Multivariate Bernstein polynomials and convexity

Computer Aided Geometric Design

Volumn 8, Issue 6, 1991, Pages 465-478

  Sauer, Thomas ^a  

^a UNIVERSITY OF ERLANGEN NUREMBERG   (Germany)

Author keywords

axial convexity; Bernstein polynomials; convexity; polyhedral convexity

Indexed keywords

COMPUTER AIDED DESIGN;

BERNSTEIN POLYNOMIALS; COMPUTER AIDED GEOMETRIC DESIGN; CONVEXITY; MONOTONICITY; MULTIVARIATE POLYNOMIALS;

MATHEMATICAL TECHNIQUES;

EID: 0026406596     PISSN: 01678396     EISSN: None     Source Type: Journal    
DOI: 10.1016/0167-8396(91)90031-6     Document Type: Article

References (8)

1. Convexity and a multivariate version of the variation diminishing property of Bernstein polynomials
2. The convexity of Bernstein polynomials over triangles
3. An improved condition for the convexity of Bernstein-Bézier surfaces overtriangles
4. Convexity of multivariate Bernstein polynomials and box spline surfaces
5. Über einige Identitäten vom Bernsteinschen Typus
6. Bernsteinpolynome