Gabor frames and higher dimensional boundaries in signal analysis on manifolds
Signal Processing
2023-09-11 v1 Robotics
Differential Geometry
Functional Analysis
Abstract
We provide a construction of Gabor frames that encode local linearizations of a signal detected on a curved smooth manifold of arbitrary dimension, with Gabor filters that can detect the presence of higher-dimensional boundaries in the manifold signal. We describe an application in configuration spaces in robotics with sharp constrains. The construction is a higher-dimensional generalization of the geometric setting developed for the study of signal analysis in the visual cortex.
Keywords
Cite
@article{arxiv.2309.04094,
title = {Gabor frames and higher dimensional boundaries in signal analysis on manifolds},
author = {Vasiliki Liontou and Matilde Marcolli},
journal= {arXiv preprint arXiv:2309.04094},
year = {2023}
}
Comments
LaTeX, 26 pages, 1 png figure