A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations

Bertalmío, Marcelo; Calatroni, Luca; Franceschi, Valentina; Franceschiello, Benedetta; Prandi, Dario

doi:http://dx.doi.org/10.1007/978-3-030-22368-7_37

A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations

Citation

Bertalmío M, Calatroni L, Franceschi V, Franceschiello B, Prandi D. A cortical-inspired model for orientation-dependent contrast perception: a link with Wilson-Cowan equations. In: Lellmann J, Burger M, Modersitzki J. Scale Space and Variational Methods in Computer Vision. The 7th International Conference on Scale Space and Variational Methods in Computer Vision; 2019 Jun 30-Jul 4; Hofgeismar, Germany. [Cham]: Springer; 2019. p. 472-84. (LNCS; no. 11.603). DOI: 10.1007/978-3-030-22368-7_37

Abstract

We consider a differential model describing neuro-physiological contrast percep- tion phenomena induced by surrounding orientations. The mathematical formulation relies on a cortical-inspired modelling [10] largely used over the last years to describe neuron inter- actions in the primary visual cortex (V1) and applied to several image processing problems [12,19,13]. Our model connects to Wilson-Cowan-type equations [23] and it is analogous to the one used in [3,2,14] to describe assimilation and contrast phenomena, the main novelty being its explicit dependence on local image orientation. To confirm the validity of the model, we report some numerical tests showing its ability to explain orientation-dependent phenom- ena (such as grating induction) and geometric-optical illusions [21,16] classically explained only by filtering-based techniques [6,18].

Description

Comunicació presentada a: The 7th International Conference on Scale Space and Variational Methods in Computer Vision, celebrada del 30 de juny al 4 de juliol de 2019 a Hofgeismar, Alemanya.