Least squares surface approximation to scattered data using multiquadric functions
By: by Richard Franke, Hans Hagen, Gregory M. Nielson
Contributors: Hagen, Hans; Nielson, Gregory M.; Naval Postgraduate School (U.S.). Dept. of Mathematics
Publisher: Naval Postgraduate School; Available from National Technical Information Service
Published: 1993
Place of publication: Monterey, Calif; Springfield, Va
Language: eng
Number of pages: 27
Subjects: SCATTERING, STATISTICAL DATA, LEAST SQUARES METHOD, FITTING FUNCTIONS(MATHEMATICS); Least squares method
Other titles: NPS-MA-93-008.
Description: This report documents an investigation into some methods for fitting surfaces to scattered data. The form of the fitting function is a multiquadric function with the criteria for the fit being the least mean squared resifual for the data points. The principal problem is the selection of knot points (or base points for the multiquadric basis functions), although the selection of the multiquadric parameter also plays a nontrivial role in the process. We first describe a greedy algorithm for knot selection, and this procedure is used as an initial step in what follows. The minimization including knot locations and multiquadric parameter is explored, with some unexpected results in terms of 'near repeated' knots. This phenomenon is explored, and leads us to consider variable parameter values for the basis functions. Examples and results are given throughout....Scattered data, Surface approximation, Least squares, Multiquadrics, Adoptive fitting, Knot selection, Multiquadric parameter value.
Notes: Cover title.

"NPS-MA-93-008."

"Technical report for period January 1992 - December 1992."

AD A259 804.

Includes bibliographical references (p. 17-18)

aq/aq cc:9116 03/21/97.