Global minimization of the active contour model with TV-inpainting and two-phase denoising

Shingyu Leung; Stanley Osher

doi:10.1007/11567646_13

Global minimization of the active contour model with TV-inpainting and two-phase denoising

Shingyu Leung^*, Stanley Osher

^*Corresponding author for this work

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

13 Citations (Scopus)

Abstract

The active contour model [8,9,2] is one of the most well-known variational methods in image segmentation. In a recent paper by Bresson et al. [1], a link between the active contour model and the variational denoising model of Rudin-Osher-Fatemi (ROF) [10] was demonstrated. This relation provides a method to determine the global minimizer of the active contour model. In this paper, we propose a variation of this method to determine the global minimizer of the active contour model in the case when there are missing regions in the observed image. The idea is to turn off the L¹-fidelity term in some subdomains, in particular the regions for image inpainting. Minimizing this energy provides a unified way to perform image denoising, segmentation and inpainting.

Original language	English
Title of host publication	Variational, Geometric, and Level Set Methods in Computer Vision - Third International Workshop, VLSM 2005, Proceedings
Publisher	Springer Verlag
Pages	149-160
Number of pages	12
ISBN (Print)	3540293485, 9783540293484
DOIs	https://doi.org/10.1007/11567646_13
Publication status	Published - 2005
Externally published	Yes
Event	3rd International Workshop on Variational, Geometric, and Level Set Methods in Computer Vision, VLSM 2005 - Beijing, China Duration: 16 Oct 2005 → 16 Oct 2005

Publication series

Name	Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume	3752 LNCS
ISSN (Print)	0302-9743
ISSN (Electronic)	1611-3349

Conference

Conference	3rd International Workshop on Variational, Geometric, and Level Set Methods in Computer Vision, VLSM 2005
Country/Territory	China
City	Beijing
Period	16/10/05 → 16/10/05

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10.1007/11567646_13

Cite this

Leung, S., & Osher, S. (2005). Global minimization of the active contour model with TV-inpainting and two-phase denoising. In Variational, Geometric, and Level Set Methods in Computer Vision - Third International Workshop, VLSM 2005, Proceedings (pp. 149-160). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3752 LNCS). Springer Verlag. https://doi.org/10.1007/11567646_13

Leung, Shingyu ; Osher, Stanley. / Global minimization of the active contour model with TV-inpainting and two-phase denoising. Variational, Geometric, and Level Set Methods in Computer Vision - Third International Workshop, VLSM 2005, Proceedings. Springer Verlag, 2005. pp. 149-160 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).

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abstract = "The active contour model [8,9,2] is one of the most well-known variational methods in image segmentation. In a recent paper by Bresson et al. [1], a link between the active contour model and the variational denoising model of Rudin-Osher-Fatemi (ROF) [10] was demonstrated. This relation provides a method to determine the global minimizer of the active contour model. In this paper, we propose a variation of this method to determine the global minimizer of the active contour model in the case when there are missing regions in the observed image. The idea is to turn off the L1-fidelity term in some subdomains, in particular the regions for image inpainting. Minimizing this energy provides a unified way to perform image denoising, segmentation and inpainting.",

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publisher = "Springer Verlag",

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booktitle = "Variational, Geometric, and Level Set Methods in Computer Vision - Third International Workshop, VLSM 2005, Proceedings",

note = "3rd International Workshop on Variational, Geometric, and Level Set Methods in Computer Vision, VLSM 2005 ; Conference date: 16-10-2005 Through 16-10-2005",

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Leung, S & Osher, S 2005, Global minimization of the active contour model with TV-inpainting and two-phase denoising. in Variational, Geometric, and Level Set Methods in Computer Vision - Third International Workshop, VLSM 2005, Proceedings. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 3752 LNCS, Springer Verlag, pp. 149-160, 3rd International Workshop on Variational, Geometric, and Level Set Methods in Computer Vision, VLSM 2005, Beijing, China, 16/10/05. https://doi.org/10.1007/11567646_13

Global minimization of the active contour model with TV-inpainting and two-phase denoising. / Leung, Shingyu; Osher, Stanley.
Variational, Geometric, and Level Set Methods in Computer Vision - Third International Workshop, VLSM 2005, Proceedings. Springer Verlag, 2005. p. 149-160 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3752 LNCS).

Research output: Chapter in Book/Conference Proceeding/Report › Conference Paper published in a book › peer-review

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AB - The active contour model [8,9,2] is one of the most well-known variational methods in image segmentation. In a recent paper by Bresson et al. [1], a link between the active contour model and the variational denoising model of Rudin-Osher-Fatemi (ROF) [10] was demonstrated. This relation provides a method to determine the global minimizer of the active contour model. In this paper, we propose a variation of this method to determine the global minimizer of the active contour model in the case when there are missing regions in the observed image. The idea is to turn off the L1-fidelity term in some subdomains, in particular the regions for image inpainting. Minimizing this energy provides a unified way to perform image denoising, segmentation and inpainting.

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M3 - Conference Paper published in a book

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SN - 9783540293484

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

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BT - Variational, Geometric, and Level Set Methods in Computer Vision - Third International Workshop, VLSM 2005, Proceedings

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Leung S, Osher S. Global minimization of the active contour model with TV-inpainting and two-phase denoising. In Variational, Geometric, and Level Set Methods in Computer Vision - Third International Workshop, VLSM 2005, Proceedings. Springer Verlag. 2005. p. 149-160. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)). doi: 10.1007/11567646_13

Global minimization of the active contour model with TV-inpainting and two-phase denoising

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