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Unifying local and nonlocal processing with partial difference operators on weighted graphs

dc.contributor.authorElmoataz, Abderrahim
HAL ID: 169752
dc.contributor.authorLezoray, Olivier
HAL ID: 230
dc.contributor.authorBougleux, Sébastien
dc.contributor.authorTa, Vinh Thong
dc.date.accessioned2009-07-08T10:10:03Z
dc.date.available2009-07-08T10:10:03Z
dc.date.issued2008
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/954
dc.language.isoenen
dc.subjectImage Processingen
dc.subjectComputer scienceen
dc.subject.ddc519en
dc.titleUnifying local and nonlocal processing with partial difference operators on weighted graphsen
dc.typeCommunication / Conférence
dc.contributor.editoruniversityotherCNRS - Université de Caen - Ecole Nationale Supérieure d'Ingénieurs de Cachan;France
dc.description.abstractenIn this paper, local and nonlocal image processing are unified, within the same framework, by defining discrete derivatives on weighted graphs. These discrete derivatives allow to transcribe continuous partial differential equations and energy functionals to partial difference equations and discrete functionals over weighted graphs. With this methodology, we consider two gradient-based problems: regularization and mathematical morphology. The gradient-based regularization framework allows to connect isotropic and anisotropic p-Laplacians diffusions, as well as neighborhood filtering. Within the same discrete framework, we present morphological operations that allow to recover and to extend well-known PDEs-based and algebraic operations to nonlocal configurations. Finally, experimental results show the ability and the flexibility of the proposed methodology in the context of image and unorganized data set processing.en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00329521/en/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.conftitle2008 International Workshop on Local and Non-Local Approximation in Image Processing, LNLA 2008en
dc.relation.confdate2008-08
dc.relation.confcityLausanne
dc.relation.confcountrySuisseen


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