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Journal Articles Journal of Mathematical Imaging and Vision Year : 2005

Image decomposition into a bounded variation component and an oscillating component

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, 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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Dates and versions

hal-00202001 , version 1 (03-01-2008)

Identifiers

  • HAL Id : hal-00202001 , version 1

Cite

Jean-François Aujol, Gilles Aubert, Laure Blanc-Féraud, Antonin Chambolle. Image decomposition into a bounded variation component and an oscillating component. Journal of Mathematical Imaging and Vision, 2005, 22 (1), p. 71-88. ⟨hal-00202001⟩
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