HAL will be down for maintenance from Friday, June 10 at 4pm through Monday, June 13 at 9am. More information
Skip to Main content Skip to Navigation
Journal articles

Parallel ProXimal Algorithm for image restoration using hybrid regularization

Abstract : Regularization approaches have demonstrated their effectiveness for solving ill-posed problems. However, in the context of variational restoration methods, a challenging question remains, which is how to find a good regularizer. While total variation introduces staircase effects, wavelet domain regularization brings other artefacts, e.g. ringing. However, a compromise can be found by introducing a hybrid regularization including several terms non necessarily acting in the same domain (e.g. spatial and wavelet transform domains). We adopt a convex optimization framework where the criterion to be minimized is split in the sum of more than two terms. For spatial domain regularization, isotropic or anisotropic total variation definitions using various gradient filters are considered. An accelerated version of the Parallel ProXimal Algorithm is proposed to perform the minimization. Some difficulties in the computation of the proximity operators involved in this algorithm are also addressed in this paper. Numerical experiments performed in the context of Poisson data recovery, show the good behavior of the algorithm as well as promising results concerning the use of hybrid regularization techniques.
Complete list of metadata

Cited literature [73 references]  Display  Hide  Download

Contributor : Nelly Pustelnik Connect in order to contact the contributor
Submitted on : Sunday, May 26, 2013 - 10:42:41 PM
Last modification on : Saturday, January 15, 2022 - 3:56:04 AM
Long-term archiving on: : Tuesday, August 27, 2013 - 4:10:32 AM


Files produced by the author(s)



Nelly Pustelnik, Caroline Chaux, Jean-Christophe Pesquet. Parallel ProXimal Algorithm for image restoration using hybrid regularization. IEEE Transactions on Image Processing, Institute of Electrical and Electronics Engineers, 2011, 20 (6), pp.2450-2462. ⟨10.1109/TIP.2011.2128335⟩. ⟨hal-00826121⟩



Record views


Files downloads