GEOMETRIC CONTINUITY BETWEEN ADJACENT BEZIER PATCHES AND THEIR CONSTRUCTIONS

Authors
YE XZ LIANG YD NOWACKI H
Citation
Xz. Ye et al., GEOMETRIC CONTINUITY BETWEEN ADJACENT BEZIER PATCHES AND THEIR CONSTRUCTIONS, Computer aided geometric design, 13(6), 1996, pp. 521-548
Citations number
41
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
13
Issue
6
Year of publication
1996
Pages
521 - 548
Database
ISI
SICI code
0167-8396(1996)13:6<521:GCBABP>2.0.ZU;2-D
Abstract
In this paper, the necessary and sufficient conditions for two adjacen t Bezier surface patches of arbitrary degrees joining G(n)-continuousl y along a common boundary curve are presented. These conditions are re presented directly by the two surface patches, or via an intermediate surface patch. Configurations of the coefficient functions attached to the adjacent Bezier patches are obtained. Based on these results, an algorithm to compute the order of continuity between two given Bezier patches along a common boundary curve is presented. The G(n) compatibi lity conditions which involve the coefficient functions and the contro l points of the two adjacent Bezier patches are developed. Examples fo r the construction of G(1)- and G(2)-continuous Bezier patches are giv en to illustrate the conditions developed.