BERNSTEIN-BEZIER POLYNOMIALS ON SPHERES AND SPHERE-LIKE SURFACES

Authors
ALFELD P NEAMTU M SCHUMAKER LL
Citation
P. Alfeld et al., BERNSTEIN-BEZIER POLYNOMIALS ON SPHERES AND SPHERE-LIKE SURFACES, Computer aided geometric design, 13(4), 1996, pp. 333-349
Citations number
17
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
13
Issue
4
Year of publication
1996
Pages
333 - 349
Database
ISI
SICI code
0167-8396(1996)13:4<333:BPOSAS>2.0.ZU;2-E
Abstract
In this paper we discuss a natural way to define barycentric coordinat es on general sphere-like surfaces. This leads to a theory of Bernstei n-Bezier polynomials which parallels the familiar planar case. Our con structions are based on a study of homogeneous polynomials on trihedra in R(3). The special case of Bernstein-Bezier polynomials on a sphere is considered in detail.