Image decomposition application to SAR images

Authors:
Jean-François Aujol;Gilles Aubert;Laure Blanc-Féraud;Antonin Chambolle
Affiliations:
Laboratoire J.A. Dieudonné, UMR, CNRS, Université de Nice Sophia-Antipolis, Parc Valrose, Nice Cedex 2, France and ARIANA, projet commun INRIA, UNSA, CNRS, INRIA Sophia Antipolis, Sophia ...;Laboratoire J.A. Dieudonné, UMR, CNRS, Université de Nice Sophia-Antipolis, Parc Valrose, Nice Cedex 2, France;ARIANA, projet commun INRIA, UNSA, CNRS, INRIA Sophia Antipolis, Sophia Antipolis, Cedex, France;CEREMADE, CNRS, UMR, Université Paris IX - Dauphine, Paris Cedex 16, France
Venue:
Scale Space'03 Proceedings of the 4th international conference on Scale space methods in computer vision
Year:
2003

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Abstract

We construct an algorithm to split an image into a sum u + v of a bounded variation component and a component containing the textures and the noise. This decomposition is inspired from arecent work of Y. Meyer. We find this decomposition by minimizing a convex functional which depends on the two variables u and v, alternatively in each variable. Each minimization is based on a projection algorithm to minimize the total variation. We carry out the mathematical study of our method. We present some numerical results. In particular, we show how the u component can be used in nontextured SAR image restoration.