Limited Angle Reconstruction Problems In X-Ray And NMR Tomography

F. Alberto Grunbaum

doi:10.1117/12.934512

1 November 1982 Limited Angle Reconstruction Problems In X-Ray And NMR Tomography

F. Alberto Grunbaum

Proceedings Volume 0372, Physics and Engineering in Medical Imaging; (1982) https://doi.org/10.1117/12.934512
Event: International Workshop on Physics and Engineering in Medical Imaging, 1982, Pacific Grove, United States

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.

Citation Download Citation

F. Alberto Grunbaum "Limited Angle Reconstruction Problems In X-Ray And NMR Tomography", Proc. SPIE 0372, Physics and Engineering in Medical Imaging, (1 November 1982); https://doi.org/10.1117/12.934512

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