Accession Number : ADA132319

Title :   Multivariate, Minimum-Curvature Splines for Randomly Spaced Data.

Descriptive Note : Final rept.,

Corporate Author : NAVAL OCEANOGRAPHIC OFFICE NSTL STATION MS

Personal Author(s) : Cloutier,James R

PDF Url : ADA132319

Report Date : Jul 1983

Pagination or Media Count : 82

Abstract : This paper develops a collection of multivariate splines which are applicable to randomly spaced data. The splines are constructed from a linear combination of spline basis functions having evenly spaced nodes. A pseudoinverse solution of coefficients is obtained via a singular value decomposition (SVD). Spurious oscillations are damped by zeroing out an appropriate number of the singular values. A transformation is performed prior to entering the SVD so that, whenever the solution is nonunique, the 'minimum-curvature' solution is obtained. An added feature of these splines is an option through which a periodic fit may be produced in one or more dimensions if it is so desired. (Author)

Descriptors :   *Splines, *Multivariate analysis, Computer graphics, Matrices(Mathematics), Space(Room), Bivariate analysis, Linear systems

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE