An improved condition for the convexity and positivity of Bernstein- Bézier surfaces over triangles

DOI10.1016/0167-8396(88)90008-8zbMath0714.41010OpenAlexW1995449678MaRDI QIDQ750783

Zhengbin Wang, Qi-Ming Liu

Publication date: 1988

Published in: Computer Aided Geometric Design (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0167-8396(88)90008-8

zbMATH Keywords

Positivityconvexity of the Bernstein-Bézier polynomials

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items

Surface fitting using convex Powell-Sabin splines ⋮ Convexity of parametric Bézier surfaces in terms of Gaussian curvature signatures ⋮ Shape criteria of Bernstein-Bézier polynomials over simplexes ⋮ Nonnegativity of bivariate quadratic functions on a triangle ⋮ Convexity preserving splines over triangulations

Cites Work

• Unnamed Item
• The convexity of Bernstein polynomials over triangles
• An improved condition for the convexity of Bernstein-Bézier surfaces over triangles