Introduction to magnetic resonance imaging for mathematicians
[Une introduction à l'imagerie par résonance magnétique pour les mathématiciens]
Epstein, Charles L.1
1 University of Pennsylvania, Department of Mathematics, Philadelphia (USA)
Annales de l'Institut Fourier, Tome 54 (2004) no. 5, pp. 1697-1716.

Nous introduisons les concepts et modèles de base en résonance magnétique nucléaire (RMN). Nous décrivons une expérience d'imagerie simple ainsi que la réduction du problème d'excitation sélective à un problème de scattering inverse.

The basic concepts and models used in the study of nuclear magnetic resonance are introduced. A simple imaging experiment is described, as well as, the reduction of the problem of selective excitation to a classical problem in inverse scattering.

DOI : 10.5802/aif.2063
Classification : 78A46, 81V35, 65R10, 65R32
Epstein, Charles L. 1

1 University of Pennsylvania, Department of Mathematics, Philadelphia (USA) 
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Epstein, Charles L. Introduction to magnetic resonance imaging for mathematicians. Annales de l'Institut Fourier, Tome 54 (2004) no. 5, pp. 1697-1716. doi : 10.5802/aif.2063. http://www.numdam.org/articles/10.5802/aif.2063/

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