Constrained Anisotropic Diffusion and some Applications

Facciolo, Gabriele; Lecumberry, Federico; Almansa, Andres; Pardo, Alvaro; Caselles, Vicent; Rouge, Bernard

by Gabriele Facciolo, Federico Lecumberry, Andres Almansa, Alvaro Pardo, Vicent Caselles, Bernard Rouge

Abstract:

Minimal surface regularization has been used in several applications ranging from stereo to image segmentation, sometimes hidden as a graph-cut dis- crete formulation, or as a strictly convex approximation to TV minimization. In this paper we consider a modified version of minimal surface regulariza- tion 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 elevationmodel interpolation and to constrained vector probability diffusion.

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Reference:

Constrained Anisotropic Diffusion and some Applications (Gabriele Facciolo, Federico Lecumberry, Andres Almansa, Alvaro Pardo, Vicent Caselles, Bernard Rouge), In (BMVC 2006) British Machine Vision Conference, volume 3, 2006.

Bibtex Entry:

@inproceedings{Facciolo2006,
	Abstract = {Minimal surface regularization has been used in several applications ranging from stereo to image segmentation, sometimes hidden as a graph-cut dis- crete formulation, or as a strictly convex approximation to TV minimization. In this paper we consider a modified version of minimal surface regulariza- tion 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 elevationmodel interpolation and to constrained vector probability diffusion.},
	Author = {Facciolo, Gabriele and Lecumberry, Federico and Almansa, Andres and Pardo, Alvaro and Caselles, Vicent and Rouge, Bernard},
	Booktitle = {(BMVC 2006) British Machine Vision Conference},
	Pages = {1049--1058},
	Title = {{Constrained Anisotropic Diffusion and some Applications}},
	Url = {http://www.macs.hw.ac.uk/bmvc2006/papers/345.pdf},
	Volume = {3},
	Year = {2006},
	Bdsk-Url-1 = {http://www.macs.hw.ac.uk/bmvc2006/papers/345.pdf}}