Lenka Hakova

Interpolation of multidimensional digital data using Weyl group orbit functions

Orbit functions are families of special functions related to the Weyl group of semisimple 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 $\matbb{R}^n$. 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 $S^l$-function defined by the Weyl group of the Lie algebra $B_3$.

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		University of Bialystok