Original title: Spherical RBF interpolation employing particular geodesic metrics and trend functions
Authors: Segeth, Karel
Document type: Papers
Conference/Event: Programs and Algorithms of Numerical Mathematics /22./, Hejnice (CZ), 20240623
Year: 2025
Language: eng
Abstract: 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.
Keywords: geodesic metric; radial basis function; spherical interpolation; spherical radial basis function
Host item entry: Programs and Algorithms of Numerical Mathematics 22 : Proceedings of Seminar, ISBN 978-80-85823-74-5
Note: Související webová stránka: http://dx.doi.org/10.21136/panm.2024.14

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available in the digital repository of the Academy of Sciences.
Original record: https://hdl.handle.net/11104/0368023

Permalink: http://www.nusl.cz/ntk/nusl-684971


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