Primal-dual interior point optimization for a regularized reconstruction of NMR relaxation time distributions

Abstract : This paper deals with the reconstruction of relaxation time distributions in Nuclear Magnetic Resonance (NMR) spectroscopy. This large scale and ill-posed inverse problem is solved by the iterative minimization of a regularized objective function allowing to encode some prior assumptions on the sought distribution. The numerical optimization of the criterion is performed using a primal-dual interior point algorithm allowing to handle the non-negativity constraint. The performances of the proposed approach are illustrated through the processing of real data from a two-dimensional NMR experiment.
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Emilie Chouzenoux, Saïd Moussaoui, Jérôme Idier, François Mariette. Primal-dual interior point optimization for a regularized reconstruction of NMR relaxation time distributions. IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2013), May 2013, Vancouver, Canada. pp.xx-xx. ⟨hal-00823603⟩

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