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Least Squares Subdivision Surfaces

hal.structure.identifierLaboratoire Bordelais de Recherche en Informatique [LaBRI]
hal.structure.identifierVisualization and manipulation of complex data on wireless mobile devices [IPARLA ]
dc.contributor.authorBOYÉ, Simon
hal.structure.identifierLaboratoire Bordelais de Recherche en Informatique [LaBRI]
hal.structure.identifierVisualization and manipulation of complex data on wireless mobile devices [IPARLA ]
dc.contributor.authorGUENNEBAUD, Gael
hal.structure.identifierLaboratoire Bordelais de Recherche en Informatique [LaBRI]
hal.structure.identifierVisualization and manipulation of complex data on wireless mobile devices [IPARLA ]
dc.contributor.authorSCHLICK, Christophe
dc.date.accessioned2024-04-15T09:49:04Z
dc.date.available2024-04-15T09:49:04Z
dc.date.issued2010-11-01
dc.identifier.issn0167-7055
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/198227
dc.description.abstractEnThe usual approach to design subdivision schemes for curves and surfaces basically consists in combining proper rules for regular configurations, with some specific heuristics to handle extraordinary vertices. In this paper, we introduce an alternative approach, called Least Squares Subdivision Surfaces (LS^3), where the key idea is to iteratively project each vertex onto a local approximation of the current polygonal mesh. While the resulting procedure have the same complexity as simpler subdivision schemes, our method offers much higher visual quality, especially in the vicinity of extraordinary vertices. Moreover, we show it can be easily generalized to support boundaries and creases. The fitting procedure allows for a local control of the surface from the normals, making LS^3 very well suited for interactive freeform modeling applications. We demonstrate our approach on diadic triangular and quadrangular refinement schemes, though it can be applied to any splitting strategies.
dc.language.isoen
dc.publisherWiley
dc.titleLeast Squares Subdivision Surfaces
dc.typeArticle de revue
dc.subject.halInformatique [cs]/Synthèse d'image et réalité virtuelle [cs.GR]
bordeaux.journalComputer Graphics Forum
bordeaux.volume29
bordeaux.hal.laboratoriesLaboratoire Bordelais de Recherche en Informatique (LaBRI) - UMR 5800*
bordeaux.issue7
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierinria-00524555
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//inria-00524555v1
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