Efficient maximum entropy reconstruction of nuclear magnetic resonance T1-T2 spectra - INRAE - Institut national de recherche pour l’agriculture, l’alimentation et l’environnement Accéder directement au contenu
Article Dans Une Revue IEEE Transactions on Signal Processing Année : 2010

Efficient maximum entropy reconstruction of nuclear magnetic resonance T1-T2 spectra

Résumé

This paper deals with the reconstruction of T1-T2 correlation spectra in nuclear magnetic resonance relaxometry. The ll-posed character and the large size of this inverse problem are the main difficulties to tackle. While maximum entropy is retained as an adequate regularization approach, the choice of an efficient optimization algorithm remains a challenging task. Our proposal is to apply a truncated Newton algorithm with two original features. First, a theoretically sound line search strategy suitable for the entropy function is applied to ensure the convergence of the algorithm.Second, an appropriate preconditioning structure based on a singular value decomposition of the forward model matrix is used to speed up the algorithm convergence. Furthermore, we exploit the specific structures of the observation model and the Hessian of the criterion to reduce the computation cost of the algorithm. The performances of the proposed strategy are illustrated by means of synthetic and real data processing.
Fichier non déposé

Dates et versions

hal-00555936 , version 1 (14-01-2011)

Identifiants

Citer

Emilie Chouzenoux, Saïd Moussaoui, Jérôme Idier, François Mariette. Efficient maximum entropy reconstruction of nuclear magnetic resonance T1-T2 spectra. IEEE Transactions on Signal Processing, 2010, 58 (12), pp.6040-6051. ⟨10.1109/TSP.2010.2071870⟩. ⟨hal-00555936⟩
108 Consultations
0 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More