dc.contributor.author | Lyche, Tom | |
dc.contributor.author | Muntingh, Agnar Georg Peder | |
dc.date.accessioned | 2017-12-19T08:04:53Z | |
dc.date.available | 2017-12-19T08:04:53Z | |
dc.date.created | 2015-01-06T11:50:35Z | |
dc.date.issued | 2014 | |
dc.identifier.citation | Computer Aided Geometric Design. 2014, 31 (7-8), 464-474. | nb_NO |
dc.identifier.issn | 0167-8396 | |
dc.identifier.uri | http://hdl.handle.net/11250/2472670 | |
dc.description.abstract | In 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.iso | eng | nb_NO |
dc.title | A Hermite interpolatory subdivision scheme for C2-quintics on the Powell-Sabin 12-split | nb_NO |
dc.type | Journal article | nb_NO |
dc.type | Peer reviewed | nb_NO |
dc.description.version | acceptedVersion | |
dc.source.pagenumber | 464-474 | nb_NO |
dc.source.volume | 31 | nb_NO |
dc.source.journal | Computer Aided Geometric Design | nb_NO |
dc.source.issue | 7-8 | nb_NO |
dc.identifier.doi | 10.1016/j.cagd.2014.03.004 | |
dc.identifier.cristin | 1191438 | |
dc.relation.project | Norges forskningsråd: 222335 | nb_NO |
cristin.unitcode | 7401,90,11,0 | |
cristin.unitname | Anvendt matematikk | |
cristin.ispublished | true | |
cristin.fulltext | postprint | |
cristin.qualitycode | 2 | |