Abstract
In this paper, we study the application of a new class of Gibbs priors to improve the signal-to-noise ratio in gated SPECT myocardial perfusion studies. The Gibbs priors, referred to as “space-time” Gibbs priors, enforce smoothing in the time dimension as well as the spatial dimensions while preserving the sharpness of edges in the reconstructed image. These Gibbs priors can be implemented with or without prior knowledge of heart motion. We develop a modified MAP-EM algorithm that reconstructs all time frames in the gated data simultaneously. We demonstrate on simulated gated myocardial SPECT data that the addition of the time-domain prior improves the visualization of the left ventricle in unfiltered reconstructions as compared to ML-EM and that MAP-EM with the space-time prior offers improved resolution as compared to ML-EM followed by a linear filter. We conclude that space-time priors have the potential to improve reconstructions of noisy gated cardiac SPECT data.
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References
Geman, S. and Geman, D.: Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images, IEEE Trans. Patt. Anal. Mach. Intell., PAMI-6 (1984), 721–741.
Green, P. J.: Bayesian reconstructions from emission tomography data using a modified EM algorithm, IEEE Trans. Med. Imag., MI-9 (1990), 84–93.
Hebert, T. J. and Leahy, R.: A generalized EM algorithm for 3D Bayesian reconstruction from Poisson data using Gibbs priors, IEEE Trans. Med. Imag., MI-8 (1989), 194–202.
Lalush, D. S. and Tsui, B. M. W.: Simulation evaluation of Gibbs prior distributions for use in maximum a posteriori SPECT reconstructions, IEEE Trans. Med. Imag., MI-11 (1992), 267–275.
Fessler, J. A.: Penalized weighted least squares image reconstruction for positron emission tomography, IEEE Trans. Med. Imag., 13 (1994), 290–300.
Kaufman, L.: Maximum likelihood, least squares, and penalized least squares for PET, IEEE Trans. Med. Imag., 12 (1993), 200–214.
Lalush, D. S. and Tsui, B. M. W.: A fast and stable maximum a posteriori conjugate gradient reconstruction algorithm, Med. Phys., 22 (1995), 1273–1284.
Lange, K. and Carson, R.: EM reconstruction algorithms for emission and transmission tomography, J. Comp. Assist. Tomogr., 8 (1984), 306–316.
Shepp, L. A. and Vardi, Y.: Maximum likelihood estimation for emission tomography, IEEE Trans. Med. Imag., MI-1 (1982), 113–121.
Levitan, E. and Herman, G. T.: A maximum a posteriori probability expectation maximization algorithm for image reconstruction in emission tomography, IEEE Trans. Med. Imag., MI-6 (1987), 185–192.
Lalush, D. S., The application of a Gibbs prior with a generalized potential function to maximum a posteriori SPECT reconstruction, The University of North Carolina at Chapel Hill, Ph.D. dissertation, 1992.
Johnson, V. E., Wong, W. H., Hu, X. and Chen, C.-T. “Bayesian restoration of PET images using Gibbs priors.” Information Processing in Medical Imaging. New York: Wiley-Liss (1991), 15–28.
Geman, S. and McClure, D.: Bayesian image analysis: an application to single photon emission tomography, Proceedings of the American Statistical Society, Statistical Computing Section, Washington, DC, 1985, 12–18.
Lalush, D. S. and Tsui, B. M. W.: A generalized Gibbs prior for maximum a posteriori reconstruction in SPECT, Phys. Med. Biol., 38 (1993), 729–741.
Tsui, B. M. W., Terry, J. A. and Gullberg, G. T.: Evaluation of cardiac cone-beam Single Photon Emission Computed Tomography using observer performance experiments and receiver operating characteristic analysis, Invest. Radiol., 28 (1993), 1101–1112.
Wilson, D. W., Noise and Resolution Properties of FB and ML-EM Reconstructed SPECT Images, The University of North Carolina at Chapel Hill, Ph.D. dissertation, 1994.
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© 1996 Springer Science+Business Media Dordrecht
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Lalush, D.S., Tsui, B.M.W. (1996). Space-Time Gibbs Priors Applied to Gated SPECT Myocardial Perfusion Studies. In: Grangeat, P., Amans, JL. (eds) Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine. Computational Imaging and Vision, vol 4. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-8749-5_15
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DOI: https://doi.org/10.1007/978-94-015-8749-5_15
Publisher Name: Springer, Dordrecht
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