The discrete cosine transform on triangles
Numerical Analysis
2018-11-12 v1 Numerical Analysis
Signal Processing
Abstract
The discrete cosine transform is a valuable tool in analysis of data on undirected rectangular grids, like images. In this paper it is shown how one can define an analogue of the discrete cosine transform on triangles. This is done by combining algebraic signal processing theory with a specific kind of multivariate Chebyshev polynomials. Using a multivariate Christoffel-Darboux formula it is shown how to derive an orthogonal version of the transform.
Cite
@article{arxiv.1811.04033,
title = {The discrete cosine transform on triangles},
author = {Bastian Seifert and Knut Hüper},
journal= {arXiv preprint arXiv:1811.04033},
year = {2018}
}
Comments
4 pages, 2 figures, submitted conference paper,