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
TypeCommunication / Conférence
External document linkhttps://hal.archives-ouvertes.fr/hal-00365030
Book titleEuropean 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 authorDavid Forsyth, Philip Torr, Andrew Zisserman
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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 / Keywordsinverse problem; denoising; regularization; deblurring; compressed sensing; Non local means
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