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Adaptive inverse quadratics interpolation with applications to vector fitting and the Hankel transform of spectral domain Green's functions

Luc Knockaert (UGent) and Daniël De Zutter (UGent)
(2007) IEEE Africon. p.29-32
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Abstract
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.
Keywords
RESPONSES, RATIONAL APPROXIMATION

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Citation

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Chicago
Knockaert, Luc, and Daniël De Zutter. 2007. “Adaptive Inverse Quadratics Interpolation with Applications to Vector Fitting and the Hankel Transform of Spectral Domain Green’s Functions.” In IEEE Africon, 29–32. New York, NY, USA: IEEE.
APA
Knockaert, L., & De Zutter, D. (2007). Adaptive inverse quadratics interpolation with applications to vector fitting and the Hankel transform of spectral domain Green’s functions. IEEE Africon (pp. 29–32). Presented at the 8th IEEE Africon Conference, New York, NY, USA: IEEE.
Vancouver
1.
Knockaert L, De Zutter D. Adaptive inverse quadratics interpolation with applications to vector fitting and the Hankel transform of spectral domain Green’s functions. IEEE Africon. New York, NY, USA: IEEE; 2007. p. 29–32.
MLA
Knockaert, Luc, and Daniël De Zutter. “Adaptive Inverse Quadratics Interpolation with Applications to Vector Fitting and the Hankel Transform of Spectral Domain Green’s Functions.” IEEE Africon. New York, NY, USA: IEEE, 2007. 29–32. Print.
@inproceedings{389466,
  abstract     = {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.},
  author       = {Knockaert, Luc and De Zutter, Daniël},
  booktitle    = {IEEE Africon},
  isbn         = {9781424409860},
  keywords     = {RESPONSES,RATIONAL APPROXIMATION},
  language     = {eng},
  location     = {Windhoek, Namibia},
  pages        = {29--32},
  publisher    = {IEEE},
  title        = {Adaptive inverse quadratics interpolation with applications to vector fitting and the Hankel transform of spectral domain Green's functions},
  year         = {2007},
}

Web of Science
Times cited: