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Volumn 31, Issue 4, 1999, Pages 417-439

A parallel implementation of the maximum likelihood method in positron emission tomography image reconstruction

Author keywords

Data partitioning; Image reconstruction; Iterative method; Maximum likelihood; Parallel algorithms; Positron emission tomography (PET)

Indexed keywords

IMAGE ANALYSIS; IMAGE RECONSTRUCTION; ITERATIVE METHODS; MATHEMATICAL MODELS; MAXIMUM LIKELIHOOD ESTIMATION; PARALLEL ALGORITHMS; PARALLEL PROCESSING SYSTEMS; STATISTICAL METHODS;

EID: 0033339130     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-9473(99)00040-7     Document Type: Article
Times cited : (5)

References (35)
  • 3
    • 0021327145 scopus 로고
    • EM reconstruction algorithms for emission and transmission tomography
    • Carson, R., Lange, K., 1984. EM reconstruction algorithms for emission and transmission tomography. J. Comput. Assisted Tomogr. 8, 302-316.
    • (1984) J. Comput. Assisted Tomogr. , vol.8 , pp. 302-316
    • Carson, R.1    Lange, K.2
  • 4
    • 0029358387 scopus 로고
    • Optimal data replication : A new approach to optimizing parallel em algorithms on a mesh-connected multiprocessor for 3D PET image reconstruction
    • Chen, C.M., Lee, S.-Y., 1995. Optimal data replication : A new approach to optimizing parallel em algorithms on a mesh-connected multiprocessor for 3D PET image reconstruction. IEEE Trans. Nucl. Sci. 42 (4), 1235-1245.
    • (1995) IEEE Trans. Nucl. Sci. , vol.42 , Issue.4 , pp. 1235-1245
    • Chen, C.M.1    Lee, S.-Y.2
  • 5
    • 0026392246 scopus 로고
    • Parallelization of the EM algorithm for 3-D PET image reconstruction
    • Chen, C.M., Lee, S.-Y., Cho, Z.H., 1991. Parallelization of the EM algorithm for 3-D PET image reconstruction. IEEE Trans. Med. Imaging 10 (4), 513-522.
    • (1991) IEEE Trans. Med. Imaging , vol.10 , Issue.4 , pp. 513-522
    • Chen, C.M.1    Lee, S.-Y.2    Cho, Z.H.3
  • 6
    • 0029515745 scopus 로고
    • Parallelized formulation of the maximum likelihood - Expectation maximization algorithm for fine-grain message-passing architectures
    • Cruz-Rivera, J.L., Di Bella, E.V.R., Wills, D.S., Gaylord, T.K., Glytsis, E.N., 1995. Parallelized formulation of the maximum likelihood - expectation maximization algorithm for fine-grain message-passing architectures. IEEE Trans. Med. Imaging 14 (4), 758-762.
    • (1995) IEEE Trans. Med. Imaging , vol.14 , Issue.4 , pp. 758-762
    • Cruz-Rivera, J.L.1    Di Bella, E.V.R.2    Wills, D.S.3    Gaylord, T.K.4    Glytsis, E.N.5
  • 7
    • 0000415165 scopus 로고
    • Image reconstruction from truncated, two-dimensional, parallel projections
    • Defrise, M., Clack, R., Townsend, D.W., 1995. Image reconstruction from truncated, two-dimensional, parallel projections. Inverse Problems 11, 287-313.
    • (1995) Inverse Problems , vol.11 , pp. 287-313
    • Defrise, M.1    Clack, R.2    Townsend, D.W.3
  • 8
    • 0343454935 scopus 로고
    • Image reconstruction methods in positron tomography
    • Division de Medecine Nucleaire, Hopital Cantonal Universitaire de Geneve, Geneva, Switzerland
    • Defrise, M., Townsend, D.W., 1993. Image reconstruction methods in positron tomography. Technical Report CERN 93-02, Division de Medecine Nucleaire, Hopital Cantonal Universitaire de Geneve, Geneva, Switzerland.
    • (1993) Technical Report CERN 93-02
    • Defrise, M.1    Townsend, D.W.2
  • 9
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • Dempster, A.P., Laird, N.M., Rubin, D.B., 1977. Maximum likelihood from incomplete data via the EM algorithm. JRSS 39, 1-38.
    • (1977) JRSS , vol.39 , pp. 1-38
    • Dempster, A.P.1    Laird, N.M.2    Rubin, D.B.3
  • 11
    • 0028331631 scopus 로고
    • A methodology for testing for statistically significant differences between full 3D PET reconstructions algorithms
    • Furuie, S.S., Herman, G.T., Karp, J.S., Kinahan, P.E., Lewitt, R.M., Matej, S., Narayan, T.K., 1994. A methodology for testing for statistically significant differences between full 3D PET reconstructions algorithms. Phys. Med. Biol. 39 (3), 341-354.
    • (1994) Phys. Med. Biol. , vol.39 , Issue.3 , pp. 341-354
    • Furuie, S.S.1    Herman, G.T.2    Karp, J.S.3    Kinahan, P.E.4    Lewitt, R.M.5    Matej, S.6    Narayan, T.K.7
  • 12
    • 0347775796 scopus 로고
    • Evaluation of task-oriented performance of several fully 3-D PET reconstruction algorithms
    • Furuie, S.S., Herman, G.T., Kinahan, P.E., Lewitt, R.M., Matej, S., Narayan, T.K., 1992. Evaluation of task-oriented performance of several fully 3-D PET reconstruction algorithms. Phys. Med. Biol. 37 (3), 705-716.
    • (1992) Phys. Med. Biol. , vol.37 , Issue.3 , pp. 705-716
    • Furuie, S.S.1    Herman, G.T.2    Kinahan, P.E.3    Lewitt, R.M.4    Matej, S.5    Narayan, T.K.6
  • 13
    • 0016472823 scopus 로고
    • A relaxation method for reconstructing objects from noisy x-rays
    • Herman, G.T., 1975. A relaxation method for reconstructing objects from noisy x-rays. Math. Programm. 8, 1-19.
    • (1975) Math. Programm. , vol.8 , pp. 1-19
    • Herman, G.T.1
  • 15
    • 0018495677 scopus 로고
    • On the Bayesian approach to image reconstruction
    • Herman, G.T., Hurwitz, H., Lent, A., Lung, H-P., 1979. On the Bayesian approach to image reconstruction. Inf. Control 42, 60-71.
    • (1979) Inf. Control , vol.42 , pp. 60-71
    • Herman, G.T.1    Hurwitz, H.2    Lent, A.3    Lung, H.-P.4
  • 16
    • 0027659444 scopus 로고
    • Algebraic reconstruction techniques can be made computationally efficient
    • Herman, G.T., Meyer, L.B., 1993. Algebraic reconstruction techniques can be made computationally efficient. IEEE Trans. Med. Imaging 12, 600-609.
    • (1993) IEEE Trans. Med. Imaging , vol.12 , pp. 600-609
    • Herman, G.T.1    Meyer, L.B.2
  • 18
    • 0347145590 scopus 로고    scopus 로고
    • Ph.D. Thesis, Dept. Mathematics and Statistics, Brunel, The University of West London, Kingston Lane, Uxbridge, Middlesex, U.K.
    • Jones, H.M., 1997. A computational investigation of large scale optimisation problems. Ph.D. Thesis, Dept. Mathematics and Statistics, Brunel, The University of West London, Kingston Lane, Uxbridge, Middlesex, U.K.
    • (1997) A Computational Investigation of Large Scale Optimisation Problems
    • Jones, H.M.1
  • 19
    • 0347145589 scopus 로고
    • A review of models and solution methods in positron emission tomography (PET) image reconstruction
    • Dept. Maths and Stats, Brunel University, Uxbridge, U.K.
    • Jones, H.M., Mitra, G., Spinks, T., 1995. A review of models and solution methods in positron emission tomography (PET) image reconstruction. Technical Report TR/10(a)/95, Dept. Maths and Stats, Brunel University, Uxbridge, U.K.
    • (1995) Technical Report TR/10(a)/95
    • Jones, H.M.1    Mitra, G.2    Spinks, T.3
  • 20
    • 0346515263 scopus 로고    scopus 로고
    • A computational investigation of the expectation-maximization algorithm for PET image reconstruction
    • Dept. Maths and Stats, Brunel University, Uxbridge, U.K.
    • Jones, H.M., Mitra, G., Spinks, T., 1996. A computational investigation of the expectation-maximization algorithm for PET image reconstruction. Technical Report TR/08/96, Dept. Maths and Stats, Brunel University, Uxbridge, U.K.
    • (1996) Technical Report TR/08/96
    • Jones, H.M.1    Mitra, G.2    Spinks, T.3
  • 21
    • 0029890055 scopus 로고    scopus 로고
    • The imaging science of positron emission tomography
    • Jones, T., 1996, The imaging science of positron emission tomography, Eur. J. Nucl. Med. 23, 807-813.
    • (1996) Eur. J. Nucl. Med. , vol.23 , pp. 807-813
    • Jones, T.1
  • 22
    • 0023314408 scopus 로고
    • Implementing and accelerating the EM algorithm for positron emission tomography
    • Kaufman, L., 1987a. Implementing and accelerating the EM algorithm for positron emission tomography. IEEE Trans. Med. Imaging MI-6 (1), 37-51.
    • (1987) IEEE Trans. Med. Imaging , vol.MI-6 , Issue.1 , pp. 37-51
    • Kaufman, L.1
  • 23
    • 0346515264 scopus 로고
    • Implementing the EM algorithm on vector machines
    • Kaufman, L., 1987b. Implementing the EM algorithm on vector machines. IEEE Trans. Med. Imaging MI-6 (1), 24-57.
    • (1987) IEEE Trans. Med. Imaging , vol.MI-6 , Issue.1 , pp. 24-57
    • Kaufman, L.1
  • 24
    • 0027607776 scopus 로고
    • Maximum likelihood, least squares and penalized least squares for PET
    • Kaufman, L., 1993. Maximum likelihood, least squares and penalized least squares for PET. IEEE Trans. Med. Imaging 12 (2), 200-214.
    • (1993) IEEE Trans. Med. Imaging , vol.12 , Issue.2 , pp. 200-214
    • Kaufman, L.1
  • 25
    • 0025530677 scopus 로고
    • An overview of Bayesian methods in image reconstruction
    • Lange, K., 1990a. An overview of Bayesian methods in image reconstruction. Digital Image: Synthesis and Inverse Optics 1351, 270-287.
    • (1990) Digital Image: Synthesis and Inverse Optics , vol.1351 , pp. 270-287
    • Lange, K.1
  • 26
    • 0025499943 scopus 로고
    • Multidimensional digital image representations using generalized Kaiserbessel window functions
    • Lange, R.M., 1990b. Multidimensional digital image representations using generalized Kaiserbessel window functions. J. Opt. Soc. Amer. 7, 1834-1846.
    • (1990) J. Opt. Soc. Amer. , vol.7 , pp. 1834-1846
    • Lange, R.M.1
  • 27
    • 0026544838 scopus 로고
    • Alternatives to voxels for image representation in iterative reconstruction algorithms
    • Lewitt, R.M., 1992. Alternatives to voxels for image representation in iterative reconstruction algorithms. Phys. Med. Biol. 37, 705-716.
    • (1992) Phys. Med. Biol. , vol.37 , pp. 705-716
    • Lewitt, R.M.1
  • 28
    • 0028351749 scopus 로고
    • Three-dimensional reconstruction for PET by multi-slice rebinning and axial image filtering
    • Lewitt, R.M., Muehllehner, G., Karp, J.S., 1994. Three-dimensional reconstruction for PET by multi-slice rebinning and axial image filtering. Phys. Med. Biol. 39, 321-340.
    • (1994) Phys. Med. Biol. , vol.39 , pp. 321-340
    • Lewitt, R.M.1    Muehllehner, G.2    Karp, J.S.3
  • 29
    • 0023670085 scopus 로고
    • Stopping rule for the mle algorithm based on statistical hypothesis testing
    • LLacer, J., Veklerov, E., 1987. Stopping rule for the mle algorithm based on statistical hypothesis testing. IEEE Trans. Med. Imaging MI-6 (4), 313-319.
    • (1987) IEEE Trans. Med. Imaging , vol.MI-6 , Issue.4 , pp. 313-319
    • Llacer, J.1    Veklerov, E.2
  • 30
    • 0024683826 scopus 로고
    • Feasible images and practical stopping rules for iterative algorithms in emission tomography
    • LLacer, J., Veklerov, E., 1989. Feasible images and practical stopping rules for iterative algorithms in emission tomography. IEEE Trans. Med. Imaging 8 (2), 186-193.
    • (1989) IEEE Trans. Med. Imaging , vol.8 , Issue.2 , pp. 186-193
    • Llacer, J.1    Veklerov, E.2
  • 32
    • 0023422273 scopus 로고
    • Noise and edge artifacts in maximum-likelihood reconstructions for emission tomography
    • Miller, M.T., Politte, D.G., Snyder, D.L., Thomas, L.J., 1987. Noise and edge artifacts in maximum-likelihood reconstructions for emission tomography. IEEE Trans. Med. Imaging MI-6, 228-238.
    • (1987) IEEE Trans. Med. Imaging , vol.MI-6 , pp. 228-238
    • Miller, M.T.1    Politte, D.G.2    Snyder, D.L.3    Thomas, L.J.4
  • 33
    • 0020194763 scopus 로고
    • Maximum likelihood reconstruction for emission tomography
    • Shepp, L.A., Vardi, Y., 1982. Maximum likelihood reconstruction for emission tomography. IEEE Trans. Med. Imaging MI-1 (2).
    • (1982) IEEE Trans. Med. Imaging , vol.MI-1 , Issue.2
    • Shepp, L.A.1    Vardi, Y.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.