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Radial Basis Functions

  • Marco Evangelos BiancoliniEmail author
Chapter

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.

References

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Copyright information

© Springer International Publishing AG, part of Springer Nature 2017

Authors and Affiliations

  1. 1.Department of Enterprise Engineering “Mario Lucertini”University of Rome “Tor Vergata”RomeItaly

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