# The constitution of visual perceptual units in the functional architecture of V1

arXiv: https://arxiv.org/abs/1406.0289 · HTML: https://mlsanity.com/paper/1406.0289/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 2 Jun 2014.

## Built on by (most cited first, 3 of 3)

- [Reconstructing group wavelet transform from feature maps with a reproducing kernel iteration](https://mlsanity.com/paper/2110.00600/) (2021)
- [Extreme Image Transformations Facilitate Robust Latent Object Representations](https://mlsanity.com/paper/2310.07725/) (2023)
- [Individuation of 3D perceptual units from neurogeometry of binocular cells](https://mlsanity.com/paper/2410.02870/) (2024)

## Abstract (arXiv)

Scope of this paper is to consider a mean field neural model which takes into account the functional neurogeometry of the visual cortex modelled as a group of rotations and translations. The model generalizes well known results of Bressloff and Cowan which, in absence of input, accounts for hallucination patterns. The main result of our study consists in showing that in presence of a visual input, the eigenmodes of the linearized operator which become stable represent perceptual units present in the image. The result is strictly related to dimensionality reduction and clustering problems.