A Coordinate Descent Method for Total Variation Minimization
Joint Authors
Deng, Hong
Ren, Dongwei
Xiao, Gang
Zuo, W.
Zhang, David
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-09-18
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
Total variation (TV) is a well-known image model with extensive applications in various images and vision tasks, for example, denoising, deblurring, superresolution, inpainting, and compressed sensing.
In this paper, we systematically study the coordinate descent (CoD) method for solving general total variation (TV) minimization problems.
Based on multidirectional gradients representation, the proposed CoD method provides a unified solution for both anisotropic and isotropic TV-based denoising (CoDenoise).
With sequential sweeping and small random perturbations, CoDenoise is efficient in denoising and empirically converges to optimal solution.
Moreover, CoDenoise also delivers new perspective on understanding recursive weighted median filtering.
By incorporating with the Augmented Lagrangian Method (ALM), CoD was further extended to TV-based image deblurring (ALMCD).
The results on denoising and deblurring validate the efficiency and effectiveness of the CoD-based methods.
American Psychological Association (APA)
Deng, Hong& Ren, Dongwei& Xiao, Gang& Zhang, David& Zuo, W.. 2017. A Coordinate Descent Method for Total Variation Minimization. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1190025
Modern Language Association (MLA)
Deng, Hong…[et al.]. A Coordinate Descent Method for Total Variation Minimization. Mathematical Problems in Engineering No. 2017 (2017), pp.1-13.
https://search.emarefa.net/detail/BIM-1190025
American Medical Association (AMA)
Deng, Hong& Ren, Dongwei& Xiao, Gang& Zhang, David& Zuo, W.. A Coordinate Descent Method for Total Variation Minimization. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-13.
https://search.emarefa.net/detail/BIM-1190025
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1190025