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Article

Segeth, Karel
Data approximation using polyharmonic radial basis functions. (English). In: Chleboun, J., Kůs, P., Přikryl, P., Rozložník, M., Segeth, K. and Šístek, J. (eds.): Programs and Algorithms of Numerical Mathematics. Proceedings of Seminar. Hejnice, June 21-26, 2020. Institute of Mathematics CAS, Prague, 2021. pp. 129-138
MSC: 41A63, 65D07, 65D10, 65D12 | DOI: 10.21136/panm.2020.13
Keywords:
polyharmonic spline; radial basis function; approximation; data fitting; interpolation
Summary:
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.
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