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Non-local Regularization of Inverse Problems

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Date
2008
Notes
LNCS n°5304
Link to item file
https://hal.archives-ouvertes.fr/hal-00365030
Dewey
Probabilités et mathématiques appliquées
Sujet
inverse problem; denoising; regularization; deblurring; compressed sensing; Non local means
DOI
http://dx.doi.org/10.1007/978-3-540-88690-7_5
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 IIIEuropean Conference on Computer Vision (ECCV'08)
Author
David Forsyth, Philip Torr, Andrew Zisserman
Publisher
Springer
Publisher city
Berlin Heidelberg
Year
2008
ISBN
978-3-540-88689-1
Book URL
10.1007/978-3-540-88690-7
URI
https://basepub.dauphine.fr/handle/123456789/957
Collections
  • CEREMADE : Publications
Metadata
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Author
Peyré, Gabriel
Bougleux, Sébastien
Cohen, Laurent D.
Type
Communication / Conférence
Item number of pages
57-68
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.

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