Lagrange interpolations using bivariate \(C^{2}\) quintic supersplines on double Clough-Tocher refinements

DOI10.1016/j.camwa.2009.07.051zbMath1189.65027OpenAlexW2029117450MaRDI QIDQ979886

Huan-Wen Liu, Le-Le Fan

Publication date: 28 June 2010

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2009.07.051

zbMATH Keywords

bivariate quintic supersplinedouble clough-tocher refinementLagrange interpolation pairlocal Lagrange interpolation set

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Interpolation in approximation theory (41A05) Spline approximation (41A15)

Related Items (1)

Local Lagrange interpolations using bivariate \(C^2\) splines of degree seven on triangulated quadrangulations

Cites Work

• Lagrange interpolation by \(C^1\) cubic splines on triangulated quadrangulations
• Lagrange interpolation by bivariate \(C^1\)-splines with optimal approximation order
• A bivariate \(C^ 2\) Clough-Tocher scheme
• Upper and lower bounds on the dimension of superspline spaces
• Spline Functions on Triangulations
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