Better bases for radial basis function interpolation problems

DOI10.1016/j.cam.2011.06.030zbMath1231.65021OpenAlexW2057476877MaRDI QIDQ651100

C. T. Mouat, Jeremy Levesley, Rick K. Beatson

Publication date: 8 December 2011

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.2011.06.030

zbMATH Keywords

interpolationpreconditioningscalingbasesloss of significance

Mathematics Subject Classification ID

Numerical interpolation (65D05) Preconditioners for iterative methods (65F08)

Related Items (9)

Quasi-interpolation scheme for arbitrary dimensional scattered data approximation based on natural neighbors and RBF interpolation ⋮ Wiener-Hopf difference equations and semi-cardinal interpolation with integrable convolution kernels ⋮ Better bases for radial basis function interpolation problems ⋮ A new stable basis for radial basis function interpolation ⋮ A Domain Decomposition Multilevel Preconditioner for Interpolation with Radial Basis Functions ⋮ Towards RBF Interpolation on Heterogeneous HPC Systems ⋮ Cardinal interpolation with general multiquadrics ⋮ Implicit surface reconstruction based on generalized radial basis functions interpolant with distinct constraints ⋮ Sparse radial basis function approximation with spatially variable shape parameters

Cites Work

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• Better bases for radial basis function interpolation problems
• A Newton basis for kernel spaces
• Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices
• Miscellaneous error bounds for multiquadric and related interpolators
• Mean value coordinates
• Kernel \(B\)-splines and interpolation
• Multiquadric \(B\)-splines
• Mean value coordinates in 3D
• Fast Solution of the Radial Basis Function Interpolation Equations: Domain Decomposition Methods
• Numerical Procedures for Surface Fitting of Scattered Data by Radial Functions
• Computation of Thin-Plate Splines
• Fast evaluation of radial basis functions: methods for two-dimensional polyharmonic splines

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