Feedback equivalence and the contrast problem in nuclear magnetic resonance imaging

Abstract : The theoretical analysis of the contrast problem in NMR imaging is mainly reduced, thanks to the Maximum Principle, to the analysis of the so-called singular trajectories of the control system modeling the problem: a coupling of two Bloch equations representing the evolution of the magnetization vector of each spin particle. They are solutions of a constrained Hamiltonian equation. In this article we describe feedback invariants related to the singular flow to distinguish the different cases occurring in physical experiments.
Type de document :
Article dans une revue
Pacific journal of optimization, Yokohama Publishers, 2013, 9, pp.635-650. 〈http://www.ybook.co.jp/online2/oppjo/vol9/p635.html〉
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https://hal.inria.fr/hal-00939498
Contributeur : Jean-Baptiste Pomet <>
Soumis le : jeudi 30 janvier 2014 - 19:48:59
Dernière modification le : vendredi 8 juin 2018 - 14:50:07

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  • HAL Id : hal-00939498, version 1

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Bernard Bonnard, Monique Chyba, John Marriott. Feedback equivalence and the contrast problem in nuclear magnetic resonance imaging. Pacific journal of optimization, Yokohama Publishers, 2013, 9, pp.635-650. 〈http://www.ybook.co.jp/online2/oppjo/vol9/p635.html〉. 〈hal-00939498〉

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