Multivariate smooth interpolation that employs polyharmonic functions
- Programs and Algorithms of Numerical Mathematics, Publisher: Institute of Mathematics CAS(Prague), page 140-148
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topSegeth, Karel. "Multivariate smooth interpolation that employs polyharmonic functions." Programs and Algorithms of Numerical Mathematics. Prague: Institute of Mathematics CAS, 2019. 140-148. <http://eudml.org/doc/294932>.
@inProceedings{Segeth2019,
abstract = {We study the problem of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation formula that in a natural way leads to a linear combination of polyharmonic splines complemented with lower order polynomial terms. In general, such formulae can be very useful e.g. in geographic information systems or computer aided geometric design. A simple computational example is presented.},
author = {Segeth, Karel},
booktitle = {Programs and Algorithms of Numerical Mathematics},
keywords = {data interpolation; smooth interpolation; polyharmonic spline; radial basis function; Fourier transform},
location = {Prague},
pages = {140-148},
publisher = {Institute of Mathematics CAS},
title = {Multivariate smooth interpolation that employs polyharmonic functions},
url = {http://eudml.org/doc/294932},
year = {2019},
}
TY - CLSWK
AU - Segeth, Karel
TI - Multivariate smooth interpolation that employs polyharmonic functions
T2 - Programs and Algorithms of Numerical Mathematics
PY - 2019
CY - Prague
PB - Institute of Mathematics CAS
SP - 140
EP - 148
AB - We study the problem of construction of the smooth interpolation formula presented as the minimizer of suitable functionals subject to interpolation constraints. We present a procedure for determining the interpolation formula that in a natural way leads to a linear combination of polyharmonic splines complemented with lower order polynomial terms. In general, such formulae can be very useful e.g. in geographic information systems or computer aided geometric design. A simple computational example is presented.
KW - data interpolation; smooth interpolation; polyharmonic spline; radial basis function; Fourier transform
UR - http://eudml.org/doc/294932
ER -
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