SURFACE FITTING TO SCATTERED DATA BY A SUM OF GAUSSIANS

Authors
GOSHTASBY A ONEILL WD
Citation
A. Goshtasby et Wd. Oneill, SURFACE FITTING TO SCATTERED DATA BY A SUM OF GAUSSIANS, Computer aided geometric design, 10(2), 1993, pp. 143-156
Citations number
19
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Software Graphycs Programming
Journal title
Computer aided geometric design → ACNP
ISSN journal
01678396
Volume
10
Issue
2
Year of publication
1993
Pages
143 - 156
Database
ISI
SICI code
0167-8396(1993)10:2<143:SFTSDB>2.0.ZU;2-9
Abstract
We study the computational behavior and the interpolation accuracy of functions defined by a sum of Gaussians (SOG) in surface fitting. We c ompare the interpolation accuracies of SOG and multiquadrics (MQ) in d ata interpolation, and describe an algorithm for approximation of scat tered data by SOG with minimal least-squares error. We also characteri ze the computational behaviors of SOG and MQ in data interpolation as functions of their parameters sigma and r, respectively.