# Individuation of 3D perceptual units from neurogeometry of binocular cells

arXiv: https://arxiv.org/abs/2410.02870 · HTML: https://mlsanity.com/paper/2410.02870/

## Key facts

- No citing papers in the map yet (data through 14 Oct 2026).
- Builds on 4 of its 86 references that are in the map.
- First posted on arXiv 3 Oct 2024.

## Builds on (most cited first, 4 of 4)

- [A cortical-inspired geometry for contour perception and motion integration](https://mlsanity.com/paper/1301.3433/) (2013)
- [The constitution of visual perceptual units in the functional architecture of V1](https://mlsanity.com/paper/1406.0289/) (2014)
- [Local and global gestalt laws: A neurally based spectral approach](https://mlsanity.com/paper/1512.06566/) (2015)
- [Good continuation in 3D: the neurogeometry of stereo vision](https://mlsanity.com/paper/2301.04542/) (2023)

## Abstract (arXiv)

We model the functional architecture of the early stages of three-dimensional vision by extending the neurogeometric sub-Riemannian model for stereo-vision introduced in citeBCSZ23. A new framework for correspondence is introduced that integrates a neural-based algorithm to achieve stereo correspondence locally while, simultaneously, organizing the corresponding points into global perceptual units. The result is an effective scene segmentation. We achieve this using harmonic analysis on the sub-Riemannian structure and show, in a comparison against Riemannian distance, that the sub-Riemannian metric is central to the solution.