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Computer Graphics and Image Processing
Volume 16, Issue 1, May 1981, Pages 1-19
 
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doi:10.1016/0146-664X(81)90091-5    How to Cite or Link Using DOI (Opens New Window)
Copyright © 1981 Published by Elsevier Inc.

High-resolution imaging in 3-D reconstructive tomography

Jacques G. Verly*

Electrical Engineering Department, Stanford University, Stanford, California, USA

Received 24 August 1979; 
Revised 24 June 1980. 
Available online 6 July 2004.

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Abstract

A new approach to 3-D computer-aided tomographic imaging aimed at reducing the image degradation due to the nonzero cross-section of the X-ray beam is presented. It relies upon the use of a new quantity, the beam integral, whose numerical value can be obtained from data available in practice. A direct consequence of using beam integrals, rather than more commonly accepted quantities, as ingredients in a conventional slice-by-slice reconstruction algorithm is the linearization of the relationship between the blurred image and the original object and, subsequently, the possibility of pushing resolution beyond the fundamental limit dictated by the beam cross-section by having recourse to linear restoration. A general expression for the related 3-D space-variant point spread function is given and a general restoration scheme proposed.

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