A new class of radial basis functions with compact support

Buhmann, M.

doi:10.1090/S0025-5718-00-01251-5

A new class of radial basis functions with compact support
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by M. D. Buhmann;

Math. Comp. 70 (2001), 307-318

DOI: https://doi.org/10.1090/S0025-5718-00-01251-5

Published electronically: March 16, 2000

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Abstract:

Radial basis functions are well-known and successful tools for the interpolation of data in many dimensions. Several radial basis functions of compact support that give rise to nonsingular interpolation problems have been proposed, and in this paper we study a new, larger class of smooth radial functions of compact support which contains other compactly supported ones that were proposed earlier in the literature.

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