# A cortical-inspired geometry for contour perception and motion integration

arXiv: https://arxiv.org/abs/1301.3433 · HTML: https://mlsanity.com/paper/1301.3433/

## Key facts

- Cited by 3 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 15 Jan 2013.

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

- [Multi-frequency image completion via a biologically-inspired sub-Riemannian model with frequency and phase](https://mlsanity.com/paper/2110.14330/) (2021)
- [Individuation of 3D perceptual units from neurogeometry of binocular cells](https://mlsanity.com/paper/2410.02870/) (2024)
- [Hybrid Lie semi-group and cascade structures for the generalized Gaussian derivative model for visual receptive fields](https://mlsanity.com/paper/2509.15748/) (2025)

## Abstract (arXiv)

In this paper we develop a geometrical model of functional architecture for the processing of spatio-temporal visual stimuli. The model arises from the properties of the receptive field linear dynamics of orientation and speed-selective cells in the visual cortex, that can be embedded in the definition of a geometry where the connectivity between points is driven by the contact structure of a 5D manifold. Then, we compute the stochastic kernels that are the approximations of two Fokker Planck operators associated to the geometry, and implement them as facilitation patterns within a neural population activity model, in order to reproduce some psychophysiological findings about the perception of contours in motion and trajectories of points found in the literature.