Polyharmonic approximation on the sphere

DOI10.1007/s00365-010-9093-8zbMath1213.41009arXiv0811.4175OpenAlexW2088738515MaRDI QIDQ623351

Thomas Hangelbroek

Publication date: 14 February 2011

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

Full work available at URL: https://arxiv.org/abs/0811.4175

zbMATH Keywords

Sobolev spaceBesov spacesurface splinepositive definite kernelpolyharmonic kernel

Mathematics Subject Classification ID

Rate of convergence, degree of approximation (41A25)

Related Items (3)

Polyharmonic and related kernels on manifolds: interpolation and approximation ⋮ Surface spline approximation on \(SO(3)\) ⋮ Sparse data interpolation and smoothing on embedded submanifolds

Cites Work

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• Continuous and discrete least-squares approximation by radial basis functions on spheres
• Error estimates for thin plate spline approximation in the disk
• A Duchon framework for the sphere
• \(L_{p}\)-error estimates for radial basis function interpolation on the sphere
• Approximation properties of zonal function networks using scattered data on the sphere
• Spherical harmonics
• Approximation by periodic spline interpolants on uniform meshes
• Approximation using scattered shifts of a multivariate function
• EVALUATION OF SOME INTEGRALS ARISING FROM APPROXIMATION ON THE SPHERE USING RADIAL BASIS FUNCTIONS
• Spline Interpolation and Smoothing on the Sphere
• Error estimates for scattered data interpolation on spheres
• Mercer’s Theorem, Feature Maps, and Smoothing
• Scattered Data Approximation

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