# Good continuation in 3D: the neurogeometry of stereo vision

arXiv: https://arxiv.org/abs/2301.04542 · HTML: https://mlsanity.com/paper/2301.04542/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 11 Jan 2023.

## Built on by (most cited first, 1 of 1)

- [Individuation of 3D perceptual units from neurogeometry of binocular cells](https://mlsanity.com/paper/2410.02870/) (2024)

## Abstract (arXiv)

Classical good continuation for image curves is based on 2D position and orientation. It is supported by the columnar organization of cortex, by psychophysical experiments, and by rich models of (differential) geometry. Here we extend good continuation to stereo. We introduce a neurogeometric model, in which the parametrizations involve both spatial and orientation disparities. Our model provides insight into the neurobiology, suggesting an implicit organization for neural interactions and a well-defined 3D association field. Our model sheds light on the computations underlying the correspondence problem, and illustrates how good continuation in the world generalizes good continuation in the plane.