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arXiv · 2601.17528

Sampling in the Euclidean Motion Group and a Problem from Brain's Primary Visual Cortex

Davide Barbieri
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Abstract

We study a sampling problem for the abstract wavelet transform associated with the quasiregular representation of the $SE(2)$ 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.

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Davide Barbieri. 2026-01-24. Sampling in the Euclidean Motion Group and a Problem from Brain's Primary Visual Cortex. https://arxiv.org/abs/2601.17528

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