Interpolation by periodic radial basis functions

DOI10.1016/0022-247X(92)90193-HzbMath0794.41002MaRDI QIDQ1206832

E. W. Cheney, William A. Light

Publication date: 1 April 1993

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

radial basis functionsinterpolation matrix

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Interpolation in approximation theory (41A05) Approximation by other special function classes (41A30)

Related Items

Strictly positive definite kernels on the circle ⋮ Periodized radial basis functions. I: Theory. ⋮ Strictly positive definite kernels on the hilbert sphere ⋮ Periodic Bézier curves ⋮ TV-based reconstruction of periodic functions ⋮ Strictly positive definite kernels on subsets of the complex plane ⋮ Interpolation by periodic radial functions ⋮ Order-preserving derivative approximation with periodic radial basis functions ⋮ Where there's a Will there's a way -- the research of Will Light ⋮ Interpolation with circular basis functions ⋮ Strictly Positive Definite Functions on Spheres ⋮ Interpolation of exponential-type functions on a uniform grid by shifts of a basis function ⋮ Strictly positive definite functions on spheres in Euclidean spaces ⋮ Characterization of strict positive definiteness on products of complex spheres

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Periodic interpolation on uniform meshes
• Solvability of multivariate interpolation by radial or related functions
• On certain metric spaces arising from euclidean spaces by a change of metric and their imbedding in Hilbert space
• Metric spaces and completely monontone functions
• Positive definite functions on spheres
• Interpolation on Uniform Meshes by the Translates of One Function and Related Attenuation Factors
• Strictly Positive Definite Functions on Spheres
• Extremal Problems of Distance Geometry Related to Energy Integrals
• Necessary and Sufficient Conditions for the Representation of a Function as a Laplace Integral
• What is the Laplace Transform?
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