Search Results for author: Jean-Paul Gauthier

Found 5 papers, 0 papers with code

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

no code implementations11 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.

Image Inpainting Image Reconstruction

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

no code implementations10 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.

Image Reconstruction

Generalized Fourier-Bessel operator and almost-periodic interpolation and approximation

no code implementations23 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.

2k Image Reconstruction

Fourier descriptors based on the structure of the human primary visual cortex with applications to object recognition

no code implementations23 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 $SE(2, N) = \mathbb Z_N\rtimes \mathbb R^2$.

Object Recognition Translation

Highly corrupted image inpainting through hypoelliptic diffusion

no code implementations25 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.

Image Inpainting

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