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Numerical methods in tomography

Published online by Cambridge University Press:  07 November 2008

Frank Natterer
Frank Natterer
Affiliation:
Institut für Numerische und Instrumentelle Mathematik, Universität Münster, Einsteinstrasse 62, D-48149 Münster, Germany E-mail: nattere@math.uni-muenster.de
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Abstract

In this article we review the image reconstruction algorithms used in tomography. We restrict ourselves to the standard problems in the reconstruction of function from line or plane integrals as they occur in X-ray tomography, nuclear medicine, magnetic resonance imaging, and electron microscopy. Nonstandard situations, such as incomplete data, unknown orientations, local tomography, and discrete tomography are not dealt with. Nor do we treat nonlinear tomographic techniques such as impedance, ultrasound, and near-infrared imaging.

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Type
Research Article
Information
Acta Numerica , Volume 8 , January 1999 , pp. 107 - 141
Copyright
Copyright © Cambridge University Press 1999

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