Lower semicontinuity of the affine total variation used in image segmentation

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dc.contributor.authorBallester, Coloma
dc.contributor.authorCaselles, Vicente
dc.contributor.authorGonzález Hidalgo, Manuel
dc.date.accessioned2021-03-25T09:26:30Z
dc.date.available2021-03-25T09:26:30Z
dc.date.issued1998
dc.description.abstractWe study the Affine Total Variation, a magnitude measuring the affine complexity of finite unions of continua, in particular, Jordan curves, appearing in an affine invariant analogue of Mumford-Shah energy functional used to segment images. We prove a lower semicontinuity result for the ATV functional.en
dc.description.sponsorshipPartially supported by Ee project MMIP, reference ERBCHRXCT930095 and DGICYT project, reference PB94-1174.
dc.format.mimetypeapplication/pdf
dc.identifier.citationBallester C, Caselles V, González M. Lower semicontinuity of the affine total variation used in image segmentation. Revista de la Unión Matemática Argentina. 1998 Jan;41(1):41-60.
dc.identifier.issn0041-6932
dc.identifier.urihttp://hdl.handle.net/10230/46936
dc.language.isoeng
dc.publisherUnión Matemática Argentina
dc.relation.ispartofRevista de la Unión Matemática Argentina. 1998 Jan;41(1):41-60
dc.rightsLicensed under a Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/)
dc.rights.accessRightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.subject.keywordImage segmentationen
dc.subject.keywordAfline invarianceen
dc.subject.keywordVariational metiloden
dc.subject.keywordContinuumen
dc.subject.keywordHausdorff measureen
dc.titleLower semicontinuity of the affine total variation used in image segmentationen
dc.typeinfo:eu-repo/semantics/article
dc.type.versioninfo:eu-repo/semantics/publishedVersion

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