A neuro-mathematical model for geometrical optical illusions

TL;DR

This paper introduces a neuro-mathematical model and computational algorithm to interpret and qualitatively reproduce geometrical optical illusions, enhancing understanding of low-level visual processing.

Contribution

It extends the geometrical model by Citti and Sarti to provide a new mathematical and computational framework for understanding optical illusions.

Findings

Successfully reproduces perceived misperceptions in optical illusions

Provides a new interpretative framework for low-level visual processing

Enhances understanding of geometrical optical illusions

Abstract

Geometrical optical illusions have been object of many studies due to the possibility they offer to understand the behaviour of low-level visual processing. They consist in situations in which the perceived geometrical properties of an object differ from those of the object in the visual stimulus. Starting from the geometrical model introduced by Citti and Sarti in [3], we provide a mathematical model and a computational algorithm which allows to interpret these phenomena and to qualitatively reproduce the perceived misperception.