Inverse problem resolution using sparse regularization method based on L1 Norm. Application to X-rays tomographic reconstruction images

Auteurs :  Aicha ALLAG, Redouane DRAI, T. BOUTEKDJIRT
Année : 2013
Domaine : Electronique
Type : Communication
Conférence: The International Federation of Operational Research Societies (IFORS 2013 )
Résumé en PDF :  (résumé en pdf)
Fulltext en PDF :  (.pdf)
Mots clés : radiography, X Ray, L1 norm, Tomography

Résumé : 

In this paper, a sparse regularization method in an orthogonal basis is studied and applied to X-rays tomographic reconstruction 2D images. This method is based on total variation algorithm associated to L1 norm. The inverse problem can therefore be regularized by using primal dual formulation based on proximal functions. We applied this method to non-destructive evaluation of material in the case of 2D reconstruction of X-rays tomographic images containing real defects