Spherical RBF interpolation employing particular geodesic metrics and trend functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F25%3A00637103" target="_blank" >RIV/67985840:_____/25:00637103 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.21136/panm.2024.14" target="_blank" >http://dx.doi.org/10.21136/panm.2024.14</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/panm.2024.14" target="_blank" >10.21136/panm.2024.14</a>

Result language
angličtina
Original language name
Spherical RBF interpolation employing particular geodesic metrics and trend functions
Original language description
The paper is concerned with spherical radial basis function (SRBF) interpolation. We introduce particular SRBF interpolants employing several different geodesic metrics and a single trend function. Interpolation on a sphere is an important tool serving to processing data measured on the Earth's surface by satellites. Nevertheless, our model physical quantity is the magnetic susceptibility of rock measured in different directions. We construct a general SRBF formula and prove conditions sufficient for its existence. Particular formulae with specified geodesic metrics, trend and SRBFs are then constructed and tested on a series of magnetic susceptibility examples. The results show that this interpolation is sufficiently robust in general.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2025
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Programs and Algorithms of Numerical Mathematics 22 : Proceedings of Seminar
ISBN
978-80-85823-74-5
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
149-158
Publisher name
Matematicky ustav AV CR, v. v. i.
Place of publication
Praha
Event location
Hejnice
Event date
Jun 23, 2024
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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