Radial basis functions under tension

DOI10.1016/j.jat.2004.03.005zbMath1051.65008OpenAlexW2079647362MaRDI QIDQ596822

Alain Le Méhauté, Abderrahman Bouhamidi

Publication date: 10 August 2004

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jat.2004.03.005

zbMATH Keywords

error estimatesnumerical examplesradial basis functionsmultivariate interpolationconditionally positive definite functionsscattered data interpolationsplines under tension

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Numerical interpolation (65D05) Spline approximation (41A15)

Related Items (6)

WEIGHTED THIN PLATE SPLINES ⋮ A meshless RBF method for computing a numerical solution of unsteady Burgers'-type equations ⋮ Approximation of 3D trapezoidal fuzzy data using radial basis functions ⋮ Reproducing kernels of generalized Sobolev spaces via a Green function approach with distributional operators ⋮ A meshless method for the numerical computation of the solution of steady Burgers-type equations ⋮ Fitting and filling of 3D datasets with volume constraints using radial basis functions under tension

Cites Work

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• Conditionally positive definite functions and Laplace-Stieltjes integrals
• On power functions and error estimates for radial basis function interpolation
• Multivariate interpolating \((m,\ell,s)\)-splines
• Sous-espaces d'espaces vectoriels topologiques et noyaux associés. (Noyaux reproduisants.)
• Multivariate Interpolation and Conditionally Positive Definite Functions. II
• An Interpolation Curve Using a Spline in Tension

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