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dc.contributor.authorLyche, Tom
dc.contributor.authorMuntingh, Agnar Georg Peder
dc.date.accessioned2017-12-19T08:04:53Z
dc.date.available2017-12-19T08:04:53Z
dc.date.created2015-01-06T11:50:35Z
dc.date.issued2014
dc.identifier.citationComputer Aided Geometric Design. 2014, 31 (7-8), 464-474.nb_NO
dc.identifier.issn0167-8396
dc.identifier.urihttp://hdl.handle.net/11250/2472670
dc.description.abstractIn order to construct a C1C1-quadratic spline over an arbitrary triangulation, one can split each triangle into 12 subtriangles, resulting in a finer triangulation known as the Powell–Sabin 12-split. It has been shown previously that the corresponding spline surface can be plotted quickly by means of a Hermite subdivision scheme (Dyn and Lyche, 1998). In this paper we introduce a nodal macro-element on the 12-split for the space of quintic splines that are locally C3C3 and globally C2C2. For quickly evaluating any such spline, a Hermite subdivision scheme is derived, implemented, and tested in the computer algebra system Sage. Using the available first derivatives for Phong shading, visually appealing plots can be generated after just a couple of refinements
dc.language.isoengnb_NO
dc.titleA Hermite interpolatory subdivision scheme for C2-quintics on the Powell-Sabin 12-splitnb_NO
dc.typeJournal articlenb_NO
dc.typePeer reviewednb_NO
dc.description.versionacceptedVersion
dc.source.pagenumber464-474nb_NO
dc.source.volume31nb_NO
dc.source.journalComputer Aided Geometric Designnb_NO
dc.source.issue7-8nb_NO
dc.identifier.doi10.1016/j.cagd.2014.03.004
dc.identifier.cristin1191438
dc.relation.projectNorges forskningsråd: 222335nb_NO
cristin.unitcode7401,90,11,0
cristin.unitnameAnvendt matematikk
cristin.ispublishedtrue
cristin.fulltextpostprint
cristin.qualitycode2


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