Half-plane approximation with radial functions

Half-plane approximation with radial functions

We address interpolation with radial basis functions on half-planes or -spaces, where the centres are multi-integers restricted to the same target set. Existence of Lagrange functions for this interpolation process is shown, and the results are applicable to a general, enlarged class including thin-...

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Veröffentlicht in:Computers & mathematics with applications (1987) 2006-04, Vol.51 (8), p.1171-1184
1. Verfasser: Buhmann, M.D.
Format: Artikel
Sprache:eng
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Zusammenfassung:We address interpolation with radial basis functions on half-planes or -spaces, where the centres are multi-integers restricted to the same target set. Existence of Lagrange functions for this interpolation process is shown, and the results are applicable to a general, enlarged class including thin-plate splines and inultiquadrics.
ISSN:0898-1221
1873-7668
DOI:10.1016/j.camwa.2006.04.012