On convexity of piecewise polynomial functions on triangulations

DOI10.1016/0167-8396(89)90022-8zbMath0675.41029OpenAlexW1999071517WikidataQ127212201 ScholiaQ127212201MaRDI QIDQ1122074

Thomas A. Grandine

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0167-8396(89)90022-8

zbMATH Keywords

triangulationsbivariate splineBézier triangles

Mathematics Subject Classification ID

Spline approximation (41A15)

Related Items

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Cites Work

• The convexity of Bernstein polynomials over triangles
• An improved condition for the convexity of Bernstein-Bézier surfaces over triangles
• Bounds on the dimension of spaces of multivariate piecewise polynomials
• The dimension of bivariate spline spaces of smoothness r for degree \(d\geq 4r+1\)
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