The relation between rats-splines and the catmull and clark b-splines

dc.contributor.authorSavva, Andreas
dc.contributor.authorClapworthy, Gordon J.
dc.contributor.editorSkala, Václav
dc.date.accessioned2015-09-21T08:50:48Z
dc.date.available2015-09-21T08:50:48Z
dc.date.issued2001
dc.description.abstract-translatedThis paper presents the relationship between the Recursive Arbitrary Topology Splines (RATS) method, derived by the authors, and the Catmull and Clark recursive B-Spline method. Both methods are capable of defining surfaces of any arbitrary topology of control points. They "fill-in" n-sided regions with foursided patches. The Catmull & Clark method is derived from the midpoint subdivision of B-splines whereas the RATS method is derived from the midpoint subdivision of Bézier splines. RATS generates an additional set of patches defining the border of the surface but the RATS inner surface is identical to the Catmull and Clark surface. This paper illustrates this relationship between the two methods.en
dc.format6 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationJournal of WSCG. 2001, vol. 9, no. 1-3.en
dc.identifier.issn1213-6972 (print)
dc.identifier.issn1213-6980 (CD-ROM)
dc.identifier.issn1213-6964 (online)
dc.identifier.urihttp://hdl.handle.net/11025/15789
dc.identifier.urihttp://wscg.zcu.cz/wscg2001/WSCG2001_Program.htm
dc.language.isoenen
dc.publisherVáclav Skala - UNION Agencycs
dc.relation.ispartofseriesJournal of WSCGen
dc.rights© Václav Skala - UNION Agencycs
dc.rights.accessopenAccessen
dc.subjectplošné modelovánícs
dc.subjectrekurzivní drážkovánícs
dc.subjectgeometrické tvarycs
dc.subject.translatedsurface modellingen
dc.subject.translatedrecursive splinesen
dc.subject.translatedgeometric designen
dc.titleThe relation between rats-splines and the catmull and clark b-splinesen
dc.typečlánekcs
dc.typearticleen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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