Elsevier

Signal Processing

Volume 25, Issue 2, November 1991, Pages 227-250
Signal Processing

Regular paper
Mathematical principles of basic magnetic resonance imaging in medicine

https://doi.org/10.1016/0165-1684(91)90065-QGet rights and content

Abstract

In this paper we review, from a mathematical point of view, the main techniques of magnetic resonance imaging (MRI) used in medicine. A detailed mathematical description of the basic physics and of the image formation process is given in the framework of the classical theory.

Zusammenfassung

In diesem Beitrag geben wir vom Standpunkt der Mathematik aus einen Überblick über die hauptsächlichen Techniken der Magnet-Resonanz-Abbildung, wie sie in der Medizin verwendet wird. Die grundlegende Physik und der Bildauf-bau-Prozeβ werden im Rahmen der klassischen Theorie im einzelnen mathematisch beschrieben.

Résumé

Nous faisons, dans cet article, un tour d'horizon du point de vue mathématique des principales techniques d'imagerie par résonance magnétique (MRI) utilisées en médecine. Nous donnons une description mathématique détaillée de la physique de base et du processus de formation d'image dans le cadre de la théorie classique.

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