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Volumn 12, Issue 4, 1993, Pages 643-652

Acceleration of Maximum Likelihood Reconstruction, Using Frequency Amplification and Attenuation Compensation

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; AMPLIFICATION; ATTENUATION; IMAGE PROCESSING; MATHEMATICAL TECHNIQUES; MEDICAL IMAGING;

EID: 0027884502     PISSN: 02780062     EISSN: 1558254X     Source Type: Journal    
DOI: 10.1109/42.251114     Document Type: Article
Times cited : (6)

References (48)
  • 2
    • 0024032820 scopus 로고
    • The circular harmonic transform for SPECT reconstruction and boundary conditions on the Fourier transform of the sinogram
    • W. G. Hawkins, P. K. Leichner, and N-C. Yang, “The circular harmonic transform for SPECT reconstruction and boundary conditions on the Fourier transform of the sinogram,” IEEE Trans. Med. Imaging, vol. 7, pp. 135-148, 1988.
    • (1988) IEEE Trans. Med. Imaging. , vol.7 , pp. 135-148
    • Hawkins, W.G.1    Leichner, P.K.2    Yang, N.C.3
  • 3
    • 0022415977 scopus 로고
    • An attenuated projector-backprojector for iterative SPECT reconstruction
    • G. T. Gullberg, R. H. Huesman, J. A. Malko, N. J. Pelc, and T. F. Budinger, “An attenuated projector-backprojector for iterative SPECT reconstruction,” Phys. Med. Biol., vol. 30, pp. 799-816, 1985.
    • (1985) Phys. Med. Biol. , vol.30 , pp. 799-816
    • Gullberg, G.T.1    Huesman, R.H.2    Malko, J.A.3    Pelc, N.J.4    Budinger, T.F.5
  • 4
    • 0022719492 scopus 로고
    • SPECT liver imaging using an iterative attenuation correction algorithm and an external floor source
    • J. A. Malko, R. L. Van Heertum, G. T. Gullberg, and W. P. Kowalsky, “SPECT liver imaging using an iterative attenuation correction algorithm and an external floor source,” J. Nucl. Med., vol. 27, pp. 701-705, 1986.
    • (1986) J. Nucl. Med. , vol.27 , pp. 701-705
    • Malko, J.A.1    Van Heertum, R.L.2    Gullberg, G.T.3    Kowalsky, W.P.4
  • 6
    • 0025416078 scopus 로고
    • A projector, back-projector pair which accounts for the two-dimensional depth and distance dependent blurring in SPECT
    • B. C. Penney and M. A. King, “A projector, back-projector pair which accounts for the two-dimensional depth and distance dependent blurring in SPECT,” IEEE Trans. Nucl. Sci., vol. 37, pp. 681-686, 1990.
    • (1990) IEEE Trans. Nucl. Sci. , vol.37 , pp. 681-686
    • Penney, B.C.1    King, M.A.2
  • 7
    • 0019606589 scopus 로고
    • Algorithms for fast back- and re-projection in computed tomography
    • T. M. Peters, “Algorithms for fast back- and re-projection in computed tomography,” IEEE Trans. Nucl. Sci., vol. NS-28, pp. 3641-3647, 1981.
    • (1981) IEEE Trans. Nucl. Sci. , vol.NS-28 , pp. 3641-3647
    • Peters, T.M.1
  • 9
    • 0017452940 scopus 로고
    • A method for attenuation correction in radionuclide computed tomography
    • L. T. Chang, “A method for attenuation correction in radionuclide computed tomography,” IEEE Trans. Nucl. Sci, vol. NS-25, pp. 638-643, 1978.
    • (1978) IEEE Trans. Nucl. Sci. , vol.NS-25 , pp. 638-643
    • Chang, L.T.1
  • 10
    • 0016068344 scopus 로고
    • Three-dimensional reconstruction in nuclear medicine emission imaging
    • T. F. Budinger and G. T. Gullberg, “Three-dimensional reconstruction in nuclear medicine emission imaging,” IEEE Trans. Nucl. Sci., vol. NS-21, pp. 2-20, 1974.
    • (1974) IEEE Trans. Nucl. Sci. , vol.NS-21 , pp. 2-20
    • Budinger, T.F.1    Gullberg, G.T.2
  • 13
    • 0020355936 scopus 로고
    • Attenuation compensation in single-photon emission tomography: A comparative evaluation
    • M. H. Lewis, J. T. Willerson, S. E. Lewis, F. J. Bonte, R. W. Parkey, and E. M. Stokely, “Attenuation compensation in single-photon emission tomography: A comparative evaluation,” J. Nucl. Med., vol. 23, pp. 1121-1127, 1982.
    • (1982) J. Nucl. Med. , vol.23 , pp. 1121-1127
    • Lewis, M.H.1    Willerson, J.T.2    Lewis, S.E.3    Bonte, F.J.4    Parkey, R.W.5    Stokely, E.M.6
  • 14
    • 0023182630 scopus 로고
    • A comparative study of attenuation correction algorithms in single photon emission computed tomography
    • K. Murase, H. Itoh, H. Mogami, M. Ishine, M. Kawamura, A. Iio, and K. Hamamoto, “A comparative study of attenuation correction algorithms in single photon emission computed tomography,” Eur. J. Nucl. Med., vol. 13, pp. 55-62, 1987.
    • (1987) Eur. J. Nucl. Med. , vol.13 , pp. 55-62
    • Murase, K.1    Itoh, H.2    Mogami, H.3    Ishine, M.4    Kawamura, M.5    Iio, A.6    Hamamoto, K.7
  • 15
    • 0023630988 scopus 로고
    • Nonisotropic attenuation in SPECT: Phantom test of quantitative effects and compensation techniques
    • S. H. Manglos, R. J. Jaszczak, C. E. Floyd, L. J. Hahn, K. L. Greer, and R. E. Coleman, “Nonisotropic attenuation in SPECT: Phantom test of quantitative effects and compensation techniques,” J. Nucl. Med., vol. 28, pp. 1584-1591, 1987.
    • (1987) J. Nucl. Med. , vol.28 , pp. 1584-1591
    • Manglos, S.H.1    Jaszczak, R.J.2    Floyd, C.E.3    Hahn, L.J.4    Greer, K.L.5    Coleman, R.E.6
  • 16
    • 0024031903 scopus 로고
    • A quantitative comparison of attenuation-weighted backprojection with multiplicative and iterative postprocessing attenuation compensation in SPECT
    • S. H. Manglos, R. J. Jaszczak, C. E. Floyd, L. J. Hahn, K. L. Greer, and R. E. Coleman, “A quantitative comparison of attenuation-weighted backprojection with multiplicative and iterative postprocessing attenuation compensation in SPECT,” IEEE Trans. Med. Imaging, vol. 7, pp. 127-134, 1988.
    • (1988) IEEE Trans. Med. Imaging. , vol.7 , pp. 127-134
    • Manglos, S.H.1    Jaszczak, R.J.2    Floyd, C.E.3    Hahn, L.J.4    Greer, K.L.5    Coleman, R.E.6
  • 17
    • 0016984643 scopus 로고
    • A maximum likelihood approach to emission image reconstruction from projections
    • A. J. Rockmore and A. Macovski, “A maximum likelihood approach to emission image reconstruction from projections,” IEEE Trans. Nucl. Sci., vol. NS-23, pp. 1428-1432, 1976.
    • (1976) IEEE Trans. Nucl. Sci. , vol.NS-23 , pp. 1428-1432
    • Rockmore, A.J.1    Macovski, A.2
  • 18
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • A. P. Dempster, N. M. Laird, and D. B. Rubin, “Maximum likelihood from incomplete data via the EM algorithm,” J. R. Stat. Soc. Series B, vol. 39, pp. 1-38, 1977.
    • (1977) J. R. Stat. Soc. Series B. , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 19
    • 0020194763 scopus 로고
    • Maximum likelihood reconstruction for emission tomography
    • L. A. Shepp and Y. Vardi, “Maximum likelihood reconstruction for emission tomography,” IEEE Trans. Med. Imaging, vol. MI-1, pp. 113-122, 1982.
    • (1982) IEEE Trans. Med. Imaging. , vol.MI-1 , pp. 113-122
    • Shepp, L.A.1    Vardi, Y.2
  • 20
    • 0010293907 scopus 로고
    • A statistical model for positron emission tomography
    • Y. Vardi, A. Shepp, and L. Kaufman, “A statistical model for positron emission tomography,” J. Amer. Statist. Assoc., vol. 80, pp. 8-37, 1985.
    • (1985) J. Amer. Statist. Assoc. , vol.80 , pp. 8-37
    • Vardi, Y.1    Shepp, A.2    Kaufman, L.3
  • 21
    • 0021327145 scopus 로고
    • EM reconstruction algorithms for emission and transmission tomography
    • K. Lange and R. Carson, “EM reconstruction algorithms for emission and transmission tomography,” J. Comp. Assist. Tomogr., vol. 8, pp. 306-316, 1984.
    • (1984) J. Comp. Assist. Tomogr. , vol.8 , pp. 306-316
    • Lange, K.1    Carson, R.2
  • 23
    • 0021370790 scopus 로고
    • Maximum-likelihood reconstruction for single-photon emission computed-tomography
    • M. I. Miller, D. L. Snyder, and T. R. Miller, “Maximum-likelihood reconstruction for single-photon emission computed-tomography,” IEEE Trans. Nucl. Sci., vol. NS-32, pp. 769-778, 1985.
    • (1985) IEEE Trans. Nucl. Sci. , vol.NS-32 , pp. 769-778
    • Miller, M.I.1    Snyder, D.L.2    Miller, T.R.3
  • 25
    • 0026120106 scopus 로고
    • Attenuation compensation of cone beam SPECT images using maximum likelihood reconstruction
    • S. H. Manglos, F. D. Thomas, and R. B. Capone, “Attenuation compensation of cone beam SPECT images using maximum likelihood reconstruction,” IEEE Trans. Med. Imaging, vol. 10, pp. 66-73, 1991.
    • (1991) IEEE Trans. Med. Imaging. , vol.10 , pp. 66-73
    • Manglos, S.H.1    Thomas, F.D.2    Capone, R.B.3
  • 26
    • 0026603566 scopus 로고
    • Three-dimensional SPECT reconstruction of combined cone beam and paralled beam data
    • R. J. Jaszczak, J. Li, H. Wang, and R. E. Coleman, “Three-dimensional SPECT reconstruction of combined cone beam and paralled beam data,” Phys. Med. Biol., vol. 37, pp. 535-548, 1992.
    • (1992) Phys. Med. Biol. , vol.37 , pp. 535-548
    • Jaszczak, R.J.1    Li, J.2    Wang, H.3    Coleman, R.E.4
  • 27
    • 9844251860 scopus 로고
    • Towards a practical implementation of the MLE algorithm for positron emission tomography
    • J. Llacer, S. Andreae, E. Veklerov, and E. J. Hoffman, “Towards a practical implementation of the MLE algorithm for positron emission tomography,” IEEE Trans. Nucl. Sci., vol. 33, pp. 468-477, 1986.
    • (1986) IEEE Trans. Nucl. Sci. , vol.33 , pp. 468-477
    • Llacer, J.1    Andreae, S.2    Veklerov, E.3    Hoffman, E.J.4
  • 28
    • 84939070579 scopus 로고
    • On the convergence of the maximum likelihood estimator of tomographic image reconstruction
    • J. Llacer, E. Veklerov, and E. J. Hoffrman, “On the convergence of the maximum likelihood estimator of tomographic image reconstruction,” SPIE, vol. 767, pp. 70-76, 1987.
    • (1987) SPIE. , vol.767 , pp. 70-76
    • Llacer, J.1    Veklerov, E.2    Hoffrman, E.J.3
  • 29
    • 84937371267 scopus 로고
    • The maximum likelihood estimator method of image reconstruction: Its fundamental characteristics and their origin
    • C. De Graaf and M. Viergever, eds.
    • J. Llacer and E. Veklerov, “The maximum likelihood estimator method of image reconstruction: Its fundamental characteristics and their origin,” in Information Processing in Medical Imaging, C. De Graaf and M. Viergever, eds., pp. 201-215, 1988.
    • (1988) Information Processing in Medical Imaging , pp. 201-215
    • Llacer, J.1    Veklerov, E.2
  • 31
    • 0024683826 scopus 로고
    • Feasible images and practical stopping rules for iterative algorithms in emission tomography
    • J. Llacer and E. Veklerov, “Feasible images and practical stopping rules for iterative algorithms in emission tomography ”IEEE Trans. Med. Imaging vol. 8, pp. 186-193, 1989.
    • (1989) IEEE Trans. Med. Imaging , vol.8 , pp. 186-193
    • Llacer, J.1    Veklerov, E.2
  • 32
    • 0023422273 scopus 로고
    • Noise and edge artifacts in maximum likelihood reconstructions for emission tomography
    • D. L. Snyder, M. I. Miller, L. J. Thomas, and D. G. Politte, “Noise and edge artifacts in maximum likelihood reconstructions for emission tomography,” IEEE Trans. Med. Imaging, vol. MI-6, pp. 228-238, 1987.
    • (1987) IEEE Trans. Med. Imaging. , vol.MI-6 , pp. 228-238
    • Snyder, D.L.1    Miller, M.I.2    Thomas, L.J.3    Politte, D.G.4
  • 33
    • 0022665032 scopus 로고
    • Maximum likelihood reconstruction for SPECT with Monte Carlo modeling: Asymptotic behavior
    • C. E. Floyd, R. J. Jaszczak, and R. E. Coleman, “Maximum likelihood reconstruction for SPECT with Monte Carlo modeling: Asymptotic behavior,” IEEE Trans. Nucl. Sci., vol. NS-34, pp. 285-287, 1987.
    • (1987) IEEE Trans. Nucl. Sci. , vol.NS-34 , pp. 285-287
    • Floyd, C.E.1    Jaszczak, R.J.2    Coleman, R.E.3
  • 34
    • 0023097523 scopus 로고
    • Convergence of the maximum likelihood reconstruction algorithm for emission computed tomography
    • C. E. Floyd, R. J. Jaszczak, and R. E. Coleman, “Convergence of the maximum likelihood reconstruction algorithm for emission computed tomography,” Phys. Med. Biol., vol. 32, pp. 463-76, 1987.
    • (1987) Phys. Med. Biol. , vol.32 , pp. 463-476
    • Floyd, C.E.1    Jaszczak, R.J.2    Coleman, R.E.3
  • 35
    • 0023670085 scopus 로고
    • Stopping rule for the MLE algorithm based on statistical hypothesis testing
    • E. Veklerov and J. Llacer, “Stopping rule for the MLE algorithm based on statistical hypothesis testing,” IEEE Trans. Med. Imaging, vol. MI-6, pp. 313-319, 1987.
    • (1987) IEEE Trans. Med. Imaging. , vol.MI-6 , pp. 313-319
    • Veklerov, E.1    Llacer, J.2
  • 36
    • 0009424483 scopus 로고    scopus 로고
    • An evaluation of the use of sieves for producing estimates of radioactivity distributions with the EM algorithm for PET
    • M. I. Miller, D. L. Snyder, and S. M. Moore, “An evaluation of the use of sieves for producing estimates of radioactivity distributions with the EM algorithm for PET,” IEEE Trans. Nucl. Sci., 1986 vol. 33, pp. 492-195.
    • IEEE Trans. Nucl. Sci. , vol.33 , pp. 492-495
    • Miller, M.I.1    Snyder, D.L.2    Moore, S.M.3
  • 37
    • 0025404969 scopus 로고
    • Bayesian reconstructions from emission tomography data using a modified EM algorithm
    • P. J. Green, “Bayesian reconstructions from emission tomography data using a modified EM algorithm,” IEEE Trans. Med. Imaging, vol. 9, pp. 84-93, 1990.
    • (1990) IEEE Trans. Med. Imaging. , vol.9 , pp. 84-93
    • Green, P.J.1
  • 38
    • 0024738904 scopus 로고
    • On Bayesian image reconstruction from projections: uniform and nonuniform a priori source information
    • Z. Liang, R. Jaszczak, and K. Greer, “On Bayesian image reconstruction from projections: uniform and nonuniform a priori source information,” IEEE Trans. Med. Imaging, vol. 8, pp. 227-235, 1989.
    • (1989) IEEE Trans. Med. Imaging. , vol.8 , pp. 227-235
    • Liang, Z.1    Jaszczak, R.2    Greer, K.3
  • 39
    • 0023422551 scopus 로고
    • Bayesian image processing into dimensions
    • H. Hart and Z. Liang, “Bayesian image processing into dimensions,” IEEE Trans. Med. Imaging, vol. MI-6, pp. 201-208, 1987.
    • (1987) IEEE Trans. Med. Imaging. , vol.MI-6 , pp. 201-208
    • Hart, H.1    Liang, Z.2
  • 40
    • 0024681039 scopus 로고
    • A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors
    • T. Hebert and R. Leahy, “A generalized EM algorithm for 3-D Bayesian reconstruction from Poisson data using Gibbs priors,” IEEE Trans. Med. Imaging, vol. 8, pp. 194-202, 1989.
    • (1989) IEEE Trans. Med. Imaging. , vol.8 , pp. 194-202
    • Hebert, T.1    Leahy, R.2
  • 41
    • 0023421482 scopus 로고
    • A maximum a posteriori probability expectation maximization algorithm for image reconstruction in emission tomography
    • E. Levitan and G. T. Herman, “A maximum a posteriori probability expectation maximization algorithm for image reconstruction in emission tomography,” IEEE Trans. Med. Imaging, vol. MI-6, pp. 185-192, 1987.
    • (1987) IEEE Trans. Med. Imaging. , vol.MI-6 , pp. 185-192
    • Levitan, E.1    Herman, G.T.2
  • 42
    • 0026222685 scopus 로고
    • Performance evaluation of an iterative image reconstruction algorithm for positron emission tomography
    • G. T. Herman and D. Odhner, “Performance evaluation of an iterative image reconstruction algorithm for positron emission tomography,” IEEE Trans. Med. Imaging, vol. 3, pp. 336-346, 1991.
    • (1991) IEEE Trans. Med. Imaging. , vol.3 , pp. 336-346
    • Herman, G.T.1    Odhner, D.2
  • 43
    • 0024133215 scopus 로고
    • A multigrid expectation maximization reconstruction algorithm for positron emission tomography
    • M. V. Ranganath, A. T. Dhawan, and N. Mullani, “A multigrid expectation maximization reconstruction algorithm for positron emission tomography,” IEEE Trans. Med. Imaging, vol. 7, pp. 273-278, 1988.
    • (1988) IEEE Trans. Med. Imaging. , vol.7 , pp. 273-278
    • Ranganath, M.V.1    Dhawan, A.T.2    Mullani, N.3
  • 44
    • 0022683404 scopus 로고
    • Accelerated iterative reconstruction for positron emission tomography based on the EM algorithm for maximum likelihood estimation
    • R. Lewitt and G. Muehllehner, “Accelerated iterative reconstruction for positron emission tomography based on the EM algorithm for maximum likelihood estimation,” IEEE Trans. Med. Imaging, vol. MI-5, pp. 16-22, 1986.
    • (1986) IEEE Trans. Med. Imaging. , vol.MI-5 , pp. 16-22
    • Lewitt, R.1    Muehllehner, G.2
  • 45
    • 0023363121 scopus 로고
    • A theoretical study of some maximum likelihood algorithms for emission and transmission tomography
    • K. Lange, M. Bahn, and R. Little, “A theoretical study of some maximum likelihood algorithms for emission and transmission tomography,” IEEE Trans. Med. Imaging, vol. MI-6, pp. 106-114, 1987.
    • (1987) IEEE Trans. Med. Imaging. , vol.MI-6 , pp. 106-114
    • Lange, K.1    Bahn, M.2    Little, R.3
  • 46
    • 10344255031 scopus 로고
    • On the acceleration of maximum likelihood algorithms
    • C. E. Metz, C.-T. Chen, “On the acceleration of maximum likelihood algorithms,” SPIE, vol. 914, pp. 344-349, 1988.
    • (1988) SPIE. , vol.914 , pp. 344-349
    • Metz, C.E.1    Chen, C.T.2
  • 47
    • 0023314408 scopus 로고
    • Implementing and accelerating the EM algorithm for positron emission tomography
    • L. Kaufman, “Implementing and accelerating the EM algorithm for positron emission tomography,” IEEE Trans. Med. Imaging, vol. MI-6, pp. 37-51, 1987.
    • (1987) IEEE Trans. Med. Imaging. , vol.MI-6 , pp. 37-51
    • Kaufman, L.1
  • 48
    • 0023363465 scopus 로고
    • A fast reconstruction algorithm for stationary positron emission tomography based on a modified EM algorithm
    • E. Tanaka, “A fast reconstruction algorithm for stationary positron emission tomography based on a modified EM algorithm,” IEEE Trans. Med. Imaging, vol. MI-6, pp. 98-105, 1987.
    • (1987) IEEE Trans. Med. Imaging. , vol.MI-6 , pp. 98-105
    • Tanaka, E.1


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