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An Artificial Visual Cortex for Image Processing

Publications

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

Author(s): Ugo Boscain, Roman Chertovskih, Jean-Paul Gauthier, Dario Prandi, Alexey Remizov
Published in: ESAIM: Proceedings and Surveys, Issue 64, 2018, Page(s) 37-53, ISSN 2267-3059
DOI: 10.1051/proc/201864037

Highly Corrupted Image Inpainting Through Hypoelliptic Diffusion

Author(s): Ugo V. Boscain, Roman Chertovskih, Jean-Paul Gauthier, Dario Prandi, Alexey Remizov
Published in: Journal of Mathematical Imaging and Vision, Issue 60/8, 2018, Page(s) 1231-1245, ISSN 0924-9907
DOI: 10.1007/s10851-018-0810-4

Intrinsic random walks in Riemannian and sub-Riemannian geometry via volume sampling

Author(s): Andrei Agrachev, Ugo Boscain, Robert Neel, Luca Rizzi
Published in: ESAIM: Control, Optimisation and Calculus of Variations, Issue 24/3, 2018, Page(s) 1075-1105, ISSN 1292-8119
DOI: 10.1051/cocv/2017037

Heat kernel asymptotics on sub-Riemannian manifolds with symmetries and applications to the bi-Heisenberg group

Author(s): Ugo Boscain, Davide Barilari, Robert Neel
Published in: Les Annales de la Faculté des Sciences de Toulouse, Issue in press, 2019, ISSN 0240-2963

A compprehensive introduction to sub-Riemannian geometry

Author(s): A. Agrachev, U. Boscain D. Barilari
Published in: Cambridge Studies in Advanced Mathematics,, 2019