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Conference Papers Year : 2008

Non-local Regularization of Inverse Problems

Sébastien Bougleux
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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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Dates and versions

hal-00365030 , version 1 (02-03-2009)


  • HAL Id : hal-00365030 , version 1


Gabriel Peyré, Sébastien Bougleux, Laurent D. Cohen. Non-local Regularization of Inverse Problems. European Conference on Computer Vision (ECCV'08), Oct 2008, Marseilles, France. pp.57-68. ⟨hal-00365030⟩
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