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The Use of Size Functions for Comparison of Shapes Through Differential Invariants

dc.contributor.authorDibos, Françoise
dc.contributor.authorFrosini, Patrizio
dc.contributor.authorPasquignon, Denis
dc.date.accessioned2011-05-13T16:43:20Z
dc.date.available2011-05-13T16:43:20Z
dc.date.issued2004
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6286
dc.language.isoenen
dc.subjectcalculus on manifoldsen
dc.subjectnonlinear operatorsen
dc.subjectreal-valued functionsen
dc.subject.ddc519en
dc.titleThe Use of Size Functions for Comparison of Shapes Through Differential Invariantsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenFor comparison of shapes under subgroups of the projective group, we can use a lot of invariants and especially differential invariants coming from multiscale analysis. But such invariants, as we have to compute curvature, are very sensitive to the noise induced by the dicretization grid. In order to resolve this problem we use size functions which can recognize the "qualitative similarity" between graphs of functions that should be theorically coinciding but, unfortunately, change their values due to the presence of noise. Moreover, we focus this study on a projective differential invariant which allows to decide if one shape can be considered as the deformation of another one by a rotation of the camera.en
dc.relation.isversionofjnlnameJournal of Mathematical Imaging and Vision
dc.relation.isversionofjnlvol21en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2004
dc.relation.isversionofjnlpages107-118en
dc.relation.isversionofdoihttp://dx.doi.org/10.1023/B:JMIV.0000035177.68567.3ben
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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