Introduction to magnetic resonance imaging for mathematicians  [ Une introduction à l’imagerie par résonance magnétique pour les mathématiciens ]
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.

Classification : 78A46,  81V35,  65R10,  65R32
Mots clés: résonance magnétique nucléaire, imagerie, excitation sélective, scattering inverse
     author = {Epstein, Charles L.},
     title = {Introduction to magnetic resonance imaging for mathematicians},
     journal = {Annales de l'Institut Fourier},
     pages = {1697--1716},
     publisher = {Association des Annales de l'institut Fourier},
     volume = {54},
     number = {5},
     year = {2004},
     doi = {10.5802/aif.2063},
     zbl = {02162438},
     mrnumber = {2127862},
     language = {en},
     url = {}
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.

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