Giampietro Allasia e Cesare Bracco

HERMITE AND BIRKHOFF INTERPOLATION ON MULTIVARIATE SCATTERED DATA

A class of operators for nonpolynomial Hermite interpolation and Birkhoff interpolation to a multivariate real function on scattered data is discussed. The argument is developed considering a suitable space of functions and a related system of independent functionals, which enjoy biorthonormal property. The functionals give the derivatives at the data sites of some cardinal radial basis functions which depend on the data distribution. The data values are represented by truncated Taylor expansions of the interpolated function at the data sites. A noteworthy special case is widely discussed.

Elenco 2008


Università di Torino - Dipartimento di Matematica
Pagine realizzate dal Centro di Calcolo - R.I.R. Tiziana Armano
Ultima modifica: 08 Febbraio 2008