Thinplate splines on the sphere

DOI10.3842/SIGMA.2018.083zbMath1400.41009arXiv1801.01313WikidataQ129371446 ScholiaQ129371446MaRDI QIDQ1671685

Rick K. Beatson, Wolfgang Zu Castell

Publication date: 7 September 2018

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1801.01313

zbMATH Keywords

Gegenbauer polynomialspositive definite functionsultraspherical expansionszonal functionsthinplate splines

Mathematics Subject Classification ID

Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Positive definite functions in one variable harmonic analysis (42A82) Spline approximation (41A15)

Related Items (2)

A note on the derivatives of isotropic positive definite functions on the Hilbert sphere ⋮ Pólya-type criteria for conditional strict positive definiteness of functions on spheres

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Strictly and non-strictly positive definite functions on spheres
• Strictly positive definite kernels on subsets of the complex plane
• Multivariate interpolation at arbitrary points made simple
• Inf-convolution splines
• Hilbertian kernels and spline functions
• NIST digital library of mathematical functions
• Generalized Legendre series and the fundamental solution of the Laplacian on the \(n\)-sphere
• Spline Interpolation and Smoothing on the Sphere
• Erratum: Spline Interpolation and Smoothing on the Sphere
• Semi-reproducing kernel Hilbert spaces, splines and increment kriging
• A necessary and sufficient condition for strictly positive definite functions on spheres
• Approximation Theory and Harmonic Analysis on Spheres and Balls

This page was built for publication: Thinplate splines on the sphere