Shepard operator of least squares thin-plate spline type

Abstract

We obtain some new Shepard type operators based on the classical, the modified Shepard methods and the least squares thin plate spline function. Given some sets of points, we compute some representative subsets of knot points following an algorithm described by J. R. McMahon in 1986.

Authors

Teodora Catinas
Babes-Bolyai University, Faculty of Mathematics and Computer Sciences
Babes-Bolyai University, Faculty of Mathematics and Computer Sciences
Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy

Keywords

Scattered data; Shepard operator; least squares approximation; thinplate spline; knot points.

Paper coordinates

Malina Andra, Catinas Teodora, Shepard operator of least squares thin-plate spline type, Stud. Univ. Babes-Bolyai Math. 66(2021), No. 2, 257–265
http://doi.org/10.24193/subbmath.2021.2.02

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About this paper

Journal

Studia

Publisher Name

Univ. Babes-Bolyai Math.

Print ISSN

0252-1938

Online ISSN

2065-961X

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