Sampling in the Euclidean Motion Group and a Problem from Brain's Primary Visual Cortex
Functional Analysis
2026-01-27 v1 Neurons and Cognition
Abstract
We study a sampling problem for the abstract wavelet transform associated with the quasiregular representation of the group, for a modulated gaussian mother wavelet. This problem is motivated by the behavior of brain's primary visual cortex. We provide a characterization in terms of a dual Gramian matrix, and study numerically the relationships among the parameters defining the sampling and the mother wavelet.
Cite
@article{arxiv.2601.17528,
title = {Sampling in the Euclidean Motion Group and a Problem from Brain's Primary Visual Cortex},
author = {Davide Barbieri},
journal= {arXiv preprint arXiv:2601.17528},
year = {2026}
}