no code implementations • 11 Jan 2018 • Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier, Dario Prandi, Alexey Remizov
In this paper we review several algorithms for image inpainting based on the hypoelliptic diffusion naturally associated with a mathematical model of the primary visual cortex.
no code implementations • 10 Apr 2017 • Dario Prandi, Jean-Paul Gauthier
Here, we propose a semi-discrete version of this theory, leading to a left-invariant structure over the group $SE(2, N)$, restricting to a finite number of rotations.
no code implementations • 23 Nov 2016 • Jean-Paul Gauthier, Dario Prandi
We consider functions $f$ of two real variables, given as trigonometric functions over a finite set $F$ of frequencies.
no code implementations • 23 Jul 2015 • Amine Bohi, Dario Prandi, Vincente Guis, Frédéric Bouchara, Jean-Paul Gauthier
In this paper we propose a supervised object recognition method using new global features and inspired by the model of the human primary visual cortex V1 as the semidiscrete roto-translation group $SE(2, N) = \mathbb Z_N\rtimes \mathbb R^2$.
no code implementations • 25 Feb 2015 • Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier, Dario Prandi, Alexey Remizov
We present a new image inpainting algorithm, the Averaging and Hypoelliptic Evolution (AHE) algorithm, inspired by the one presented in [SIAM J.