Constrained anisotropic diffusion and some applications

Gabriele Facciolo; Federico Lecumberry; Andrés Almansa; Alvaro Pardo; Vicent Caselles; Bernard Rougé

Constrained anisotropic diffusion and some applications

Gabriele Facciolo
, Federico Lecumberry
, Andrés Almansa
, Alvaro Pardo
, Vicent Caselles
, Bernard Rougé

Universidad de la República
Pompeu Fabra University (UPF)
Universidad Católica del Uruguay
Centre National d'études Spatiales

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

11 Citations (Scopus)

Abstract

Minimal surface regularization has been used in several applications ranging from stereo to image segmentation, sometimes hidden as a graph-cut discrete formulation, or as a strictly convex approximation to TV minimization. In this paper we consider a modified version of minimal surface regularization coupled with a robust data fitting term for interpolation purposes, where the corresponding evolution equation is constrained to diffuse only along the isophotes of a given image u and we design a convergent numerical scheme to accomplish this. To illustrate the usefulness of our approach, we apply this framework to the digital elevation model interpolation and to constrained vector probability diffusion.

Original language	English
Title of host publication	BMVC 2006 - Proceedings of the British Machine Vision Conference 2006
Publisher	British Machine Vision Association, BMVA
Pages	1049-1058
Number of pages	10
ISBN (Print)	1904410146, 9781904410140
Publication status	Published - 1 Jan 2006
Externally published	Yes
Event	2006 17th British Machine Vision Conference, BMVC 2006 - Edinburgh, United Kingdom Duration: 4 Sept 2006 → 7 Sept 2006

Publication series

Name	BMVC 2006 - Proceedings of the British Machine Vision Conference 2006
Volume	3

Conference

Conference	2006 17th British Machine Vision Conference, BMVC 2006
Country/Territory	United Kingdom
City	Edinburgh
Period	4/09/06 → 7/09/06

Cite this

@inproceedings{534c95c670d84148bf58f6a843a9e93e,

title = "Constrained anisotropic diffusion and some applications",

abstract = "Minimal surface regularization has been used in several applications ranging from stereo to image segmentation, sometimes hidden as a graph-cut discrete formulation, or as a strictly convex approximation to TV minimization. In this paper we consider a modified version of minimal surface regularization coupled with a robust data fitting term for interpolation purposes, where the corresponding evolution equation is constrained to diffuse only along the isophotes of a given image u and we design a convergent numerical scheme to accomplish this. To illustrate the usefulness of our approach, we apply this framework to the digital elevation model interpolation and to constrained vector probability diffusion.",

author = "Gabriele Facciolo and Federico Lecumberry and Andr{\'e}s Almansa and Alvaro Pardo and Vicent Caselles and Bernard Roug{\'e}",

year = "2006",

month = jan,

day = "1",

language = "English",

isbn = "1904410146",

series = "BMVC 2006 - Proceedings of the British Machine Vision Conference 2006",

publisher = "British Machine Vision Association, BMVA",

pages = "1049--1058",

booktitle = "BMVC 2006 - Proceedings of the British Machine Vision Conference 2006",

note = "2006 17th British Machine Vision Conference, BMVC 2006 ; Conference date: 04-09-2006 Through 07-09-2006",

}

Facciolo, G, Lecumberry, F, Almansa, A, Pardo, A, Caselles, V & Rougé, B 2006, Constrained anisotropic diffusion and some applications. in BMVC 2006 - Proceedings of the British Machine Vision Conference 2006. BMVC 2006 - Proceedings of the British Machine Vision Conference 2006, vol. 3, British Machine Vision Association, BMVA, pp. 1049-1058, 2006 17th British Machine Vision Conference, BMVC 2006, Edinburgh, United Kingdom, 4/09/06.

Constrained anisotropic diffusion and some applications. / Facciolo, Gabriele; Lecumberry, Federico; Almansa, Andrés et al.
BMVC 2006 - Proceedings of the British Machine Vision Conference 2006. British Machine Vision Association, BMVA, 2006. p. 1049-1058 (BMVC 2006 - Proceedings of the British Machine Vision Conference 2006; Vol. 3).

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

TY - GEN

T1 - Constrained anisotropic diffusion and some applications

AU - Facciolo, Gabriele

AU - Lecumberry, Federico

AU - Almansa, Andrés

AU - Pardo, Alvaro

AU - Caselles, Vicent

AU - Rougé, Bernard

PY - 2006/1/1

Y1 - 2006/1/1

N2 - Minimal surface regularization has been used in several applications ranging from stereo to image segmentation, sometimes hidden as a graph-cut discrete formulation, or as a strictly convex approximation to TV minimization. In this paper we consider a modified version of minimal surface regularization coupled with a robust data fitting term for interpolation purposes, where the corresponding evolution equation is constrained to diffuse only along the isophotes of a given image u and we design a convergent numerical scheme to accomplish this. To illustrate the usefulness of our approach, we apply this framework to the digital elevation model interpolation and to constrained vector probability diffusion.

AB - Minimal surface regularization has been used in several applications ranging from stereo to image segmentation, sometimes hidden as a graph-cut discrete formulation, or as a strictly convex approximation to TV minimization. In this paper we consider a modified version of minimal surface regularization coupled with a robust data fitting term for interpolation purposes, where the corresponding evolution equation is constrained to diffuse only along the isophotes of a given image u and we design a convergent numerical scheme to accomplish this. To illustrate the usefulness of our approach, we apply this framework to the digital elevation model interpolation and to constrained vector probability diffusion.

UR - https://www.scopus.com/pages/publications/44749084349

M3 - Conference contribution

AN - SCOPUS:44749084349

SN - 1904410146

SN - 9781904410140

T3 - BMVC 2006 - Proceedings of the British Machine Vision Conference 2006

SP - 1049

EP - 1058

BT - BMVC 2006 - Proceedings of the British Machine Vision Conference 2006

PB - British Machine Vision Association, BMVA

T2 - 2006 17th British Machine Vision Conference, BMVC 2006

Y2 - 4 September 2006 through 7 September 2006

ER -

Constrained anisotropic diffusion and some applications

Abstract

Publication series

Conference

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