Interpolation by piecewise-linear radial basis functions. I

DOI10.1016/0021-9045(89)90152-4zbMath0678.41001OpenAlexW1991239591MaRDI QIDQ1124065

E. W. Cheney, William A. Light, N. Richter-Dyn

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-9045(89)90152-4

zbMATH Keywords

piecewise-linear radial basis functions

Mathematics Subject Classification ID

Interpolation in approximation theory (41A05)

Related Items

Characterization of an extremal sum of ridge functions, On the theorem of M. Golomb, Norms of inverses and condition numbers for matrices associated with scattered data, The interpolation problem for ridge functions, A note on the equioscillation theorem for best ridge function approximation, On the representation by sums of algebras of continuous functions, Strictly positive definite kernels on the hilbert sphere, Scattered hermite interpolation by ridge functions, Approximation by sums of ridge functions with fixed directions, Interpolation by sums of radial functions, Norm estimates for the inverses of a general class of scattered-data radial-function interpolation matrices, Criteria of the \(k\)-singularity and division of 1-singular systems, The fundamentality of sets of ridge functions, Where there's a Will there's a way -- the research of Will Light, On distance matrices and Laplacians, Interpolation on lines by ridge functions, Interpolation by piecewise-linear radial basis functions. II, On the asymptotics of Fekete-type points for univariate radial basis interpolation.

Cites Work

• Interpolation of scattered data: distance matrices and conditionally positive definite functions
• Bounds on the dimension of spaces of multivariate piecewise polynomials
• Convergence properties of radial basis 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 powers of certain conditionally negative definite matrices
• Scattered Data Interpolation: Tests of Some Method
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