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dc.contributor.authorBloch, Isabelle
dc.contributor.authorAtif, Jamal
dc.date.accessioned2017-02-10T14:00:13Z
dc.date.available2017-02-10T14:00:13Z
dc.date.issued2015
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/16247
dc.descriptionLecture Notes in Computer Science, Vol. 9082en
dc.language.isoenen
dc.subjectComparison of distributionsen
dc.subjectOptimal transporten
dc.subjectMathematical morphologyen
dc.subjectFuzzy mathematical morphologyen
dc.subjectHausdorffen
dc.subjectProkhoroven
dc.subjectLévy distancesen
dc.subjectSpatial relationsen
dc.subjectMachine learningen
dc.subject.ddc511; 006.3en
dc.titleHausdorff distances between distributions using optimal transport and mathematical morphologyen
dc.typeCommunication / Conférence
dc.description.abstractenIn this paper we address the question of defining and computing Hausdorff distances between distributions in a general sense. We exhibit some links between Prokhorov-Lévy distances and dilation-based distances. In particular, mathematical morphology provides an elegant way to deal with periodic distributions. The case of possibility distributions is addressed using fuzzy mathematical morphology. As an illustration, the proposed approaches are applied to the comparison of spatial relations between objects in an image or a video sequence, when these relations are represented as distributions.en
dc.identifier.citationpages522-534en
dc.relation.ispartoftitleMathematical Morphology and Its Applications to Signal and Image Processing: 12th International Symposium, ISMM 2015en
dc.relation.ispartofeditorBenediktsson, Jón Atli
dc.relation.ispartofeditorChanussot, Jocelyn
dc.relation.ispartofeditorNajman, Laurent
dc.relation.ispartofeditorTalbot, Hugues
dc.relation.ispartofpublnameSpringer International Publishingen
dc.relation.ispartofpublcityChamen
dc.relation.ispartofdate2015
dc.relation.ispartofpages754en
dc.relation.ispartofurl10.1007/978-3-319-18720-4en
dc.subject.ddclabelPrincipes généraux des mathématiques; Intelligence artificielleen
dc.relation.ispartofisbn978-3-319-18719-8en
dc.relation.conftitle12th International Symposium on Mathematical Morphologyen
dc.relation.confdate2015-05
dc.relation.confcityReykjaviken
dc.relation.confcountryIcelanden
dc.relation.forthcomingnonen
dc.identifier.doi10.1007/978-3-319-18720-4_44en
dc.description.ssrncandidatenonen
dc.description.halcandidateouien
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewednonen
dc.relation.Isversionofjnlpeerreviewednonen
dc.date.updated2017-02-10T13:24:07Z
hal.person.labIds162010
hal.person.labIds989
hal.identifierhal-01464799*


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