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Volumn 6, Issue 6, 1997, Pages 844-861

Approximate maximum likelihood hyperparameter estimation for Gibbs priors

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; IMAGE QUALITY; IMAGE RECONSTRUCTION; INVERSE PROBLEMS; MARKOV PROCESSES; MATHEMATICAL MODELS; MONTE CARLO METHODS; OPTIMIZATION; PARAMETER ESTIMATION;

EID: 0031166023     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.585235     Document Type: Article
Times cited : (106)

References (42)
  • 2
    • 0000913755 scopus 로고
    • Spatial interaction and the statistical analysis of lattice systems
    • J. Besag, "Spatial interaction and the statistical analysis of lattice systems (with discussion)," J. Roy. Stat. Soc. B, vol. 36, pp. 192-326, 1974.
    • (1974) J. Roy. Stat. Soc. B , vol.36 , pp. 192-326
    • Besag, J.1
  • 3
    • 0000013152 scopus 로고
    • On the statistical analysis of dirty pictures
    • _, "On the statistical analysis of dirty pictures," J. Roy. Stat. Soc. B, vol. 48, no. 3, pp. 259-302, 1986.
    • (1986) J. Roy. Stat. Soc. B , vol.48 , Issue.3 , pp. 259-302
  • 4
    • 0141477361 scopus 로고
    • Bayesian computation and stochastic systems
    • J. Besag, P. Green, D. Higdon, and K. Mengersen, "Bayesian computation and stochastic systems," Stat. Sci., vol. 10, pp. 3-66, 1995.
    • (1995) Stat. Sci. , vol.10 , pp. 3-66
    • Besag, J.1    Green, P.2    Higdon, D.3    Mengersen, K.4
  • 6
    • 33144461832 scopus 로고
    • Fast numerical methods for emission and transmission tomographic reconstruction
    • Johns Hopkins Univ., Baltimore, MD
    • C. Bouman and K. Sauer, "Fast numerical methods for emission and transmission tomographic reconstruction," in Proc. Conf. Information Science and Systems, Johns Hopkins Univ., Baltimore, MD, 1993.
    • (1993) Proc. Conf. Information Science and Systems
    • Bouman, C.1    Sauer, K.2
  • 8
    • 0002629270 scopus 로고
    • Maximum likelihood from incomplete data via the EM algorithm
    • A. Dempster, N. Laird, and D. Rubin, "Maximum likelihood from incomplete data via the EM algorithm," J. Roy. Stat. Soc., vol. 29, pp. 1-38, 1977.
    • (1977) J. Roy. Stat. Soc. , vol.29 , pp. 1-38
    • Dempster, A.1    Laird, N.2    Rubin, D.3
  • 9
    • 34250263445 scopus 로고
    • Smoothing noisy data with spline function
    • P. Craven and G. Wahba, "Smoothing noisy data with spline function," Numerische Math., vol. 31, pp. 377-403, 1979.
    • (1979) Numerische Math. , vol.31 , pp. 377-403
    • Craven, P.1    Wahba, G.2
  • 10
    • 0021518209 scopus 로고
    • Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images
    • S. Geman and D. Geman, "Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-6, pp. 721-741, 1984.
    • (1984) IEEE Trans. Pattern Anal. Machine Intell. , vol.PAMI-6 , pp. 721-741
    • Geman, S.1    Geman, D.2
  • 11
    • 0002200424 scopus 로고
    • Statistical methods for tomographic image reconstruction
    • S. Geman and D. McClure, "Statistical methods for tomographic image reconstruction," in Proc. 46th Sess. ISI, Bulletin ISI, 1987, vol. 52.
    • (1987) Proc. 46th Sess. ISI, Bulletin ISI , vol.52
    • Geman, S.1    McClure, D.2
  • 12
    • 0026151642 scopus 로고
    • Parallel and deterministic algorithms for MRFs: Surface reconstruction and integration
    • D. Geiger and F. Girosi, "Parallel and deterministic algorithms for MRFs: Surface reconstruction and integration," IEEE Trans. Pattern Anal. Mach. Intell., vol. 12, pp. 401-412, 1991.
    • (1991) IEEE Trans. Pattern Anal. Mach. Intell. , vol.12 , pp. 401-412
    • Geiger, D.1    Girosi, F.2
  • 13
    • 0000051109 scopus 로고
    • Constrained Monte Carlo maximum likelihood for dependent data
    • Geyer and Thompson, "Constrained Monte Carlo maximum likelihood for dependent data," J. Roy. Stat. Soc. B, vol. 54, pp. 657-699, 1992.
    • (1992) J. Roy. Stat. Soc. B , vol.54 , pp. 657-699
    • Geyer1    Thompson2
  • 14
    • 0027635090 scopus 로고
    • Partition function estimation of Gibbs random field images using Monte Carlo simulations
    • G. G. Potamianos and J. K. Goutsias, "Partition function estimation of Gibbs random field images using Monte Carlo simulations," IEEE Trans. Inform. Theory, vol. 39, pp. 1322-1332, 1993.
    • (1993) IEEE Trans. Inform. Theory , vol.39 , pp. 1322-1332
    • Potamianos, G.G.1    Goutsias, J.K.2
  • 15
    • 0000570697 scopus 로고
    • Analysis of discrete ill-posed problems by means of the L-curve
    • P. C. Hansen, "Analysis of discrete ill-posed problems by means of the L-curve," SIAM Rev., vol. 34, no. 4, pp. 561-580, 1992.
    • (1992) SIAM Rev. , vol.34 , Issue.4 , pp. 561-580
    • Hansen, P.C.1
  • 17
    • 0026923442 scopus 로고
    • Statistic-based MAP image reconstruction from Poisson data using Gibbs priors
    • Sept.
    • T. J. Hebert and R. Leahy, "Statistic-based MAP image reconstruction from Poisson data using Gibbs priors," IEEE Trans. Signal Processing, vol. 40, no. 9, pp. 2290-2303, Sept. 1992.
    • (1992) IEEE Trans. Signal Processing , vol.40 , Issue.9 , pp. 2290-2303
    • Hebert, T.J.1    Leahy, R.2
  • 18
    • 0026154623 scopus 로고
    • Image restoration using Gibbs priors: Boundary modeling, treatment of blurring, and selection of hyperparameter
    • V. E. Johnson, W. H. Wong, X. Hu, and C. Chen, "Image restoration using Gibbs priors: Boundary modeling, treatment of blurring, and selection of hyperparameter," IEEE Trans. Pattern Anal. Machine Intell., vol. 13, pp. 413-425, 1991.
    • (1991) IEEE Trans. Pattern Anal. Machine Intell. , vol.13 , pp. 413-425
    • Johnson, V.E.1    Wong, W.H.2    Hu, X.3    Chen, C.4
  • 19
    • 0024715149 scopus 로고
    • Simultaneous parameter estimation and segmentation of Gibbs random fields using simulated annealing
    • S. Lakshmanan and H. Derin, "Simultaneous parameter estimation and segmentation of Gibbs random fields using simulated annealing," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, pp. 799-813, 1989.
    • (1989) IEEE Trans. Pattern Anal. Machine Intell. , vol.11 , pp. 799-813
    • Lakshmanan, S.1    Derin, H.2
  • 20
    • 84983600489 scopus 로고
    • Incorporation of anatomical MR data for improved functional imaging with PET
    • A. C. F. Colchester and D. J. Hawkes, Eds. New York: Springer-Verlag
    • R. Leahy and X. Yan, "Incorporation of anatomical MR data for improved functional imaging with PET," in Information Processing in Medical Imaging, A. C. F. Colchester and D. J. Hawkes, Eds. New York: Springer-Verlag, 1991, pp. 105-120.
    • (1991) Information Processing in Medical Imaging , pp. 105-120
    • Leahy, R.1    Yan, X.2
  • 26
    • 0027277319 scopus 로고
    • On the estimation of hyperparameters in Bayesian approach of solving inverse problems
    • A. Mohammad-Djafari, "On the estimation of hyperparameters in Bayesian approach of solving inverse problems," in Proc. ICASSP, 1993, pp. V495-V498.
    • (1993) Proc. ICASSP
    • Mohammad-Djafari, A.1
  • 27
    • 0028711560 scopus 로고
    • Fast gradient-based methods for Bayesian reconstruction of transmission and emission PET images
    • E. Mumcuoglu, R. Leahy, S. Cherry, and Z. Zhou, "Fast gradient-based methods for Bayesian reconstruction of transmission and emission PET images," IEEE Trans. Med. Imag., vol. 13, no. 4, pp. 687-701, 1994.
    • (1994) IEEE Trans. Med. Imag. , vol.13 , Issue.4 , pp. 687-701
    • Mumcuoglu, E.1    Leahy, R.2    Cherry, S.3    Zhou, Z.4
  • 28
    • 0029805550 scopus 로고    scopus 로고
    • Bayesian reconstruction of PET images: Methodology and performance analysis
    • E. Mumcuoglu, R. Leahy, and S. Cherry, "Bayesian reconstruction of PET images: Methodology and performance analysis," Phys. Med. Biol., vol. 41, no. 9, pp. 1-31, 1996.
    • (1996) Phys. Med. Biol. , vol.41 , Issue.9 , pp. 1-31
    • Mumcuoglu, E.1    Leahy, R.2    Cherry, S.3
  • 33
    • 0026139576 scopus 로고
    • A study of methods of choosing the smoothing parameter in image restoration by regularization
    • A. M. Thompson et al., "A study of methods of choosing the smoothing parameter in image restoration by regularization," IEEE Trans. Pattern Anal. Machine Intell., vol. 13, pp. 326-339, 1991.
    • (1991) IEEE Trans. Pattern Anal. Machine Intell. , vol.13 , pp. 326-339
    • Thompson, A.M.1
  • 34
    • 0000855234 scopus 로고
    • Pitfalls in the numerical solution of ill-posed problems
    • J. Varah, "Pitfalls in the numerical solution of ill-posed problems," SIAM J. Sci. Stat. Comput., vol. 4, pp. 164-176, 1983.
    • (1983) SIAM J. Sci. Stat. Comput. , vol.4 , pp. 164-176
    • Varah, J.1
  • 35
    • 0003241881 scopus 로고
    • Spline models for observational data
    • Soc. Ind. Appl. Math., Philadelphia, PA
    • G. Wahba, "Spline models for observational data," in Proc. CBMS-NSF Reg. Conf. Ser. Applied Mathematics, vol. 59, Soc. Ind. Appl. Math., Philadelphia, PA, 1990.
    • (1990) Proc. CBMS-NSF Reg. Conf. Ser. Applied Mathematics , vol.59
    • Wahba, G.1
  • 36
    • 0026938712 scopus 로고
    • The mean field theory in EM procedures for Markov random fields
    • Oct.
    • J. Zhang, "The mean field theory in EM procedures for Markov random fields," IEEE Trans. Signal Processing, vol. 40, pp. 2570-2583, Oct. 1992.
    • (1992) IEEE Trans. Signal Processing , vol.40 , pp. 2570-2583
    • Zhang, J.1
  • 37
    • 0027311601 scopus 로고
    • The mean field theory for image motion estimation
    • J. Zhang and J. Hanauer, "The mean field theory for image motion estimation," in Proc. ICASSP, 1993, pp. V197-V200.
    • (1993) Proc. ICASSP
    • Zhang, J.1    Hanauer, J.2
  • 38
    • 0027308049 scopus 로고
    • The mean field theory in EM procedures for blind Markov random field image restoration
    • Jan.
    • J. Zhang, "The mean field theory in EM procedures for blind Markov random field image restoration," IEEE Trans. Image Processing, vol. 2, pp. 27-40, Jan. 1993.
    • (1993) IEEE Trans. Image Processing , vol.2 , pp. 27-40
    • Zhang, J.1
  • 39
    • 0028466714 scopus 로고
    • Maximum-likelihood parameter estimation for unsupervised stochastic model-based image segmentation
    • Apr.
    • J. Zhang, J. W. Modestino, and D. A. Langan, "Maximum-likelihood parameter estimation for unsupervised stochastic model-based image segmentation," IEEE Trans. Image Processing, vol. 3, pp. 404-420, Apr. 1994.
    • (1994) IEEE Trans. Image Processing , vol.3 , pp. 404-420
    • Zhang, J.1    Modestino, J.W.2    Langan, D.A.3
  • 41
    • 3242734970 scopus 로고
    • Maximum likelihood hyperparameter estimation for Gibbs priors from incomplete data with applications to positron emission tomography
    • Y. Bizais, C. Barillot, and R. Di Paola, Eds. Boston, MA: Kluwer
    • _, "Maximum likelihood hyperparameter estimation for Gibbs priors from incomplete data with applications to positron emission tomography," in Information Processing in Medical Imaging, Y. Bizais, C. Barillot, and R. Di Paola, Eds. Boston, MA: Kluwer, 1995, pp. 39-51.
    • (1995) Information Processing in Medical Imaging , pp. 39-51


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.