Articolo in rivista, 2010, ENG, 10.1016/j.amc.2010.01.065

Polyharmonic B-splines: an approximation method for noisy scattered data of extra-large size

M. Bozzini, L. Lenarduzzi, and M. Rossini

Dip Matematica Applicata Milano Bicocca; IMATI CNR Milano; Dip Matematica Applicata Milano Bicocca

The aim of this paper is to provide a fast method, with a good quality of reproduction, to recover functions from very large and irregularly scattered samples of noisy data, which may present outliers. To the given sample of size N, we associate a uniform grid and, around each grid point, we condense the local information given by the noisy data by a suitable estimator. The recovering is then performed by a stable interpolation based on isotropic polyharmonic B-splines. Due to the good approximation rate, we need only M\lt N degrees of freedom to recover the phenomenon faiythully.

Applied mathematics and computation 216 , pp. 317–331

Keywords

polyharmonic B-splines, interpolation, outliers, noisy data, unevenly scattered data

CNR authors

Lenarduzzi Licia

CNR institutes

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