dc.contributor.author | Chen, Wenyu | |
dc.contributor.author | Yu, Rongdong | |
dc.contributor.author | Zheng, Jianmin | |
dc.contributor.author | Cai, Yiyu | |
dc.contributor.author | Au, Chi Kit | |
dc.date.accessioned | 2011-05-12T23:48:05Z | |
dc.date.available | 2011-05-12T23:48:05Z | |
dc.date.issued | 2011 | |
dc.identifier.citation | Chen, W., Yu, R., Zheng, J., Cai, Y. & Au, C.K. (2011). Triangular Bézier sub-surfaces on a triangular Bézier surface. Journal of Computational and Applied Mathematics, available online 4 May 2011. | en_NZ |
dc.identifier.uri | https://hdl.handle.net/10289/5330 | |
dc.description.abstract | This paper considers the problem of computing the Bézier representation for a triangular sub-patch on a triangular Bézier surface. The triangular sub-patch is defined as a composition of the triangular surface and a domain surface that is also a triangular Bézier patch. Based on de Casteljau recursions and shifting operators, previous methods express the control points of the triangular sub-patch as linear combinations of the construction points that are constructed from the control points of the triangular Bézier surface. The construction points contain too many redundancies. This paper derives a simple explicit formula that computes the composite triangular sub-patch in terms of the blossoming points that correspond to distinct construction points and then an efficient algorithm is presented to calculate the control points of the sub-patch. | en_NZ |
dc.format.mimetype | application/pdf | |
dc.language.iso | en | |
dc.publisher | Elsevier | en_NZ |
dc.rights | This is an author’s accepted version of an article published in the journal: Journal of Computational and Applied Mathematics. © 2011 Elsevier. | en_NZ |
dc.subject | composition | en_NZ |
dc.subject | sub-patches | en_NZ |
dc.subject | Bézier representation | en_NZ |
dc.subject | triangular surfaces | en_NZ |
dc.subject | de Casteljau algorithm | en_NZ |
dc.subject | blossoming | en_NZ |
dc.title | Triangular Bézier sub-surfaces on a triangular Bézier surface | en_NZ |
dc.type | Journal Article | en_NZ |
dc.identifier.doi | 10.1016/j.cam.2011.04.030 | en_NZ |
dc.relation.isPartOf | Journal of Computational and Applied Mathematics | en_NZ |
pubs.begin-page | 5001 | en_NZ |
pubs.elements-id | 35934 | |
pubs.end-page | 5016 | en_NZ |
pubs.issue | 17 | en_NZ |
pubs.volume | 235 | en_NZ |