A counterexample to a theorem about the convexity of Powell--Sabin elements

DOI10.1016/S0167-8396(97)00003-4zbMath0925.68429OpenAlexW2029623324WikidataQ125022628 ScholiaQ125022628MaRDI QIDQ1392268

Michael S. Floater

Publication date: 23 July 1998

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

Full work available at URL: https://doi.org/10.1016/s0167-8396(97)00003-4

Mathematics Subject Classification ID

Computer graphics; computational geometry (digital and algorithmic aspects) (68U05)

Related Items (5)

Convexity preserving scattered data interpolation using Powell-Sabin elements ⋮ On the convexity of Bézier nets of quadratic Powell-Sabin splines on 12-fold refined triangulations ⋮ Convexity preserving splines over triangulations ⋮ Convexity preserving interpolation ⋮ Convex preserving scattered data interpolation using bivariate \(C^1\) cubic splines

Cites Work

• Unnamed Item
• Convexity preserving interpolation and Powell-Sabin elements
• Piecewise Quadratic Approximations on Triangles

This page was built for publication: A counterexample to a theorem about the convexity of Powell--Sabin elements