Subharmonicity and convexity properties of Bernstein polynomials and Bezier nets on triangles

Authors
Lorente-Pardo, J Sablonniere, P Serrano-Perez, MC
Citation
J. Lorente-pardo et al., Subharmonicity and convexity properties of Bernstein polynomials and Bezier nets on triangles, COMP AID G, 16(4), 1999, pp. 287-300
Citations number
20
Categorie Soggetti
Computer Science & Engineering
Journal title
COMPUTER AIDED GEOMETRIC DESIGN
ISSN journal
01678396 → ACNP
Volume
16
Issue
4
Year of publication
1999
Pages
287 - 300
Database
ISI
SICI code
0167-8396(199905)16:4<287:SACPOB>2.0.ZU;2-I
Abstract
This paper is devoted to the comparison of various shape properties of tria ngular Bezier surfaces and of their Bezier nets, such as polyhedral convexi ty, axial convexity and subharmonicity. In order to better compare these pr operties, the different notations used by different authors are unified. It also includes counterexamples for the results that are not true. (C) 1999 Elsevier Science B.V. All rights reserved.