A weak condition for the convexity of tensor-product Bézier and B- spline surfaces

DOI10.1007/BF02519036zbMath0828.65011OpenAlexW2060036349MaRDI QIDQ1895901

Michael S. Floater

Publication date: 15 January 1996

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

Full work available at URL: https://doi.org/10.1007/bf02519036

zbMATH Keywords

convexitytensor-product B-spline surfacetensor-product Bézier surface

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15) Computer-aided design (modeling of curves and surfaces) (65D17)

Related Items (4)

Surface fitting using convex tensor-product splines ⋮ Linear convexity conditions for rectangular and triangular Bernstein-Bézier surfaces ⋮ Convexity preserving splines over triangulations ⋮ On zero curves of bivariate polynomials

Cites Work

• The convexity of Bernstein polynomials over triangles
• An improved condition for the convexity of Bernstein-Bézier surfaces over triangles
• On calculating with B-splines
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