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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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Conference papers
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https://hal.inrae.fr/hal-02598945
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Submitted on : Saturday, May 16, 2020 - 1:05:07 AM
Last modification on : Tuesday, November 17, 2020 - 1:34:04 PM

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  • HAL Id : hal-02598945, version 1
  • IRSTEA : PUB00039296

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E. Chouzenoux, Saïd Moussaoui, J. Idier, François Mariette. Primal-dual interior point optimization for a regularized reconstruction of NMR relaxation time distributions. ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing, May 2013, Vancouver, Canada. pp.8747-8750. ⟨hal-02598945⟩

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