Conversion between triangular and rectangular Bezier patches

Authors
Hu, SM
Citation
Sm. Hu, Conversion between triangular and rectangular Bezier patches, COMP AID G, 18(7), 2001, pp. 667-671
Citations number
9
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTER AIDED GEOMETRIC DESIGN
ISSN journal
01678396 → ACNP
Volume
18
Issue
7
Year of publication
2001
Pages
667 - 671
Database
ISI
SICI code
0167-8396(200109)18:7<667:CBTARB>2.0.ZU;2-Q
Abstract
This paper presents an explicit formula that converts a triangular Bezier p atch of degree n to a degenerate rectangular Bezier patch of degree n x n b y reparametrization. Based on this formula, we develop a method for approxi mating a degenerate rectangular Bezier patch by three nondegenerate Bezier patches; more patches can be introduced by subdivision to meet a user-speci fied error tolerance. (C) 2001 Elsevier Science B.V. All rights reserved.