Radial Basis Functions

Marco Evangelos Biancolini ()
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Marco Evangelos Biancolini: University of Rome “Tor Vergata”, Department of Enterprise Engineering “Mario Lucertini”

Chapter Chapter 2 in Fast Radial Basis Functions for Engineering Applications, 2017, pp 9-33 from Springer

Abstract: Abstract In this chapter the RBF mathematical concepts are exposed considering firstly the interpolation problem with the RBF function defined by known values at source points; a first hands-on example is provided showing how RBF work. Further topics of RBF theory are then introduced considering the differentiation of RBF, the fitting of an RBF with known values at locations different from the source points, the use of regression instead of exact interpolation and finally the management of noisy datasets. The chapter contents will not provide the details of mathematical theory but they will be mainly focused on the relevant results suitable for a wise and aware practical application of RBF.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-75011-8_2

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DOI: 10.1007/978-3-319-75011-8_2

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