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Parabolic-cylindrical moving least squares surfaces

hal.structure.identifierMelting the frontiers between Light, Shape and Matter [MANAO]
hal.structure.identifierLaboratoire Bordelais de Recherche en Informatique [LaBRI]
dc.contributor.authorRIDEL, Brett
hal.structure.identifierMelting the frontiers between Light, Shape and Matter [MANAO]
hal.structure.identifierLaboratoire Bordelais de Recherche en Informatique [LaBRI]
dc.contributor.authorGUENNEBAUD, Gael
hal.structure.identifierLaboratoire Bordelais de Recherche en Informatique [LaBRI]
hal.structure.identifierMelting the frontiers between Light, Shape and Matter [MANAO]
dc.contributor.authorREUTER, Patrick
hal.structure.identifierLaboratoire Bordelais de Recherche en Informatique [LaBRI]
hal.structure.identifierLaboratoire Photonique, Numérique et Nanosciences [LP2N]
hal.structure.identifierMelting the frontiers between Light, Shape and Matter [MANAO]
dc.contributor.authorGRANIER, Xavier
dc.date.accessioned2023-05-12T11:00:32Z
dc.date.available2023-05-12T11:00:32Z
dc.date.created2015-05
dc.date.issued2015-06-26
dc.identifier.issn0097-8493
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/182027
dc.description.abstractEnMoving least squares (MLS) surface approximation is a popular tool for the processing and reconstruction of non-structured and noisy point clouds. This paper introduces a new variant improving the approximation quality when the underlying surface is assumed to be locally developable, which is often the case in point clouds coming from the acquisition of manufactured objects. Our approach follows Levin's classical MLS procedure: the point cloud is locally approximated by a bivariate quadratic polynomial height-field defined in a local tangent frame. The a priori developability knowledge is introduced by constraining the fitted poly-nomials to have a zero-Gaussian curvature leading to the actual fit of so-called parabolic cylinders. When the local developability assumption cannot be made unambiguously, our fitted parabolic cylinders seamlessly degenerate to linear approximations. We show that our novel MLS kernel reconstructs more locally-developable surfaces than previous MLS methods while being faithful to the data.
dc.language.isoen
dc.publisherElsevier
dc.subject.enreconstruction
dc.subject.ensquares
dc.subject.enleast
dc.subject.enmoving
dc.subject.enmls
dc.subject.enparabolic-cylinder
dc.subject.endevelopable
dc.subject.encylinder
dc.subject.enparabolic
dc.subject.en3D
dc.title.enParabolic-cylindrical moving least squares surfaces
dc.typeArticle de revue
dc.identifier.doi10.1016/j.cag.2015.05.006
dc.subject.halInformatique [cs]/Synthèse d'image et réalité virtuelle [cs.GR]
dc.subject.halInformatique [cs]/Interface homme-machine [cs.HC]
dc.description.sponsorshipEuropeVirtual Museum Transnational Network
bordeaux.journalComputers and Graphics
bordeaux.page60-66
bordeaux.volume51
bordeaux.hal.laboratoriesLaboratoire Photonique, Numérique et Nanosciences (LP2N) - UMR 5298*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01169572
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01169572v1
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