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Image decomposition into a bounded variation component and an oscillating component

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Date
2005
Dewey
Probabilités et mathématiques appliquées
Sujet
Total variation minimization; BV; Texture; Restoration; SAR images; Speckle
Journal issue
Journal of Mathematical Imaging and Vision
Volume
22
Number
1
Publication date
01-2005
Article pages
71-88
Publisher
Springer Netherlands
DOI
http://dx.doi.org/10.1007/s10851-005-4783-8
URI
https://basepub.dauphine.fr/handle/123456789/6187
Collections
  • CEREMADE : Publications
Metadata
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Author
Chambolle, Antonin
Blanc Feraud, Laure
Aujol, Jean-François
Aubert, Gilles
Type
Article accepté pour publication ou publié
Abstract (EN)
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 froma recent work of Y.Meyer.We find this decomposition by minimizing a convex functional which depends on the two variables u and v, alternately 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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