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Error estimates for thin plate spline approximation in the disk

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Publication:944230
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DOI10.1007/s00365-007-0679-8zbMath1167.41003OpenAlexW2092301599MaRDI QIDQ944230

Thomas Hangelbroek

Publication date: 12 September 2008

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-007-0679-8

zbMATH Keywords

radial basis functionsapproximation orderthin-plate splines


Mathematics Subject Classification ID

Spline approximation (41A15)


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Radial basis functions methods for boundary value problems: performance comparison, On a Polyharmonic Dirichlet Problem and Boundary Effects in Surface Spline Approximation, The polyharmonic Dirichlet problem and path counting, Polyharmonic approximation on the sphere, \(L^p\) error estimates for approximation by Sobolev splines and Wendland functions on \(\mathbb R^d\), Numerical analyses of the boundary effect of radial basis functions in 3D surface reconstruction, The penalized Lebesgue constant for surface spline interpolation, Improved exponential convergence rates by oversampling near the boundary, Approximation using scattered shifts of a multivariate function



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