The convexity of quadratic parametric triangular Bernstein-Bézier surfaces

DOI10.1016/0167-8396(91)90045-DzbMath0724.65010MaRDI QIDQ758092

Yuan Cao, Xuan-ji Hua

Publication date: 1991

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

zbMATH Keywords

convexityGaussian curvatureaffine transformationconvex surfacesquadratic parametric triangular Bernstein-Bézier surfaces

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Surfaces in Euclidean and related spaces (53A05) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items

Surface fitting using convex Powell-Sabin splines ⋮ Convexity and positivity of bivariate quadratic Bézier surfaces over a rectangle ⋮ Convexity preserving splines over triangulations ⋮ The convexity of parametric Bézier triangular patches of degree 2

Cites Work

• The convexity of Bernstein polynomials over triangles
• A new proof for the convexity of the Bernstein-Bézier surfaces over triangles
• Surfaces in computer aided geometric design: A survey with new results
• Convexity theorem of parametric triangular Bézier surfaces
• On the convexity of parametric Bézier triangular surfaces
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