Publications

Weyl’s law for singular Riemannian manifolds

Beyond $\ell$1 sparse coding in V1

Horizontal magnetic fields and improved Hardy inequalities in the Heisenberg group

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

Point interactions for 3D sub-Laplacians

Cortical-inspired Wilson-Cowan-type equations for orientation-dependent contrast perception modelling

Visual illusions via neural dynamics: Wilson-Cowan-type models and the efficient representation principle

Hardy-type inequalities for the Carnot-Carath\’eodory distance in the Heisenberg group

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

Image processing in the semidiscrete group of rototranslations

Image Reconstruction Via Non-Isotropic Diffusion in Dubins/Reed-Shepp- Like Control Systems

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

Introduction

Applications

Preliminaries

Lifts

Almost-Periodic Interpolation and Approximation

Pattern Recognition

Image Reconstruction

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