A note on the bregmanized total variation and dual forms

Jérôme Darbon; Igor Ciril; Antonio Marquina; Tony F. Chan; Stanley Osher

doi:10.1109/ICIP.2009.5413353

A note on the bregmanized total variation and dual forms

Jérôme Darbon^*, Igor Ciril, Antonio Marquina, Tony F. Chan, Stanley Osher

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

2 Scopus citations

Abstract

This paper considers two approaches to perform image restoration while preserving the contrast. The first one is the Total Variation-based Bregman iterations while the second consists in the minimization of an energy that involves robust edge preserving regularization. We show that these two approaches can be derived form a common framework. This allows us to deduce new properties and to extend and generalize these two previous approaches.

Original language	English (US)
Title of host publication	2009 IEEE International Conference on Image Processing, ICIP 2009 - Proceedings
Publisher	IEEE Computer Society
Pages	2965-2968
Number of pages	4
ISBN (Print)	9781424456543
DOIs	https://doi.org/10.1109/ICIP.2009.5413353
State	Published - 2009
Externally published	Yes
Event	2009 IEEE International Conference on Image Processing, ICIP 2009 - Cairo, Egypt Duration: Nov 7 2009 → Nov 10 2009

Publication series

Name	Proceedings - International Conference on Image Processing, ICIP
ISSN (Print)	1522-4880

Other

Other	2009 IEEE International Conference on Image Processing, ICIP 2009
Country/Territory	Egypt
City	Cairo
Period	11/7/09 → 11/10/09

ASJC Scopus subject areas

Software
Computer Vision and Pattern Recognition
Signal Processing

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10.1109/ICIP.2009.5413353

Cite this

Darbon, J., Ciril, I., Marquina, A., Chan, T. F., & Osher, S. (2009). A note on the bregmanized total variation and dual forms. In 2009 IEEE International Conference on Image Processing, ICIP 2009 - Proceedings (pp. 2965-2968). Article 5413353 (Proceedings - International Conference on Image Processing, ICIP). IEEE Computer Society. https://doi.org/10.1109/ICIP.2009.5413353

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title = "A note on the bregmanized total variation and dual forms",

abstract = "This paper considers two approaches to perform image restoration while preserving the contrast. The first one is the Total Variation-based Bregman iterations while the second consists in the minimization of an energy that involves robust edge preserving regularization. We show that these two approaches can be derived form a common framework. This allows us to deduce new properties and to extend and generalize these two previous approaches.",

author = "J{\'e}r{\^o}me Darbon and Igor Ciril and Antonio Marquina and Chan, {Tony F.} and Stanley Osher",

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language = "English (US)",

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Darbon, J, Ciril, I, Marquina, A, Chan, TF & Osher, S 2009, A note on the bregmanized total variation and dual forms. in 2009 IEEE International Conference on Image Processing, ICIP 2009 - Proceedings., 5413353, Proceedings - International Conference on Image Processing, ICIP, IEEE Computer Society, pp. 2965-2968, 2009 IEEE International Conference on Image Processing, ICIP 2009, Cairo, Egypt, 11/7/09. https://doi.org/10.1109/ICIP.2009.5413353

A note on the bregmanized total variation and dual forms. / Darbon, Jérôme; Ciril, Igor; Marquina, Antonio et al.
2009 IEEE International Conference on Image Processing, ICIP 2009 - Proceedings. IEEE Computer Society, 2009. p. 2965-2968 5413353 (Proceedings - International Conference on Image Processing, ICIP).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - A note on the bregmanized total variation and dual forms

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AU - Ciril, Igor

AU - Marquina, Antonio

AU - Chan, Tony F.

AU - Osher, Stanley

PY - 2009

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AB - This paper considers two approaches to perform image restoration while preserving the contrast. The first one is the Total Variation-based Bregman iterations while the second consists in the minimization of an energy that involves robust edge preserving regularization. We show that these two approaches can be derived form a common framework. This allows us to deduce new properties and to extend and generalize these two previous approaches.

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DO - 10.1109/ICIP.2009.5413353

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ER -

A note on the bregmanized total variation and dual forms

Abstract

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ASJC Scopus subject areas

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