Knot Selection for Least Squares Thin Plate Splines
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Authors
McMahon, John R.
Franke, Richard
Subjects
approximation
interpolation
scattered data
least squares
knot selection
thin plate splines
interpolation
scattered data
least squares
knot selection
thin plate splines
Advisors
Date of Issue
1987-09
Date
September 1987
Publisher
Monterey, California. Naval Postgraduate School
Language
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 demonstating it are given.
Results of some least squares approximations are given and
compared with other approximation methods.
Type
Technical Report
Description
Technical Report for Period January 1986 - July 1987
Series/Report No
Department
Mathematics
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
NPS-53-87-005
Sponsors
Office of Naval Research
Funder
Format
30 p.
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.