Convexity of Bézier nets on triangulations

DOI10.1016/0167-8396(91)90043-BzbMath0731.41009OpenAlexW1989699150MaRDI QIDQ807883

Tim N. T. Goodman

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1016/0167-8396(91)90043-b

zbMATH Keywords

Bézier nets

Mathematics Subject Classification ID

Approximation by polynomials (41A10)

Related Items (7)

Convexity of parametric Bézier surfaces in terms of Gaussian curvature signatures ⋮ On convex Bézier triangles ⋮ Shape criteria of Bernstein-Bézier polynomials over simplexes ⋮ Convexity of Bézier nets on sub-triangles ⋮ Bézier nets, convexity and subdivision on higher-dimensional simplices ⋮ Convexity preserving splines over triangulations ⋮ The invariance of weak convexity conditions of \(B\)-nets with respect to subdivision

Cites Work

• Unnamed Item
• The convexity of Bernstein polynomials over triangles
• On convexity of piecewise polynomial functions on triangulations
• Variation diminishing properties of Bernstein polynomials on triangles

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