Sub-Riemannian mean curvature flow for image processing
Analysis of PDEs
2015-04-16 v1
Abstract
In this paper we reconsider the sub-Riemannian cortical model of image completion introduced by Sarti and Citti in 2003. This model combines two mechanisms, the sub-Riemannian diffusion and the concentration, giving rise to a diffusion driven motion by curvature. In this paper we give a formal proof of the existence of viscosity solutions of the sub-Riemannian motion by curvature. Results of completion and enhancement on a number of natural images are shown and compared with other models.
Cite
@article{arxiv.1504.03710,
title = {Sub-Riemannian mean curvature flow for image processing},
author = {Giovanna Citti and Benedetta Franceschiello and Gonzalo Sanguinetti and Alessandro Sarti},
journal= {arXiv preprint arXiv:1504.03710},
year = {2015}
}