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Proceedings Paper

New cone-beam reconstruction algorithm and its application to circular orbits
Author(s): Hui Hu
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Paper Abstract

It is discovered that for circular scanning orbits a function to be reconstructed, f (, can be broken into three terms: f () = fMo(f) + fMl(f) +fN(i)' where f,,(i) represents the null space component of f (i), fçi')corresponds to the reconstruction proposed by Feldkamp etal, while fM1() representsthe remaining part ofthe measurement space component, denoted as f, that is not provided in the Feldkamp reconstruction. Thus, a new cone beam reconstruction algorithm for circular scans is proposed as follows: 1) compute f) using Feldkamp algorithm; 2) compute fMtfr) using the formula developed inthis paper; and 3) estimate f4). This new algorithm has the following merits: 1) By including the correction term fMl(?),itprovides a more accurate reconstruction of f,fl) than Feldkamp algorithm; 2) It computes f(r) and fMl?) in a filtered—backprojection fashion, assuring an accurate and computationally efficient reconstruction of f4(?). For this reason, we expect that it would compare favorably in practice to Grangeat algorithm. This mathematical framework also provides a new perspective to understand the analytical relation between Grangeat algorithm and Feldkamp algorithm.

Paper Details

Date Published: 1 May 1994
PDF: 12 pages
Proc. SPIE 2163, Medical Imaging 1994: Physics of Medical Imaging, (1 May 1994); doi: 10.1117/12.174259
Show Author Affiliations
Hui Hu, GE Medical Systems (United States)

Published in SPIE Proceedings Vol. 2163:
Medical Imaging 1994: Physics of Medical Imaging
Rodney Shaw, Editor(s)

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