Locally supported kernels for spherical spline interpolation

DOI10.1006/jath.1997.3037zbMath0877.41008OpenAlexW2053427066MaRDI QIDQ1356799

Michael Schreiner

Publication date: 1997

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

Full work available at URL: https://semanticscholar.org/paper/fc10ee6dbbd48c38ad9bb24ed929c2e6de552194

zbMATH Keywords

interpolationspherical harmonicsGegenbauer polynomialsreproducing kernelsspherical spline

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Interpolation in approximation theory (41A05) Spline approximation (41A15) Spherical harmonics (33C55) Approximation by other special function classes (41A30)

Related Items (10)

A Tree Algorithm for Isotropic Finite Elements on the Sphere ⋮ Strictly and non-strictly positive definite functions on spheres ⋮ Relation between Hardy components for locally supported vector fields on the sphere ⋮ On the Recovery of Core and Crustal Components of Geomagnetic Potential Fields ⋮ Convolution roots and differentiability of isotropic positive definite functions on spheres ⋮ Fast and accurate interpolation of large scattered data sets on the sphere ⋮ Locally supported approximate identities on the unit ball ⋮ Fast summation of radial functions on the sphere ⋮ A Numerical Framework for Efficient Motion Estimation on Evolving Sphere-Like Surfaces Based on Brightness and Mass Conservation Laws ⋮ Geodetic Observables and Their Mathematical Treatment in Multiscale Framework

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