.
https://search.emarefa.net/detail/BIM-1192684
American Medical Association (AMA)
Hao, Yan& Xu, Jianlou& Zhang, Fengyun& Zhang, Xiaobo. Multiplicative Noise Removal Based on the Linear Alternating Direction Method for a Hybrid Variational Model. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-10.
https://search.emarefa.net/detail/BIM-1192684
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192684