CVFeb 17, 2014
Weyl group orbit functions in image processing
arXiv:1404.0566v12 citations
Originality Synthesis-oriented
AI Analysis
This work addresses image processing tasks by introducing a mathematical framework, but it appears incremental as it adapts known functions to a specific domain.
The paper tackled the problem of Fourier-like analysis on discrete grids in 2D simplexes using Weyl group orbit functions, presenting a convolution theorem and applying it to image processing for spatial filtering.
We deal with the Fourier-like analysis of functions on discrete grids in two-dimensional simplexes using $C-$ and $E-$ Weyl group orbit functions. For these cases we present the convolution theorem. We provide an example of application of image processing using the $C-$ functions and the convolutions for spatial filtering of the treated image.