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dc.contributor.authorFadili, Jalal
dc.contributor.authorPeyré, Gabriel
dc.date.accessioned2011-06-15T14:09:00Z
dc.date.available2011-06-15T14:09:00Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6508
dc.language.isoenen
dc.subjectinpaintingen
dc.subjectcompressed sensingen
dc.subjectdenoisingen
dc.subjectdeconvolutionen
dc.subjectDouglas-Rachforden
dc.subjectgroup sparsityen
dc.subjectimage processingen
dc.subjectSparsityen
dc.subject.ddc621.3en
dc.titleGroup Sparsity with Overlapping Partition Functionsen
dc.typeCommunication / Conférence
dc.contributor.editoruniversityotherGroupe de Recherche en Informatique, Image, Automatique et Instrumentation de Caen (GREYC);France
dc.description.abstractenThis paper introduces a novel and versatile group sparsity prior for denoising and to regularize inverse problems. The sparsity is enforced through arbitrary block-localization operators, such as for instance smooth localized partition functions. The resulting blocks can have an arbitrary overlap, which is important to reduce visual artifacts thanks to the increased translation invariance of the prior. They are moreover not necessarily binary, and allow for non-integer block sizes. We develop two schemes, one primal and another primal-dual, originating from the non-smooth convex optimization realm, to efficiently solve a wide class of inverse problems regularized using this overlapping group sparsity prior. This scheme is flexible enough to handle both penalized and constrained versions of the optimization problems at hand. Numerical results on denoising and compressed sensing are reported and show the improvement brought by the overlap and the smooth partition functions with respect to classical group sparsity.en
dc.identifier.citationpages5en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00597771/fr/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelTraitement du signalen
dc.relation.conftitleEUSIPCO 2011en
dc.relation.confdate2011-08
dc.relation.confcityBarceloneen
dc.relation.confcountryEspagneen


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