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Journal Articles Pacific journal of optimization Year : 2013

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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Dates and versions

hal-00939498 , version 1 (30-01-2014)

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  • HAL Id : hal-00939498 , version 1

Cite

Bernard Bonnard, Monique Chyba, John Marriott. Feedback equivalence and the contrast problem in nuclear magnetic resonance imaging. Pacific journal of optimization, 2013, 9, pp.635-650. ⟨hal-00939498⟩
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