Fractional-Order Total Variation Image Restoration Based on Primal-Dual Algorithm
Joint Authors
Chen, Dali
Xue, Dingyu
Chen, YangQuan
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-11-21
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
This paper proposes a fractional-order total variation image denoising algorithm based on the primal-dual method, which provides a much more elegant and effective way of treating problems of the algorithm implementation, ill-posed inverse, convergence rate, and blocky effect.
The fractional-order total variation model is introduced by generalizing the first-order model, and the corresponding saddle-point and dual formulation are constructed in theory.
In order to guarantee O1/N2 convergence rate, the primal-dual algorithm was used to solve the constructed saddle-point problem, and the final numerical procedure is given for image denoising.
Finally, the experimental results demonstrate that the proposed methodology avoids the blocky effect, achieves state-of-the-art performance, and guarantees O1/N2 convergence rate.
American Psychological Association (APA)
Chen, Dali& Chen, YangQuan& Xue, Dingyu. 2013. Fractional-Order Total Variation Image Restoration Based on Primal-Dual Algorithm. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-482851
Modern Language Association (MLA)
Chen, Dali…[et al.]. Fractional-Order Total Variation Image Restoration Based on Primal-Dual Algorithm. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-482851
American Medical Association (AMA)
Chen, Dali& Chen, YangQuan& Xue, Dingyu. Fractional-Order Total Variation Image Restoration Based on Primal-Dual Algorithm. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-482851
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-482851