Image decomposition. Application to SAR images.

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 a recent 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.
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Contributor : Jean-François Aujol <>
Submitted on : Thursday, January 3, 2008 - 6:14:58 PM
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Jean-François Aujol, Gilles Aubert, Laure Blanc-Féraud, Antonin Chambolle. Image decomposition. Application to SAR images.. Lecture Notes in Computer Science, Springer, 2003, Scale Space Methods in Computer Vision (2695), p. 297-312. ⟨10.1007/3-540-44935-3⟩. ⟨hal-00202010⟩



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