GC(N) CONTINUITY CONDITIONS FOR ADJACENT RATIONAL PARAMETRIC SURFACES

Authors
ZHENG JM WANG GZ LIANG YD
Citation
Jm. Zheng et al., GC(N) CONTINUITY CONDITIONS FOR ADJACENT RATIONAL PARAMETRIC SURFACES, Computer aided geometric design, 12(2), 1995, pp. 111-129
Citations number
17
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
12
Issue
2
Year of publication
1995
Pages
111 - 129
Database
ISI
SICI code
0167-8396(1995)12:2<111:GCCFAR>2.0.ZU;2-7
Abstract
In this paper, the constraints on the homogeneous surface belonging to a certain rational surface are derived which are both necessary and s ufficient to ensure that the rational surface is nth-order geometric c ontinuous. This gives up the strong restriction that requires the homo geneous surface to be as smooth as the rational surface. Further the c onditions for the rectangular rational Bezier patches are developed, a nd some simple and practical sufficient conditions are presented which might give a valid means for the construction of GC(n) connecting sur faces.