# ANNALES DE L'INSTITUT FOURIER

Introduction to magnetic resonance imaging for mathematicians
Annales de l'Institut Fourier, Volume 54 (2004) no. 5, p. 1697-1716

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.

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.

DOI : https://doi.org/10.5802/aif.2063
Classification:  78A46,  81V35,  65R10,  65R32
Keywords: nuclear magnetic resonance, imaging, selective excitation, inverse scattering
@article{AIF_2004__54_5_1697_0,
author = {Epstein, Charles L.},
title = {Introduction to magnetic resonance imaging for mathematicians},
journal = {Annales de l'Institut Fourier},
publisher = {Association des Annales de l'institut Fourier},
volume = {54},
number = {5},
year = {2004},
pages = {1697-1716},
doi = {10.5802/aif.2063},
zbl = {02162438},
mrnumber = {2127862},
language = {en},
url = {aif.centre-mersenne.org/item/AIF_2004__54_5_1697_0}
}

Epstein, Charles L. Introduction to magnetic resonance imaging for mathematicians. Annales de l'Institut Fourier, Volume 54 (2004) no. 5, pp. 1697-1716. doi : 10.5802/aif.2063. https://aif.centre-mersenne.org/item/AIF_2004__54_5_1697_0/

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