Sampling in the Euclidean Motion Group and a Problem from Brain's Primary Visual Cortex
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866914277700403200 |
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| author | Barbieri, Davide |
| author_facet | Barbieri, Davide |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_17528 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Sampling in the Euclidean Motion Group and a Problem from Brain's Primary Visual Cortex Barbieri, Davide Functional Analysis Neurons and Cognition 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. |
| title | Sampling in the Euclidean Motion Group and a Problem from Brain's Primary Visual Cortex |
| topic | Functional Analysis Neurons and Cognition |
| url | https://arxiv.org/abs/2601.17528 |