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JOURNALS // Program Systems: Theory and Applications // Archive

Program Systems: Theory and Applications, 2011 Volume 2, Issue 4, Pages 3–15 (Mi ps43)

Optimization Methods and Control Theory

Antropomorphic recovery of corrupted images via methods of sub-Riemannian geometry

A. A. Ardentov, Yu. L. Sachkov

Program Systems Institute of RAS, Pereslavl'-Zalesskii, Yaroslavskaya obl.

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.

Key words and phrases: image inpainting, optimal control, sub-Riemannian geometry.

UDC: 517.977



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