Lower semicontinuity of the affine total variation used in image segmentation
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- dc.contributor.author Ballester, Coloma
- dc.contributor.author Caselles, Vicente
- dc.contributor.author González Hidalgo, Manuel
- dc.date.accessioned 2021-03-25T09:26:30Z
- dc.date.available 2021-03-25T09:26:30Z
- dc.date.issued 1998
- dc.description.abstract We 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.sponsorship Partially supported by Ee project MMIP, reference ERBCHRXCT930095 and DGICYT project, reference PB94-1174.
- dc.format.mimetype application/pdf
- dc.identifier.citation Ballester 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.issn 0041-6932
- dc.identifier.uri http://hdl.handle.net/10230/46936
- dc.language.iso eng
- dc.publisher Unión Matemática Argentina
- dc.relation.ispartof Revista de la Unión Matemática Argentina. 1998 Jan;41(1):41-60
- dc.rights Licensed under a Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/)
- dc.rights.accessRights info:eu-repo/semantics/openAccess
- dc.rights.uri https://creativecommons.org/licenses/by/4.0/
- dc.subject.keyword Image segmentationen
- dc.subject.keyword Afline invarianceen
- dc.subject.keyword Variational metiloden
- dc.subject.keyword Continuumen
- dc.subject.keyword Hausdorff measureen
- dc.title Lower semicontinuity of the affine total variation used in image segmentationen
- dc.type info:eu-repo/semantics/article
- dc.type.version info:eu-repo/semantics/publishedVersion