58 citations · 65 across the 3 of their papers we have counts for
3 papers
Cortical-inspired image reconstruction via sub-Riemannian geometry and hypoelliptic diffusion
Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier +2
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. In…
Hypoelliptic diffusion and human vision: a semi-discrete new twist
Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier +1
This paper presents a semi-discrete alternative to the theory of neurogeometry of vision, due to Citti, Petitot and Sarti. We propose a new ingredient, namely working on the group…
On pleated singular points of first order implicit differential equations
R. A. Chertovskih, A. O. Remizov
We study phase portraits of a first order implicit differential equation in a neighborhood of its pleated singular point that is a non-degenerate singular point of the lifted field…