Publications

A neural model for V1 that incorporates dendritic nonlinearities and back-propagating action potentials

Neural field equations with time-periodic external inputs and some applications to visual processing

Activity estimation via distributed measurements in an orientation sensitive neural fields model of the visual cortex

Reproducibility via neural fields of visual illusions induced by localized stimuli

A mathematical model of the visual MacKay effect

Weyl’s law for singular Riemannian manifolds

Beyond $\ell$1 sparse coding in V1

A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions

A bio-inspired geometric model for sound reconstruction

Worst Exponential Decay Rate for Degenerate Gradient flows subject to persistent excitation

Identification of saturated networked systems

Homogeneous observer for a low-dimensional neural fields model of cortical activity

Cortical origins of MacKay-type visual illusions: A case for the non-linearity

Reproducing Sensory Induced Hallucinations via Neural Fields

An auditory cortex model for sound processing

A bio-inspired geometric model for sound reconstruction

On the decay rate for degenerate gradient flows subject to persistent excitation

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

Image inpainting via a control-theoretical model of human vision

Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion

MacKay-Type Visual Illusions via Neural Fields

A semidiscrete version of the Citti-Petitot-Sarti model as a plausible model for anthropomorphic image reconstruction and pattern recognition

Pattern Recognition

Almost-Periodic Interpolation and Approximation

Lifts

Image Reconstruction

Introduction

Preliminaries

Applications

Geometry and analysis of control-affine systems: motion planning, heat and Schrödinger evolution