Parameter estimation in deformable models using Markov chain Monte Carlo

Proceedings of SPIE - The International Society for Optical Engineering

Volumn 3034, Issue , 1997, Pages 287-298

  Chalana, Vikram ^a   Haynor, David R ^b   Sampson, Paul D ^c   Kim, Yongmin ^d  

^a Parametric Technology Corporation   (United States)

^b UNIVERSITY OF WASHINGTON SCHOOL OF MEDICINE   (United States)

^c UNIVERSITY OF WASHINGTON   (United States)

^d University of Washington   (United States)

Author keywords

Bayesian analysis; Deformable models; EM algorithm; Markov chain Monte Carlo; Parameter estimation

Indexed keywords

BAYESIAN NETWORKS; DEFORMATION; DIGITAL IMAGE STORAGE; IMAGE PROCESSING; IMAGE RECONSTRUCTION; IMAGE REGISTRATION; IMAGE SEGMENTATION; IMAGING SYSTEMS; INFERENCE ENGINES; MARKOV PROCESSES; MATHEMATICAL MODELS; MEDICAL IMAGING; METAL ANALYSIS; MONTE CARLO METHODS; PROBABILITY DISTRIBUTIONS; UNCERTAIN SYSTEMS;

AUTOMATIC ESTIMATIONS; BAYESIAN ANALYSIS; BAYESIAN INFERENCES; DEFORMABLE MODELS; EM ALGORITHM; MARKOV CHAIN MONTE CARLO; MARKOV CHAIN MONTE CARLO METHODS; STATISTICAL FRAMEWORKS; SYSTEMATIC METHODS;

PARAMETER ESTIMATION;

EID: 57649153174     PISSN: 0277786X     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1117/12.274096     Document Type: Conference Paper

References (25)

1. V. Chalana, D. T. Linker, D. R. Haynor, and Y. Kim, "A multiple active contour model for cardiac boundary detection in echocardiographic sequences," IEEE Trans. Med. Imag. 15, pp. 290-298. 1996.
2. L. D. Cohen, "Note on active contour models and balloons," CGVIP: Image Understanding 53, pp. 2 11-218, 1991.
3. K.M.Hanson, "Kinky tomographic reconstuction," in SPIE Medical Imaging Conf., vol. 2710, pp. 156-166. 1996.
4. R. Bajcsy and S. Covacic, "Multiresolution elastic matching," Computer Vision Graphics and Image Proc. 46, pp. 1-21, 1989.
5. C. Reinsch, "Smoothing by spline functions," Numerical Mathematics 10, pp. 177-183, 1967.
6. B. Silverman, "Some aspects of spline smoothing approach to non-parametric regression curve fitting," J. Royal Stat. Soc., Ser. B 47, pp. 1-52, 1985.
7. G. Wahba, "Smoothing noisy data with spline functions," Numerical Mathematics 24, pp. 383-393, 1975.
8. C. Broit, Optimal Registration of Deformed Images. PhD thesis, University of Pennsylvania, 1981.
9. D. Terzopoulos, J. Platt, A. Barr, and K. Fleischer, "Elastically deformable models," ACM Trans. Computer Graphics 21(4), pp. 205-229, 1987.
10. D. Terzopoulos and A. Witkin, "Physically based models with rigid and deformable components," IEEE Computer Graphics and Applications , pp. 41-51, Nov. 1988.
11. M. Kass, A. Witkin, and D. Terzopolous, "Snakes: Active contour models," Int. J. Computer Vision 1, pp. 321-331. 1988.
12. N. Rougon and F. Preteux, "Deformable markers: Mathematical morphology for active contour models control," in SPIE Conf. on Image Algebra and Morphological Image Processing, vol. 1568, pp. 78-89, 1991.
13. P. Fua and Y. G. Leclerc, "Model driven edge detection," Machine Vision and Applications 3, pp. 45-56, 1990.
14. R. Samadani, "Adaptive snakes: Control of damping and material parameters," in SPIE Conf. on Geometric Methods in Computer Vision '91, vol. 1570, pp. 202-213, July 1991.
15. P. Craven and G. Wahba, "Smoothing noisy data with siline functions," Numerical Mathematics 31. pp. 377-403, 1979.
16. G. Archer and D. Titterington, "On some Bayesian regularization methods for image restoration," IEEE Trans. Image Proc. 4, pp. 989-995, 1995.
17. D. J. MacKay, "A practical Bayesian framework for backpropagation networks," Neural Computation 4, pp. 448-472, 1992.
18. A. Dempster, N. Laird, and D. Rubin, "Maximum likelihood from incomplete data via the EM algorithm," J. Royal Statistical Society, Ser. B 39, pp. 1-38, 1977.
19. J. Besag, "On the statistical analysis of dirty pictures," J. Royal Stat. Soc., Ser. B 48, pp. 259-279, 1986.
20. D. Rubin, "Computational aspects of analysing random effects/longitudinal models," Statistics in Medicine 11, pp. 1809-1821, 1992.
21. M. Tanner and W. Wong, "The calculation of posterior distributions by data augementation," J. American Statistical Assoc. 82, pp. 528-550, 1987.
22. S. Geman and D. Geman, "Stochastic relaxation, Gibbs distribution, and Bayesian restoration of images," IEEE Trans. Patt. Anal. Mach. Intell. 6, pp. 721-741, 1984.
23. A. Smith and G. Roberts, "Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods," J. Royal Stat. Soc., Ser. B 55, pp. 3-23. 1993.
24. L. D. Cohen and I. Cohen, "Finite-element methods for active contour models and balloons for 2-D and 3-D images," IEEE Trans. Patt. Anal. Mach. Intell. 15, pp. 1131-1147, 1993.
25. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes in C: the Art of Scientific Computing, Cambridge University Press, 2nd ed., 1992.