Properties of BV - G structures + textures decomposition models. application to road detection in satellite images

Authors:
Jérôme Gilles;Yves Meyer
Affiliations:
Espace Observation Renseignement et Drônes Department, Direction Générale pour l' Armement, Centre d'Expertise Parisien, Arcueil, France;Centre de Mathematique et de Leurs Applications, Ecole Normale Supérieure de Cachan, Cachan, France
Venue:
IEEE Transactions on Image Processing
Year:
2010

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Abstract

In this paper, we present some theoretical results about a structures-textures image decomposition model which was proposed by the second author. We prove a theorem which gives the behavior of this model in different cases. Finally, as a consequence of the theorem we derive an algorithm for the detection of long and thin objects applied to a road networks detection application in aerial or satellite images.