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Interpolation of Multidimensional Digital Data Using Weyl Group Orbit Functions

  • Lenka HákováEmail author
  • Jiří Hrivnák
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

Orbit functions are families of special functions related to the Weyl groups of simple Lie algebras. They are complex functions depending on n variables where n is the rank of the underlying Lie algebra. They possess several remarkable properties, among them a discrete orthogonality when sampled on a lattice fragment of a domain in \(\mathbb{R}^n\). This allows applications of orbit functions in processing of digital data. We present a method for an interpolation of discrete functions using the family of so-called Sl-function defined by the Weyl group of the Lie algebra B3.

Keywords

Orbit functions Fourier transform interpolation 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Faculty of Nuclear Sciences and Physical EngineeringCzech Technical University in PragueDěčínCzech Republic
  2. 2.Faculty of Nuclear Sciences and Physical EngineeringCzech Technical University in PraguePragueCzech Republic

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