Fractional-Order Total Variation Image Restoration Based on Primal-Dual Algorithm

Joint Authors

Chen, Dali
Xue, Dingyu
Chen, YangQuan

Source

Abstract and Applied Analysis

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

Mathematics

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