A PRACTICAL ALGORITHM FOR LEAST-SQUARES SPLINE APPROXIMATION OF DATA CONTAINING NOISE

Authors
THIJSSE BJ HOLLANDERS MA HENDRIKSE J
Citation
Bj. Thijsse et al., A PRACTICAL ALGORITHM FOR LEAST-SQUARES SPLINE APPROXIMATION OF DATA CONTAINING NOISE, Computers in physics, 12(4), 1998, pp. 393-399
Citations number
13
Categorie Soggetti
Computer Science Interdisciplinary Applications","Physycs, Mathematical",Physics,"Physycs, Mathematical","Computer Science Interdisciplinary Applications
Journal title
Computers in physics → ACNP
ISSN journal
08941866
Volume
12
Issue
4
Year of publication
1998
Pages
393 - 399
Database
ISI
SICI code
0894-1866(1998)12:4<393:APAFLS>2.0.ZU;2-7
Abstract
A simple yet robust algorithm is presented to approximate data contain ing noise by smooth spline functions. The method is easy to implement and fast. Experience has shown that in the great majority of cases no user decisions are required to obtain adequate approximants, which is a useful property for routine processing of experimental data. The sta tistical basis of the algorithm is a generalized version of the Durbin -Watson statistic, which performs well even in the presence of correla ted noise. Examples are given to illustrate the power of the algorithm . (C) 1998 American Institute of Physics.