Accession Number : ADA185681

Title :   Knot Selection for Least Squares Thin Plate Splines.

Descriptive Note : Technical rept. Jan 86-Jul 87,

Corporate Author : NAVAL POSTGRADUATE SCHOOL MONTEREY CA

Personal Author(s) : McMahon, John R ; Franke, Richard

PDF Url : ADA185681

Report Date : Sep 1987

Pagination or Media Count : 27

Abstract : An algorithm for selection of knot point locations for approximation of functions from large sets of scattered data by least squares Thin Plate Splines is given. The algorithm is based on the idea that each data point is equally important in defining the surface, which allows the knot selection process to be decoupled from the least squares. Properties of the algorithm are investigated, and examples demonstrating it are given. Results of some least squares approximate are given and compared with other approximation methods. Keywords: Variables; Knot selection, Least squares, Thin plate splines, Dirichlet tesselation; Scattered data. (Author)

Descriptors :   *LEAST SQUARES METHOD, *SPLINES, *FITTING FUNCTIONS(MATHEMATICS), ALGORITHMS, APPROXIMATION(MATHEMATICS), FUNCTIONS(MATHEMATICS), PLATES, POSITION(LOCATION), SCATTERING, SELECTION, THINNESS, VARIABLES

Subject Categories : Statistics and Probability

Distribution Statement : APPROVED FOR PUBLIC RELEASE