Contributo in atti di convegno, 2010, ENG

Stable multiquadric approximation by local thinning

M. Bozzini and L. Lenarduzzi

Dip Mat. Appl. Universita' Milano Bicocca; IMATI CNR Milano

In this paper our concern is the recovery of a highly regular function by a discrete set $X$ of data with arbitrary distribution. We consider the case of a nonstationary multiquadric interpolant that presents numerical breakdown. Therefore we propose a global least squares multiquadric approximant with a center set $T$ of maximal size and obtained by a new thinning technique. The new thinning scheme removes the local bad conditions in order to obtain $\axt$ well conditioned. The choice of working on local subsets of the data set $X$ provides an effective solution. Some numerical examples to validate the goodness of our proposal are given.

Tenth international conference Zaragoza-Pau on applied mathematics and statistics, pp. 73–82, Spagna, 17-18 sept 2008

Keywords

scattered data, thinning, non stationary multiquadric approximant

CNR authors

Lenarduzzi Licia

CNR institutes

IMATI – Istituto di matematica applicata e tecnologie informatiche "Enrico Magenes"