Convexity of parametric Bézier surfaces in terms of Gaussian curvature signatures

DOI10.1007/BF02521608zbMath0826.41014OpenAlexW2078516636MaRDI QIDQ1895922

Charles K. Chui, Zheng-Xing Cheng

Publication date: 23 November 1995

Published in: Advances in Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02521608

zbMATH Keywords

convexitypositivityparametric surfaceGaussian curvaturesubdivisionsBézier net\(GC\) signaturedegree-raising

Mathematics Subject Classification ID

Approximation by operators (in particular, by integral operators) (41A35) Spline approximation (41A15)

Related Items

Convexity preserving splines over triangulations

Cites Work

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• The convexity of Bernstein polynomials over triangles
• Convexity of Bézier nets on triangulations
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• Efficient evaluation of multivariate polynomials
• Convexity theorem of parametric triangular Bézier surfaces
• A geometric interpretation of convexity conditions for surfaces
• On the convexity of parametric Bézier triangular surfaces
• On convex Bézier triangles