# Neurogeometry of perception: isotropic and anisotropic aspects

## TL;DR

This paper explores the geometrical properties of the visual cortex, highlighting anisotropic edge co-occurrence distributions, and introduces a new non-isotropic cortical connectivity model that explains oblique visual phenomena.

## Contribution

It presents a novel non-isotropic cortical connectivity model based on edge co-occurrence histograms, advancing understanding of visual cortex geometry and perception.

## Key findings

- Histograms of edges are biased towards horizontal and vertical directions.
- The new model explains oblique phenomena consistent with experimental data.
- Geometrical properties of cortical connectivity influence perception patterns.

## Abstract

In this paper we first recall the definition of geometical model of the visual cortex, focusing in particular on the geometrical properties of horizontal cortical connectivity. Then we recognize that histograms of edges - co-occurrences are not isotropic distributed, and are strongly biased in horizontal and vertical directions of the stimulus. Finally we introduce a new model of non isotropic cortical connectivity modeled on the histogram of edges - co-occurrences. Using this kernel we are able to justify oblique phenomena comparable with experimental findings.