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A Filtered Iterative Reconstruction Algorithm for Positron Emission Tomography

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Abstract

Positron emission tomography (PET) has received increasing attention for the use in physiological studies in medical diagnosis. Most PET systems have a circular array of bismuth germanate (BGO) detectors and the coincidence detection of two annihilation photons is employed to reconstruct tomographic images. The detector gantry usually undergoes some type of scanning motion (wobbling, rotation, etc.) to achieve fine sampling of projection data. A recent trend of development in PET is to realize stationary PET systems with a reasonable spatial resolution (Derenzo et al.,1981; Burnham et al., 1984; Muehllehner and Karp, 1986). A totally stationary PET avoids the mechanical problems associated with accurate movement of the heavy assembly and is particularly advantageous in gated cardiac imaging or in fast dynamic studies. Elimination of scan motion along the detector plane allows one to scan the gantry quickly in the axial direction so that continuous three dimensional imaging can be achieved with a limited number of detector rings.

Keywords

  • Positron Emission Tomography
  • Scanning Positron Emission Tomography
  • Circular Array
  • Iterative Reconstruction Algorithm
  • Algebraic Reconstruction Technique

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  • Brooks, R.A., Sank, V.J, Talbert A.J. and DiChiro, G. (1979). Sampling requirements and detector motion for positron emission tomography, IEEE Trans. Nucl. Sci., NS-26, 2760–2763.

    Google Scholar 

  • Budinger, T.F. and Gullberg, G.T. (1974). Three-dimensional reconstruction in nuclear medicine emission imaging, IEEE Trans. Nucl. Sci., NS-21, 220.

    Google Scholar 

  • Burnham, C.A., Bradshaw, J., Kaufman, D., Chesler D. and Brownell G.L. (1984). A stationary positron emission ring tomograph using BG0 detector and analog readout, IEEE Trans. Nucl. Sci., NS-31, 632–636.

    Google Scholar 

  • Derenzo, S.E., Budinger, T.F. and Huesman, R.H. (1981). Imaging properties of a positron tomograph with 280 BGO crystals, IEEE Trans. Nucl. Sci., NS-28, 81–89.

    Google Scholar 

  • Gilbert, P. (1972). Iterative methods for the three-dimensional reconstruction of an object from projections, J. Theor. Biol., 36, 105–117.

    CrossRef  Google Scholar 

  • Gordon, R., Bender, R. and Herman, G.T. (1970). Algebraic reconstruction techniques(ART) for three-dimensional electron microscopy and x-ray photography, J. Theor. Biol., 29, 471–481.

    CrossRef  Google Scholar 

  • Herman, G.T. and Lent, A. (1976). Iterative reconstruction algorithm, Comput. Biol. Med., 6, 273–294.

    CrossRef  Google Scholar 

  • Kawata, S. and Nalcioglu, 0. (1985). Constrained iterative reconstruction by the conjugate gradient method, IEEE Trans. Med. Imag., MI-4, 65–71.

    Google Scholar 

  • Lange, K. and Carson, R. (1984). EM reconstruction algorithms for emission and transmission tomography, J. Comput. Assist. Tomogr., 8, 306–316.

    Google Scholar 

  • Llacer, J., Veklerov, E. and Hoffman, E. J. (1987). On the convergence of the maximum likelihood estimator method of tomographic image reconstruction, in: Proc. of Conf. on Medical Imaging, Newport Beach, CA (1987), SPIE Vol.767.

    Google Scholar 

  • Minerbo, G. (1979). Maximum entropy reconstruction from cone-beam projection data, Comput. Biol. Med., 9, 29–37.

    CrossRef  Google Scholar 

  • Muehllehner, G. and Karp, J.S. (1986). A positron camera using position-sensitive detectors: PENN-PET, J. Nucl. Med., 27, 90–98.

    Google Scholar 

  • Rockmore, A. and Macovski, A. (1977). A maximum likelihood approach to emission image reconstruction from projections, IEEE Trans. Nucl. Sci., NS-23, 1428–1432.

    Google Scholar 

  • Shepp, L.A. and Logan, B.F. (1974). Fourier reconstruction of a head section, IEEE Trans. Nucl. Sci., NS-21, 21–43.

    Google Scholar 

  • Shepp, L.A. and Vardi, Y. (1982). Maximum likelihood reconstruction for emission tomography, IEEE Trans. Med. Imag., MI-1, 113–122.

    Google Scholar 

  • Snyder, D.L. and Miller, M.I. (1985). The use of sieves to stabilize images produced with the EM algorithm for emission tomography, IEEE Trans. Nucl. Sci., NS-32, 3864–3872.

    Google Scholar 

  • Tanaka, E. (1987a). Recent progress on single photon and positron emission tomography–From detectors to algorithms, IEEE Trans. Nucl. Sci., NS-34, 313–320.

    Google Scholar 

  • Tanaka, E. (1987b). A fast reconstruction algorithm for stationary positron emission tomography based on a modified EM algorithm, IEEE Trans. Med. Imag., MI-6, 98–105.

    Google Scholar 

  • Tanaka, E., Nohara, N., Tomitani, T. and Yamamoto, M. (1985). Utilization of non-negativity constraints in reconstruction of emission tomograms, in: Proc. of the 9-th Conf. of Information Processing in Medical Imaging, Washington, D.C., June 10–14, 1985, S.L. Bacharach, ed., Martinus Nijhoff, pp. 379–393.

    Google Scholar 

  • Tanaka, E., Nohara, N., Tomitani, T., Yamamoto, M. and Murayama, H. (1986). Stationary positron emission tomography and its image reconstruction, IEEE Trans. Med. Imag., MI-5, 199–206.

    Google Scholar 

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© 1988 Springer Science+Business Media New York

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Tanaka, E. (1988). A Filtered Iterative Reconstruction Algorithm for Positron Emission Tomography. In: de Graaf, C.N., Viergever, M.A. (eds) Information Processing in Medical Imaging. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7263-3_13

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  • DOI: https://doi.org/10.1007/978-1-4615-7263-3_13

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4615-7265-7

  • Online ISBN: 978-1-4615-7263-3

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