Aujol, JF., Aubert, G., Blanc-Féraud, L. et al. J Math Imaging Vis (2005) 22: 71. doi:10.1007/s10851-005-4783-8
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.
total variation minimizationBVtexturerestorationSAR imagesspeckle