Simplex-splines on the Clough-Tocher element

DOI10.1016/j.cagd.2018.07.004zbMath1505.65029OpenAlexW2782584536WikidataQ129466588 ScholiaQ129466588MaRDI QIDQ668986

Jean-Louis Merrien, Tom Lyche

Publication date: 20 March 2019

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

Full work available at URL: https://doi.org/10.1016/j.cagd.2018.07.004

zbMATH Keywords

interpolationpiecewise polynomialssimplex splinesMarsden-like identitytriangle mesh

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items

A construction of a bivariate \(C^2\) spline approximant with minimal degree on arbitrary triangulation, B-spline-like bases for \(C^2\) cubics on the Powell-Sabin 12-split, Argyris type quasi-interpolation of optimal approximation order, A local simplex Spline basis for \(C^3\) quartic splines on arbitrary triangulations, Extraction and application of super-smooth cubic B-splines over triangulations, Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision, Construction of \(C^2\) cubic splines on arbitrary triangulations, Simplex-splines on the Clough-Tocher split with arbitrary smoothness

Cites Work

• Stable simplex spline bases for \(C^3\) quintics on the Powell-Sabin 12-split
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• A B-spline-like basis for the Powell-Sabin 12-split based on simplex splines
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• Piecewise Quadratic Approximations on Triangles
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