36
Views
29
CrossRef citations to date
0
Altmetric
Theory and Method

A Model for Segmentation and Analysis of Noisy Images

Pages 230-241 | Received 01 Sep 1991, Published online: 27 Feb 2012

References

  • Besag , J. E. 1972 . “Nearest-Neighbour Systems and the Auto-Logistic Model of Binary Data,” . Journal of the Royal Statistical Society , 34 : 75 – 83 . Ser. B
  • Besag , J. E. 1974 . “Spatial Interaction and the Statistical Analysis of Lattice Systems,” . Journal of the Royal Statistical Society , 36 : 192 – 225 . Ser. B
  • Besag , J. E. 1986 . “On the Statistical Analysis of Dirty Pictures,” . Journal of the Royal Statistical Society , 48 : 259 – 302 . Ser. B
  • Besag , J. E. 1989 . “Towards Bayesian Image Analysis.” . Journal of Applied Statistics , 16 : 395 – 407 .
  • Besag , J. , York , J. and Mollie , A. 1991 . “Bayesian Image Restoration With Two Applications in Spatial Statistics,” . Annals of the Institute of Statistical Mathematics , 43 : 1 – 59 .
  • Derin , H. and Elliot , H. 1987 . “Modeling and Segmentation of Noisy and Textured Images Using Gibbs Random Fields,” . IEEE Transactions on Pattern Analysis and Machine Intelligence , 1 : 39 – 55 .
  • Derin , H. , Elliot , H. , Cristi , R. and Geman , D. 1984 . “Bayes Smoothing Algorithms for Segmentation of Binary Images Modeled by Markov Random Fields.” . IEEE Transactions on Pattern Analysis and Machine Intelligence , 6 : 707 – 720 .
  • Gelfand , A. E. and Smith , A. F. M. 1990 . “Sampling-Based Approaches to Calculating Marginal Densities,” . Journal of the American Statistical Association , 85 : 398 – 409 .
  • Geman , S. and Geman , D. 1984 . “Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images,” . IEEE Transactions on Pattern Analysis and Machine Intelligence , 6 : 721 – 741 .
  • Geman , S. and McClure , D. E. “Bayesian Image Analysis: An Application to Single Photon Emission Tomography.” . Proceedings of the American Statistical Association. Statistical Computing Section . pp. 12 – 18 .
  • Geman , S. and McClure , D. E. 1987 . “Statistical Methods for Tomographic Image Reconstruction,” . Bulletin of the International Statistical Institute , 52 : 5 – 21 .
  • Gindi , G. , Lee , M. , Rangarajan , A. and Zubai , I. G. 1991 . “Bayesian Reconstruction of Functional Images Using Registered Anatomical Images as Priors,” . In Information Processing in Medical Imaging , Edited by: Colchester , A. C. F. and Hawkes , D. J. 121 – 131 . Berlin : Springer-Verlag .
  • Green , P. J. 1990 . “Bayesian Reconstructions From Emission Tomography Data Using a Modified EM Algorithm,” . IEEE Transactions on Medical Imaging , MI-9 : 84 – 93 .
  • Hoffman , E. H. , Cutler , P. D. , Digby , W. M. and Mazziotta , J. C. 1990 . “3-D Phantom to Simulate Cerebral Blood Row and Metabolic Images for PET,” . IEEE Transactions on Nuclear Science , 37 : 616 – 620 .
  • Johnson , V. E. , Wong , W. H. , Hu , X. and Chen , C. T. 1991a . “Data Augmentation Schemes Applied to Image Restoration,” . In Medical Images: Formation, Handling, and Evaluation , Edited by: Todd-Pokropek and Viergever . 345 – 360 . Berlin : Springer-Verlag .
  • Johnson , V. E. , Wong , W. H. , Hu , X. and Chen , C. T. 1991 . “Aspects of Image Restoration Using Gibbs Priors: Boundary Modeling, Treatment of Blurring, and Selection of Hyperparameters,” . IEEE Transactions on Pattern Analysis and Machine Intelligence , 5 : 412 – 425 .
  • Leahy , R. and Yan , X. 1991 . “Incorporation of Anatomical MR Data for Improved Functional Imaging With PET,” . In Information Processing in Medical Imaging , Edited by: Colchester , A. C. F. and Hawkes , D. J. 105 – 120 . Berlin : Springer-Verlag .
  • Liang , Z. , Jaszczak , R. , Coleman , R. and Johnson , V. E. 1991 . “Simultaneous Reconstruction, Segmentation, and Edge Enhancement of Relatively Piecewise Continuous Images with Intensity Information,” . Medical Physics , 18 : 394 – 401 .
  • Metropolis , N. , Rosenbluth , A. W. , Rosenbluth , M. N. , Teller , A. H. and Teller , E. 1953 . “Equations of State Calculations by Fast Computing Machines,” . Journal of Chemistry and Physics , 21 : 1087 – 1092 .
  • Ripley , B. 1987 . Stochastic Simulation , New York : John Wiley .
  • Shepp , L. and Vardi , Y. 1982 . “Maximum Likelihood Reconstruction for Emission Tomography,” . IEEE Transactions on Medical Imaging , 1 : 113 – 122 .
  • Sloane , N. J. A. 1988 . Sphere Packings, Lattices, and Groups , New York : Springer-Verlag .
  • Tanner , M. and Wong , W. H. 1987 . “Calculation of Posterior Distributions by Data Augmentation,” . Journal of the American Statistical Association , 82 : 528 – 540 .
  • Vardi , Y. , Shepp , L. and Kaufman , L. 1985 . “A Statistical Model for Positron Emission Tomography,” . Journal of the American Statistical Association , 80 : 8 – 25 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.