Optimal Lagrange interpolation by quartic \(C^1\) splines on triangulations

DOI10.1016/j.cam.2007.05.013zbMath1156.65009OpenAlexW2140595055MaRDI QIDQ929937

Charles K. Chui, Gero Hecklin, Frank Zeilfelder, Günther Nürnberger

Publication date: 19 June 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2007.05.013

zbMATH Keywords

bivariate splineslocal Lagrange interpolationoptimal approximation orderrefinement of triangulations

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical aspects of computer graphics, image analysis, and computational geometry (65D18) Numerical interpolation (65D05) Multidimensional problems (41A63) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items

Increasing the approximation order of spline quasi-interpolants ⋮ An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations ⋮ Optimal bivariate \(C^{1}\) cubic quasi-interpolation on a type-2 triangulation ⋮ An explicit quasi-interpolation scheme based on \(C^1\) quartic splines on type-1 triangulations ⋮ An interpolation method by bivariate cubic splines with c 2-join on type-II triangulars at a rectangular domain ⋮ Adaptive quasi-interpolating quartic splines ⋮ A family of smooth quasi-interpolants defined over Powell-Sabin triangulations

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