Data approximation using polyharmonic radial basis functions

Segeth, Karel

  • Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 129-138

Abstract

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The paper is concerned with the approximation and interpolation employing polyharmonic splines in multivariate problems. The properties of approximants and interpolants based on these radial basis functions are shown. The methods of such data fitting are applied in practice to treat the problems of, e.g., geographic information systems, signal processing, etc. A simple 1D computational example is presented.

How to cite

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Segeth, Karel. "Data approximation using polyharmonic radial basis functions." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2021. 129-138. <http://eudml.org/doc/296883>.

@inProceedings{Segeth2021,
abstract = {The paper is concerned with the approximation and interpolation employing polyharmonic splines in multivariate problems. The properties of approximants and interpolants based on these radial basis functions are shown. The methods of such data fitting are applied in practice to treat the problems of, e.g., geographic information systems, signal processing, etc. A simple 1D computational example is presented.},
author = {Segeth, Karel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {polyharmonic spline; radial basis function; approximation; data fitting; interpolation},
location = {Prague},
pages = {129-138},
publisher = {Institute of Mathematics CAS},
title = {Data approximation using polyharmonic radial basis functions},
url = {http://eudml.org/doc/296883},
year = {2021},
}

TY - CLSWK
AU - Segeth, Karel
TI - Data approximation using polyharmonic radial basis functions
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2021
CY - Prague
PB - Institute of Mathematics CAS
SP - 129
EP - 138
AB - The paper is concerned with the approximation and interpolation employing polyharmonic splines in multivariate problems. The properties of approximants and interpolants based on these radial basis functions are shown. The methods of such data fitting are applied in practice to treat the problems of, e.g., geographic information systems, signal processing, etc. A simple 1D computational example is presented.
KW - polyharmonic spline; radial basis function; approximation; data fitting; interpolation
UR - http://eudml.org/doc/296883
ER -

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