We reproduce suprathreshold perception phenomena, specifically visual illusions, by Wilson–
Cowan (WC)-type models of neuronal dynamics. Our findings show that the ability to …

This paper investigates the online estimation of neural activity within the primary visual
cortex (V1) in the framework of observability theory. We focus on a low-dimensional neural …

An extended four-dimensional version of the traditional Petitot–Citti–Sarti model on contour
completion in the visual cortex is examined. The neural configuration space is considered as …

In this paper, we introduce a new variational model for color image restoration, called DIP-
VBTV, which combines two priors: a deep image prior (DIP), which assumes that the …

This paper focuses on the modeling of experiments conducted by Billock and Tsou [VA
Billock and BH Tsou, Proc. Natl. Acad. Sci. USA, 104 (2007), pp. 8490--8495] using an …

We present a novel cortically-inspired image completion algorithm. It uses five-dimensional
sub-Riemannian cortical geometry, modeling the orientation, spatial frequency and phase …

The reconstruction mechanisms built by the human auditory system during sound
reconstruction are still a matter of debate. The purpose of this study is to propose a …

We consider Wilson-Cowan-type models for the mathematical description of orientation-
dependent Poggendorff-like illusions. Our modelling improves two previously proposed …

An adaptive observer is proposed to estimate the synaptic distribution between neurons
asymptotically from the measurement of a part of the neuronal activity and a delayed neural …

In the film industry, the same movie is expected to be watched on displays of vastly different
sizes, from cinema screens to mobile phones. But visual induction, the perceptual …