THE HYBRID QUINTIC BEZIER TETRAHEDRON

Authors
FOLEY TA WOLTERS HJ
Citation
Ta. Foley et Hj. Wolters, THE HYBRID QUINTIC BEZIER TETRAHEDRON, Computer aided geometric design, 14(7), 1997, pp. 603-618
Citations number
17
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
14
Issue
7
Year of publication
1997
Pages
603 - 618
Database
ISI
SICI code
0167-8396(1997)14:7<603:THQBT>2.0.ZU;2-B
Abstract
The focus of this paper is the construction of a new tetrahedral patch , which allows an explicit representation but does not require a split of the domain tetrahedra. The patch will be represented as a rational convex combination of a quintic Bezier tetrahedron, where the four in ner Bezier points are duplicated. It can be regarded as generalization of the hybrid cubic triangular Bezier patch. The patch is used to rep resent a C-1 trivariate scattered data interpolant to data sampled in a volume. (C) 1997 Elsevier Science B.V.