Conversion of biquadratic rational Bézier surfaces into patches of particular Dupin cyclides: the torus and the double sphere

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dc.contributor.authorGarnier, Lionel
dc.contributor.authorBelbis, Bertrand
dc.contributor.authorFoufou, Sebti
dc.contributor.editorMin, Chen
dc.contributor.editorSkala, Václav
dc.date.accessioned2014-04-23T05:38:53Z
dc.date.available2014-04-23T05:38:53Z
dc.date.issued2009
dc.description.abstractToruses and double spheres are particular cases of Dupin cyclides. In this paper, we study the conversion of rational biquadratic B´ezier surfaces into Dupin cyclide patches. We give the conditions that the B´ezier surface should satisfy to be convertible, and present a new conversion algorithm to construct the torus or double sphere patch corresponding to a given Bézier surface, some conversion examples are illustrated and commented.en
dc.format8 s.cs
dc.format.mimetypeapplication/pdf
dc.identifier.citationWSCG '2009: Communication Papers Proceedings: The 17th International Conference in Central Europe on Computer Graphics, Visualization and Computer Vision in co-operation with EUROGRAPHICS: University of West Bohemia, Plzen, Czech Republic, February 2 - 5, 2009, p. 101-108.en
dc.identifier.isbn978-80-86943-94-7
dc.identifier.urihttp://wscg.zcu.cz/WSCG2009/Papers_2009/!_WSCG2009_Short_final.zip
dc.identifier.urihttp://hdl.handle.net/11025/11089
dc.language.isoenen
dc.publisherVáclav Skala - UNION Agencycs
dc.relation.ispartofseriesWSCG '2009: Communication Papers Proceedingsen
dc.rights© Václav Skala - UNION Agencycs
dc.rights.accessopenAccessen
dc.subjectBéziérovy plochycs
dc.subjectDupinovy cyklidycs
dc.subjecttoruscs
dc.subject.translatedBézier surfacesen
dc.subject.translatedDupin cyclidesen
dc.subject.translatedtorusen
dc.titleConversion of biquadratic rational Bézier surfaces into patches of particular Dupin cyclides: the torus and the double sphereen
dc.typekonferenční příspěvekcs
dc.typeconferenceObjecten
dc.type.driverinfo:eu-repo/semantics/conferenceObjecten
dc.type.driverinfo:eu-repo/semantics/publishedVersionen
dc.type.statusPeer-revieweden
dc.type.versionpublishedVersionen

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