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Efficient Algorithm for Isotropic and Anisotropic Total Variation Deblurring and Denoising
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-17
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
A new deblurring and denoising algorithm is proposed, for isotropic total variation-based image restoration.
The algorithm consists of an efficient solver for the nonlinear system and an acceleration strategy for the outer iteration.
For the nonlinear system, the split Bregman method is used to convert it into linear system, and an algebraic multigrid method is applied to solve the linearized system.
For the outer iteration, we have conducted formal convergence analysis to determine an auxiliary linear term that significantly stabilizes and accelerates the outer iteration.
Numerical experiments demonstrate that our algorithm for deblurring and denoising problems is efficient.
American Psychological Association (APA)
Shi, Yuying& Chang, Qianshun S.. 2013. Efficient Algorithm for Isotropic and Anisotropic Total Variation Deblurring and Denoising. Journal of Applied Mathematics،Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-498921
Modern Language Association (MLA)
Shi, Yuying& Chang, Qianshun S.. Efficient Algorithm for Isotropic and Anisotropic Total Variation Deblurring and Denoising. Journal of Applied Mathematics No. 2013 (2013), pp.1-14.
https://search.emarefa.net/detail/BIM-498921
American Medical Association (AMA)
Shi, Yuying& Chang, Qianshun S.. Efficient Algorithm for Isotropic and Anisotropic Total Variation Deblurring and Denoising. Journal of Applied Mathematics. 2013. Vol. 2013, no. 2013, pp.1-14.
https://search.emarefa.net/detail/BIM-498921
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498921