Multi-phase image modelling with excursion sets

Signal Processing

Volumn 80, Issue 1, 2000, Pages 125-139

  Nott, David J ^a   Richard, J ^b   Wilson, R J ^c  

^a UNIVERSITY OF NEW SOUTH WALES   (Australia)

^b UNIVERSITY OF QUEENSLAND   (Australia)

^c Cooperative Research Centre for Mining Technology and Equipment ^*  (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

FEATURE EXTRACTION; PARAMETER ESTIMATION;

BINARY IMAGES; EXCURSION SETS; MULTI-PHASE IMAGE MODELLING;

IMAGE RECONSTRUCTION;

EID: 0033895565     PISSN: 01651684     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0165-1684(99)00116-4     Document Type: Article

References (26)

1. R.J. Adler, The Geometry of Random Fields, Wiley, New York, 1982.
2. G. Ayala, A. Simó, Stochastic labelling of biological images, Statistica Neerlandica 52 (1998) 141-152.
3. C.B. Begg, R. Gray, Calculation of polychotomous logistic regression parameters using individualized regressions, Biometrika 71 (1) (1984) 11-18.
4. R. Chellappa, A.K. Jain, Markov Random Fields: Theory and Applications, Academic Press, London, 1993.
5. H. Cramér, M.R. Leadbetter, Stationary and Related Stochastic Processes, Wiley, New York, 1967.
6. N.A.C. Cressie, Statistics for Spatial Data (Revised Edition), Wiley, New York, 1993.
7. A. Dembo, C.L. Mallows, L.A. Shepp, Embedding non-negative definite Toeplitz matrices in nonnegative definite circulant matrices, with application to covariance estimation, IEEE Trans. Inform. Theory 35 (6) (1989) 1206-1212.
8. A.P. Dempster, N.M. Laird, D.B. Rubin, Maximum likelihood from incomplete data via the EM algorithm, J. Roy. Statist. Soc. Ser. B 39 (1) (1977) 1-38.
9. J. Diebolt, E.H.S. Ip, Stochastic EM: method and application, in: W.R. Gilks, S. Richardson, D.I. Spiegelhalter (Eds.), Markov chain Monte Carlo in practice, Chapman & Hall, London, 1996, pp. 259-273.
10. C.R. Dietrich, G.N. Newsam, A fast and exact method for multidimensional Gaussian stochastic simulations, Water Resources Res. 29 (8) (1993) 2861-2869.
11. A. Greco, D. Jeulin, J. Serra, The use of the texture analyser to study sinter structure, J. Microscopy 116 (2) (1979) 199-211.
12. M. Haindl, Texture synthesis, CWI Quart. 4 (1991) 305-331.
13. N.L. Hjort, A quasi-likelihood method for estimating parameters in spatial covariance functions, Technical Report SAND/93, Norwegian Computing Centre, Oslo, 1993.
14. N.L. Hjort, H. Omre, Topics in Spatial Statistics (with discussion), Scand. J. Statist. 21 (1994) 289-357.
15. D.W. Hosmer, S. Lemeshow, Applied Logistic Regression, Wiley, New York, 1989.
16. Ch. Lantuèjoul, Substitution random functions, in: A. Soares (Ed.), Geostatistics Tróia '92, Vol. 1, Kluwer Academic Publishers, Dordrecht, 1993, pp. 37-48.
17. B. Lindsay, Composite likelihood methods, in: N.U. Prabhu (Ed.), Statistical Inference from Stochastic Processes, Contemporary Mathematics, Vol. 80, American Mathematical Society, Providence, RI, 1988, pp. 221-239.
18. G. Matheron, H. Beucher, C. de Fouquet, A. Galli, D. Guerillot, C. Ravenne, Conditional simulation of the geometry of fluvio-deltaic reservoirs, SPE paper No. 16753, 62nd Conference of the Society of Petroleum Engineers, Dallas, TX, 1987.
19. I. Molchanov, Labelled random sets, Theory of Probab. Math. Statist. 27 (1984) 113-119.
20. D.J. Nott, T. Rydén, Pairwise likelihood methods for inference in image models, Technical Report No. 1998:14, Institute for Mathematical Statistics, Lund University, Sweden, 1998.
21. D.J. Nott, R.J. Wilson, Parameter estimation for excursion set texture models, Signal Processing 63 (1997) 199-210.
22. D. Stoyan, W.S. Kendall, J. Mecke, Stochastic Geometry and its Applications, Wiley, New York, 1995.
23. G.C.G. Wei, M.A. Tanner, A Monte Carlo implementation of the EM algorithm and poor man's data augmentation algorithms, J. Amer. Statist. Assoc. 85 (411) (1990) 699-704.
24. R.J. Wilson, R.J. Adler, The structure of Gaussian fields near a level crossing, Adv. Appl. Probab. 14 (1982) 543-565.
25. R.J. Wilson, I. Rychlik, Segmentation of mineral textures, Proceedings of Image Segmentation Workshop 96, Sydney, Australia, 1996, pp. 93-96.
26. d, J. Comput. Graph. Statist. 3 (4) (1994) 409-432.