6533b837fe1ef96bd12a23e0

RESEARCH PRODUCT

Feedback equivalence and the contrast problem in nuclear magnetic resonance imaging

Bernard BonnardMonique ChybaJohn Marriott

subject

[ MATH.MATH-OC ] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC] Mathematics [math]/Optimization and Control [math.OC][MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]

description

International audience; 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.

yearjournalcountryeditionlanguage
2013-01-01
https://inria.hal.science/hal-00939498