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Proceedings Paper

Limited Angle Reconstruction Problems In X-Ray And NMR Tomography
Author(s): F. Alberto Grunbaum
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Paper Abstract

The problem of estimating an unknown density from its lower dimensional projections in a limited range of views can be put in the framework of "time and band limited functions." In some instances this leads to a highly favorable and exceptional situation: the singular value decomposition of the corresponding "Finite Radon Transform" can be accomplished and the degree of illconditioning fully analyzed. The reason for this accident is poorly understood; we give a number of examples which include the cases of X-ray as well as NMR tomography.

Paper Details

Date Published: 1 November 1982
PDF: 3 pages
Proc. SPIE 0372, Physics and Engineering in Medical Imaging, (1 November 1982); doi: 10.1117/12.934512
Show Author Affiliations
F. Alberto Grunbaum, University of California (United States)

Published in SPIE Proceedings Vol. 0372:
Physics and Engineering in Medical Imaging
Orhan Nalcioglu, Editor(s)

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