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Non-local Regularization of Inverse Problems

Peyré, Gabriel; Bougleux, Sébastien; Cohen, Laurent D. (2008), Non-local Regularization of Inverse Problems, in David Forsyth, Philip Torr, Andrew Zisserman, European Conference on Computer Vision (ECCV'08). 10th European Conference on Computer Vision, Marseille, France, October 12-18, 2008, Proceedings, Part III, Springer : Berlin Heidelberg, p. 57-68. 10.1007/978-3-540-88690-7_5

Type
Communication / Conférence
External document link
https://hal.archives-ouvertes.fr/hal-00365030
Date
2008
Conference country
FRANCE
Book title
European Conference on Computer Vision (ECCV'08). 10th European Conference on Computer Vision, Marseille, France, October 12-18, 2008, Proceedings, Part III; European Conference on Computer Vision (ECCV'08)
Book author
David Forsyth, Philip Torr, Andrew Zisserman
Publisher
Springer
Published in
Berlin Heidelberg
ISBN
978-3-540-88689-1
Pages
57-68
Publication identifier
Metadata
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Author(s)
Peyré, Gabriel

Bougleux, Sébastien

Cohen, Laurent D.
Abstract (EN)
This article proposes a new framework to regularize linear inverse problems using the total variation on non-local graphs. This non-local graph allows to adapt the penalization to the geometry of the underlying function to recover. A fast algorithm computes iteratively both the solution of the regularization process and the non-local graph adapted to this solution. We show numerical applications of this method to the resolution of image processing inverse problems such as inpainting, super-resolution and compressive sampling.
Subjects / Keywords
inverse problem; denoising; regularization; deblurring; compressed sensing; Non local means