36 citations · 71 across the 8 of their papers we have counts for
8 papers
Multi-frequency image completion via a biologically-inspired sub-Riemannian model with frequency and phase
Emre Baspinar
We present a novel cortically-inspired image completion algorithm. It uses a five dimensional sub-Riemannian cortical geometry modelling the orientation, spatial frequency and phas…
A cortical-inspired sub-Riemannian model for Poggendorff-type visual illusions
Emre Baspinar, Luca Calatroni, Valentina Franceschi +1
We consider Wilson-Cowan-type models for the mathematical description of orientation-dependent Poggendorff-like illusions. Our modelling improves two previously proposed cortical-i…
Canonical models for torus canards in elliptic bursters
Emre Baspinar, Daniele Avitabile, Mathieu Desroches
We revisit elliptic bursting dynamics from the viewpoint of torus canard solutions. We show that at the transition to and from elliptic burstings, classical or mixed-type torus can…
Coherence resonance in neuronal populations: mean-field versus network model
Emre Baspinar, Leonhard Schülen, Simona Olmi +1
The counter-intuitive phenomenon of coherence resonance describes a non-monotonic behavior of the regularity of noise-induced oscillations in the excitable regime, leading to an op…
A geometric model of multi-scale orientation preference maps via Gabor functions
Emre Baspinar, Giovanna Citti, Alessandro Sarti
In this paper we present a new model for the generation of orientation preference maps in the primary visual cortex (V1), considering both orientation and scale features. First we…
Uniqueness of viscosity mean curvature flow solution in two sub-Riemannian structures
Emre Baspinar, Giovanna Citti
Here we provide a uniqueness result for viscosity solutions to sub-Riemannian mean curvature flow. In this setting the uniqueness cannot be deduced via comparison principle, which…
Uniqueness of vanishing viscosity mean curvature flow solution in two sub-Riemannian structures
Emre Baspinar, Giovanna Citti
Here we provide uniqueness of vanishing viscosity solutions to sub-Riemannian mean curvature flow problem, which was known only far from characteristic points or under special symm…
A diffusion driven curvature flow
Emre Baspinar, Giovanna Citti
Bence-Merriman-Osher algorithm computes numerically mean curvature flow via solutions of heat equation iteratively initialized at the end of each short time interval. Inspired by t…