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Proceedings Paper

Semi-dynamic preconditioned alternating projection MAP ECT reconstruction from low-dose ECT
Author(s): Andrzej Krol; Si Li; Yuesheng Xu; Jiahan Zhang; Levon O. Vogelsang; Lixin Shen; David H. Feiglin
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Paper Abstract

The objective of this study was to develop very low noise and high-contrast-to-noise ratio fast proximity algorithm for MAP ECT reconstruction that would allow significant (factor of two or more) patient’s dose reduction, as compared to conventional OSEM algorithm. We proposed a semi-dynamic Preconditioned Alternating Projection Algorithm (PAPA) for solving the maximum a posteriori (MAP) emission computed tomography (ECT) reconstruction problem. Specifically, we formulated the reconstruction problem as a constrained convex optimization problem with the total variation (TV) regularization. We characterized the solution of the constrained convex optimization problem and showed that it satisfies a system of fixed-point equations defined in terms of two proximity operators arising from the convex functions that define the TV-norm and the constrain involved in the problem. We proved theoretically the convergence of the proposed algorithm. For efficient numerical computation, we introduced to the alternating projection algorithm a preconditioning matrix: the EM-preconditioner. In numerical experiments using Monte Carlo simulated SPECT data performance of our algorithms was compared with performance of the conventional EM algorithm with Gaussian postfilter. Based on the results of these experiments, we observed that PAPA algorithm with the EM-preconditioner outperforms very significantly the benchmark EM in terms of contrast-to-noise ratio and the noise characteristics of the reconstructed images.

Paper Details

Date Published: 19 March 2013
PDF: 6 pages
Proc. SPIE 8668, Medical Imaging 2013: Physics of Medical Imaging, 86685F (19 March 2013); doi: 10.1117/12.2008153
Show Author Affiliations
Andrzej Krol, SUNY Upstate Medical Univ. (United States)
Si Li, Sun Yat-sen Univ. (China)
Yuesheng Xu, Sun Yat-sen Univ. (United States)
Syracuse Univ. (United States)
Jiahan Zhang, Syracuse Univ. (United States)
Levon O. Vogelsang, VirtualScopics (United States)
Lixin Shen, Syracuse Univ. (United States)
David H. Feiglin, SUNY Upstate Medical Univ. (United States)

Published in SPIE Proceedings Vol. 8668:
Medical Imaging 2013: Physics of Medical Imaging
Robert M. Nishikawa; Bruce R. Whiting; Christoph Hoeschen, Editor(s)

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