The convexity of parametric Bézier triangular patches of degree 2

DOI10.1016/0167-8396(93)90028-2zbMath0794.65011OpenAlexW2143735187MaRDI QIDQ1315797

Jinjin Zheng

Publication date: 31 August 1994

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

Full work available at URL: https://doi.org/10.1016/0167-8396(93)90028-2

zbMATH Keywords

convexityquadratic triangular Bézier patch

Mathematics Subject Classification ID

Computer-aided design (modeling of curves and surfaces) (65D17) Convex sets in (3) dimensions (including convex surfaces) (52A15)

Related Items (1)

Convexity preserving splines over triangulations

Cites Work

• The convexity of quadratic parametric triangular Bernstein-Bézier surfaces
• The convexity of Bernstein polynomials over triangles
• An improved condition for the convexity of Bernstein-Bézier surfaces over triangles
• A survey of curve and surface methods in CAGD
• A geometric interpretation of convexity conditions for surfaces
• On the convexity of parametric Bézier triangular surfaces

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