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dc.contributor.authorChambolle, Antonin
dc.contributor.authorBlanc Feraud, Laure
dc.contributor.authorAujol, Jean-François
dc.contributor.authorAubert, Gilles
dc.date.accessioned2011-05-06T07:23:11Z
dc.date.available2011-05-06T07:23:11Z
dc.date.issued2005
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6187
dc.language.isoenen
dc.subjectTotal variation minimizationen
dc.subjectBVen
dc.subjectTextureen
dc.subjectRestorationen
dc.subjectSAR imagesen
dc.subjectSpeckleen
dc.subject.ddc519en
dc.titleImage decomposition into a bounded variation component and an oscillating componenten
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversité de Nice Sophia-Antipolis;
dc.description.abstractenWe construct an algorithm to split an image into a sum u + v of a bounded variation component and a component containing the textures and the noise. This decomposition is inspired froma recent work of Y.Meyer.We find this decomposition by minimizing a convex functional which depends on the two variables u and v, alternately in each variable. Each minimization is based on a projection algorithm to minimize the total variation. We carry out the mathematical study of our method. We present some numerical results. In particular, we show how the u component can be used in nontextured SAR image restoration.en
dc.relation.isversionofjnlnameJournal of Mathematical Imaging and Vision
dc.relation.isversionofjnlvol22en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2005-01
dc.relation.isversionofjnlpages71-88en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s10851-005-4783-8en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringer Netherlandsen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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