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dc.contributor.authorFadili, Jalal
HAL ID: 15510
dc.contributor.authorPeyré, Gabriel
HAL ID: 1211
dc.date.accessioned2014-03-24T09:04:23Z
dc.date.available2014-03-24T09:04:23Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/12942
dc.language.isoenen
dc.subjectTotal variationen
dc.subjectprojectionen
dc.subjectdualityen
dc.subjectproximal operatoren
dc.subjectforward-backward splittingen
dc.subjectNesterov schemeen
dc.subjectinverse problemsen
dc.subject.ddc518en
dc.titleTotal Variation Projection with First Order Schemesen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis article proposes a new algorithm to compute the projection on the set of images whose total variation is bounded by a constant. The projection is computed through a dual formulation that is solved by first order non-smooth optimization methods. This yields an iterative algorithm that applies iterative soft thresholding to the dual vector field, and for which we establish convergence rate on the primal iterates. This projection algorithm can then be used as a building block in a variety of applications such as solving inverse problems under a total variation constraint, or for texture synthesis. Numerical results are reported to illustrate the usefulness and potential applicability of our TV projection algorithm on various examples including denoising, texture synthesis, inpainting, deconvolution and tomography problems. We also show that our projection algorithm competes favorably with state-of-the-art TV projection methods in terms of convergence speed.en
dc.relation.isversionofjnlnameIEEE Transactions on Image Processing
dc.relation.isversionofjnlvol20en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages657-669en
dc.relation.isversionofdoihttp://dx.doi.org/10.1109/TIP.2010.2072512en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00380491en
dc.relation.isversionofjnlpublisherIEEEen
dc.subject.ddclabelModèles mathématiques. Algorithmesen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen


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