A. A. Ardentov, Yu. L. Sachkov, Antropomorphic recovery of corrupted images via methods of sub-Riemannian geometry

Title: Antropomorphic recovery of corrupted images via methods of sub-Riemannian geometry
Authors: A. A. Ardentov, Yu. L. Sachkov
Journal title: Programmnye Sistemy: Teoriya i Prilozheniya
Year: 2011
Issue: 4
Volume: 2
Pages: 3–15
Citation:

A. A. Ardentov, Yu. L. Sachkov, “Antropomorphic recovery of corrupted images via methods of sub-Riemannian geometry”, Programmnye Sistemy: Teoriya i Prilozheniya, 2:4 (2011), 3–15

Abstract:

According to neurogeometry of vision, human brain recovers isophotes of corrupted images via optimal curves for a certain optimal control problem – sub-Riemannian problem on the group of motions of the lane. The paper describes an algorithm for antropomorphic inpainting of corrupted binary images on the basis of optimal synthesis for this problem.