Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
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 variable 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.
 
 
IMAGE DECOMPOSITION INTO A BOUNDED VARIATION COMPONENT AND AN OSCILLATING COMPONENT
AUBERT Gilles, AUJOL Jean-Fran├žois, BLANC-FERAUD Laure
CHAMBOLLE Antonin
2003-36
19-10-2003
 
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