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Original Articles

Three-dimensional Bayesian image analysis and confocal microscopy

, &
Pages 29-46 | Received 03 Oct 2008, Accepted 15 Jun 2009, Published online: 26 May 2010

References

  • Al-Awadhi , F. , Hurn , M. A. and Jennison , C. 2004 . Improving the acceptance rate of reversible jump MCMC proposals . Stat. Probab. Lett. , 69 : 189 – 198 .
  • Al-Awadhi , F. , Jennison , C. and Hurn , M. A. 2004 . Statistical image analysis for a confocal microscopy two-dimensional section of cartilage growth . J. R. Stat. Soc. Ser C (Appl. Stat.) , 53 : 31 – 49 .
  • Amit , Y. , Grenander , U. and Piccioni , M. 1991 . Structural image restoration through deformable templates . J. Am. Stat. Assoc. , 86 : 376 – 387 .
  • Baddeley , A. J. and van Lieshout , M. N.M. 1993 . “ Stochastic geometry models in high-level vision ” . In Statistics and Images , Edited by: Mardia , K. V. and Kanji , G. K. 231 – 256 . Abingdon : Carfax Publishing .
  • Besag , J. , Green , P. , Higdon , D. and Mengersen , K. 1995 . Bayesian computation and stochastic systems (with discussion) . Stat. Sci. , 10 : 3 – 66 .
  • De Pasquale , F. and Stander , J. 2009 . A multi-scale template method for shape detection with bio-medical applications . Pattern Anal. Appl. , 12 : 179 – 192 .
  • Diggle , P. J. 2003 . Statistical Analysis of Spatial Point Patterns , 2 , London : Arnold .
  • Frigessi , A. and Rue , H. 1997 . Bayesian image classification with Baddeley's delta loss . J. Comput. Graph. Stat. , 6 : 55 – 73 .
  • Geyer , C. J. 1991 . Markov chain Monte Carlo maximum likelihood . Comput. Sci. Stat. , 23 : 156 – 163 .
  • Gilks , W. , Richardson , S. and Spiegelhalter , D. 1996 . Markov Chain Monte Carlo in Practice , London : Chapman and Hall .
  • Glasbey , C. and Horgan , G. 1995 . Image Analysis for the Biological Sciences , Chichester : Wiley .
  • Green , P. J. 1995 . Reversible jump Markov chain Monte Carlo computation and Bayesian model determination . Biometrika , 82 : 711 – 732 .
  • Green , P. J. and Han , X. L. 1992 . “ Metropolis methods, Gaussian proposals and antithetic variables ” . In Stochastic Models, Statistical Methods and Algorithms in Image Analysis , Edited by: Barone , P. , Frigessi , A. and Piccioni , M. Vol. 74 , 142 – 164 . Berlin : Springer-Verlag . Lecture Notes in Statistics
  • Grenander , U. and Miller , M. I. 1994 . Representations of knowledge in complex systems (with discussion) . J. R. Stat. Soc. Ser. B , 56 : 549 – 603 .
  • Hastings , W. 1970 . Monte Carlo sampling methods using Markov chains and their applications . Biometrika , 57 : 97 – 109 .
  • Jain , A. K. , Zhong , Y. and Lakshmanan , S. 1996 . Object matching using deformable templates . IEEE Trans. Pattern Anal. Mach. Intell. , 18 : 267 – 278 .
  • Mardia , K. V. and Hainsworth , T. J. 1993 . Image warping and Bayesian reconstruction with grey-level templates, Statistics and Images . J. Appl. Stat. , 20 : 257 – 280 .
  • Mardia , K. V. , Qian , W. , Shah , D. and de Souza , K. 1997 . Deformable template recognition of multiple occluded objects . IEEE Trans. Pattern Anal. Mach. Intell. , 19 : 1036 – 1042 .
  • Matheron , G. 1975 . Random Sets and Integral Geometry , New York : Wiley .
  • Nicholls , G. 1998 . Bayesian image analysis with Markov chain Monte Carlo and coloured continuum triangulation models . J. R. Stat. Soc. Ser. B , 60 : 643 – 659 .
  • Noda , M. 1993 . Cellular and Molecular Biology of Bone , San Diego : Academic Press .
  • Pawley , J. B. 1996 . Handbook of Biological Confocal Microscopy , New York : Plenum Press .
  • Pievatolo , A. and Green , P. J. 1995 . Object restoration through dynamic polygons . J. R. Stat. Soc. Ser. B , 60 : 609 – 626 .
  • Qian , W. , Titterington , D. M. and Chapman , J. N. 1996 . An image analysis problem in electron microscopy . J. Am. Stat. Assoc. , 91 : 944 – 952 .
  • Rue , H. and Hurn , M. A. 1999 . Bayesian object identification . Biometrika , 86 : 649 – 660 .
  • Rue , H. and Syversveen , A. R. 1998 . Bayesian object recognition with Baddeley's delta loss . Adv. Appl. Probab. , 30 : 64 – 85 .
  • Serra , J. 1982 . Image Analysis and Mathematical Morphology , London : Academic Press .
  • Shaw , P. J. and Rawlins , D. J. 1991 . The point spread function of a confocal microscope: Its measurement and use in deconvolution of 3-D data . J. Microsc. , 163 : 151 – 165 .
  • Spiegel , M. R. 1967 . Schaum's Outline of Theory and Problems of Theoretical Mechanics: With an Introduction to Lagrange's Equations and Hamiltonian Theory , New York : MacGraw-Hill .
  • Tjelmeland , H. and Besag , J. E. 1998 . Markov random fields with higher-order interactions . Scand. J. Stat. , 25 : 415 – 433 .
  • Van Lieshout , M. N.M. 2008 . Depth map calculation for a variable number of moving objects using Markov sequential object processes . IEEE Trans. Pattern Anal. Mach. Intell. , 30 : 1308 – 1312 .
  • Wilson , T. 1990 . Confocal Microscopy , London : Academic Press .
  • Woessner , J. F. and Howell , D. S. 1993 . Joint Cartilage Degradation, Basic and Clinical Aspects , New York : Marcel Dekker .

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