Abstract
Interpolation using radial basis functions has become an established and useful technique in multi-dimensional data fitting. It is a special case of interpolation by translates of a basis function. All the methods used in practice have a strong connection with a variational principle. In this paper we provide a straightforward approach to the variational principle, and make some useful practical deductions from the theory.
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Light, W. (1997). Interpolation by Translates of a Basis Function. In: Nürnberger, G., Schmidt, J.W., Walz, G. (eds) Multivariate Approximation and Splines. ISNM International Series of Numerical Mathematics, vol 125. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8871-4_11
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DOI: https://doi.org/10.1007/978-3-0348-8871-4_11
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9808-9
Online ISBN: 978-3-0348-8871-4
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