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Adaptive inverse quadratics interpolation with applications to vector fitting and the hankel transform of spectral domain green’s functions

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2 Author(s)
Knockaert, L. ; Ghent Univ., Ghent ; De Zutter, D.

In this contribution we discuss the translation- invariant interpolation of univariate functions by means of inverse quadratics radial basis functions. For the implementation we use an adaptive interpolation process which is a variant of a recently introduced adaptive residual subsampling method. It is shown that the interpolation process with the inverse quadratics kernel also provides an excellent pre-processing interface when used in conjunction with the popular vector fitting algorithm. This results in a composite algorithm, performing the sampling and modelling of the given function in a fully automatic way. It also provides a platform for calculating the Hankel transform of spectral domain Green's functions.

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26-28 Sept. 2007