Three recipes for quasi-interpolation with cubic Powell-Sabin splines

DOI10.1016/j.cagd.2018.10.002zbMath1505.65026OpenAlexW2895306022WikidataQ129151577 ScholiaQ129151577MaRDI QIDQ668999

Jan Grošelj, Hendrik Speleers

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.2018.10.002

zbMATH Keywords

quasi-interpolationcubic B-spline basiscubic powell-sabin splinescubic precisionlocal super-smoothness

Mathematics Subject Classification ID

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

Related Items (9)

A construction of a bivariate \(C^2\) spline approximant with minimal degree on arbitrary triangulation ⋮ Argyris type quasi-interpolation of optimal approximation order ⋮ On stable representations of Bell elements ⋮ Super-smooth cubic Powell-Sabin splines on three-directional triangulations: B-spline representation and subdivision ⋮ A construction of edge B-spline functions for a \(C^1\) polynomial spline on two triangles and its application to Argyris type splines ⋮ Cubature rules based on bivariate spline quasi-interpolation for weakly singular integrals ⋮ Interpolation with \(C^2\) quartic macro-elements based on \(10\)-splits ⋮ Quasi-interpolation for analysis-suitable T-splines ⋮ On \(C^2\) cubic quasi-interpolating splines and their computation by subdivision via blossoming

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