Models for point processes observed with noise

Biometrika

Volumn 87, Issue 2, 2000, Pages 235-249

  Lund, Jens ^a   Rudemo, Mats ^b  

^a UNIVERSITY OF COPENHAGEN   (Denmark)

^b CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

Censoring of point processes; Conditional likelihood; Image data; Incomplete observation; Matching of point sets; Random displacement; Superposition; Thinning

Indexed keywords

EID: 0000638720     PISSN: 00063444     EISSN: None     Source Type: Journal    
DOI: 10.1093/biomet/87.2.235     Document Type: Article

References (15)

1. CROSS, A. D. J. & HANCOCK, E. R. (1998). Graph matching with a dual step EM algorithm. IEEE Trans. Pat. Anal. Mach. Intel. 20, 1236-53.
2. DALEY, D. J. & VERE-JONES, D. (1988). An Introduction to the Theory of Point Processes. New York: Springer-Verlag.
3. DIEBOLT, J. & CELEUX, G. (1993). Asymptotic properties of a stochastic EM algorithm for estimating mixture proportions. Stoch. Mod. 9, 599-613.
4. DRALLE, K. & RUDEMO, M. (1996). Stem number estimation by kernel smoothing of aerial photos. Can. J. Forest Res. 26, 1228-36.
5. DRALLE, K. & RUDEMO, M. (1997). Automatic estimation of individual tree positions from aerial photos. Can. J. Forest Res. 27, 1728-36.
6. GEYER, C. J. (1996). Estimation and optimization of functions. In Markov Chain Monte Carlo in Practice, Ed. W. R. Gilks, S. Richardson and D. J. Spiegelhalter, pp. 241-58. London: Chapman and Hall.
7. HOFFMANN-JØRGENSEN, J. (1994). Probability with a View toward Statistics, 2. London: Chapman and Hall.
8. LARSEN, M. & RUDEMO, M. (1998). Optimizing templates for finding trees in aerial photographs. Pat. Recog. Lett. 19, 1153-62.
9. MCLACHLAN, G. J. & KRISHNAN, T. (1997). The EM Algorithm and Extensions. New York: Wiley.
10. PENTTINEN, A., STOYAN, D. & HENTTONEN, H. M. (1992). Marked point processes in forest statistics. Forest Sci. 38, 806-24.
11. SMITH, A. F. M. & ROBERTS, G. O. (1993). Bayesian computation via the Gibbs sampler and related Markov chain Monte Carlo methods. J. R. Statist. Soc. B 55, 3-23.
12. STOYAN, D., KENDALL, W. S. & MECKE, J. (1995). Stochastic Geometry and its Applications, 2nd ed. New York: Wiley.
13. TITTERINGTON, D. M., SMITH, A. F. M. & MAKOV, U. E. (1985). Statistical Analysis of Finite Mixture Distributions. New York: Wiley.
14. VAN LIESHOUT, M. N. M. (1994). Stochastic annealing for nearest-neighbour point processes with application to object recognition. Adv. Appl. Prob. 26, 281-300.
15. YOUNG, D., GLASBEY, C. A., GRAY, A. J. & MARTIN, N. J. (1998). Towards automatic cell identification in DIC microscopy. J. Microscopy 192, 186-93.