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Image Decomposition Application to SAR Images

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Scale Space Methods in Computer Vision (Scale-Space 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2695))

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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.

partially supported by the GdR-PRC ISIS

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Author information

Authors and Affiliations

  1. Laboratoire J.A.Dieudonné, UMR CNRS 6621, Université de Nice Sophia-Antipolis, Parc Valrose, 06108, Nice Cedex 2, France

    Jean-François Aujol & Gilles Aubert

  2. ARIANA, projet commun INRIA/UNSA/CNRS, INRIA Sophia Antipolis, 2004, route des Lucioles, BP93, 06902, Sophia Antipolis, Cedex, France

    Jean-François Aujol & Laure Blanc-Féraud

  3. CEREMADE, CNRS UMR 7534, Université Paris IX - Dauphine, Place du Maréchal De Lattre De Tassigny, 75775, Paris Cedex 16, France

    Antonin Chambolle

Authors
  1. Jean-François Aujol
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  2. Gilles Aubert
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  3. Laure Blanc-Féraud
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  4. Antonin Chambolle
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Editor information

Editors and Affiliations

  1. Imaging Sciences, 5th Floor Thomas Guy House, Guy’s Campus, London, SE1 9RT, UK

    Lewis D. Griffin

  2. IT University of Copenhagen, Glentevej 67-69, Copenhagen NV, Denmark

    Martin Lillholm

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© 2003 Springer-Verlag Berlin Heidelberg

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Aujol, JF., Aubert, G., Blanc-Féraud, L., Chambolle, A. (2003). Image Decomposition Application to SAR Images. In: Griffin, L.D., Lillholm, M. (eds) Scale Space Methods in Computer Vision. Scale-Space 2003. Lecture Notes in Computer Science, vol 2695. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44935-3_21

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  • DOI: https://doi.org/10.1007/3-540-44935-3_21

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40368-5

  • Online ISBN: 978-3-540-44935-5

  • eBook Packages: Springer Book Archive

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