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.
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https://hal.inria.fr/hal-00939498
Contributor : Jean-Baptiste Pomet <>
Submitted on : Thursday, January 30, 2014 - 7:48:59 PM
Last modification on : Thursday, August 1, 2019 - 10:20:03 AM

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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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