Multiresolution Gauss-Markov random field models for texture segmentation

IEEE Transactions on Image Processing

Volumn 6, Issue 2, 1997, Pages 251-267

  Krishnamachari, Santhana ^a,b   Chellappa, Rama ^a,c  

^a IEEE   (United States)

^b Image Processing Department   (United States)

^c UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; IMAGE QUALITY; MARKOV PROCESSES; PARAMETER ESTIMATION; PROBABILITY;

BRODATZ TEXTURE; GAUSS MARKOV RANDOM FIELDS (GMRF); ITERATED CONDITIONAL MODE (ICM); KULLBACK LEIBLER DISTANCE; TEXTURE SEGMENTATION;

IMAGE SEGMENTATION;

EID: 0031076642     PISSN: 10577149     EISSN: None     Source Type: Journal    
DOI: 10.1109/83.551696     Document Type: Article

References (35)

1. J. Besag, "On the statistical analysis of dirty pictures," J. Royal Stat. Soc., vol. 48, pp. 259-302, 1986.
2. C. Bouman and B. Liu, "Multiple resolution segmentation of textured images," IEEE Trans. Pattern Anal. Machine Intell., vol. 13, pp. 99-113, Feb. 1991.
3. S. Chatterjee and R. Chellappa, "Maximum likelihood texture segmentation using Gaussian Markov random field models," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, June 1985.
4. R. Chellappa, "Two-dimensional discrete Gaussian Markov random field models for image processing," in Progress in Pattern Recognition, L. N. Kanal and A. Rosenfeld, Eds. New York: Elsevier, 1985, pp. 79-112.
5. P. C. Chen and T. Pavlidis, "Image segmentation as an estimation problem," in Comput. Vision, Graphics, Image Processing, vol. 12, pp. 153-173 1980.
6. F. S. Cohen and D. B. Cooper, "Simple parallel hierarchical and relaxation algorithms for segmenting noncausal Markovian random fields," IEEE Trans. Pattern. Anal. Machine Intell., vol. PAMI-9, pp. 195-219, Mar. 1987.
7. G. R. Cross and A. K. Jain, "Markov random field texture models," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-5, pp. 25-39, Jan. 1983.
8. L. S. Davis, S. Johns, and J. K. Aggrawal, "Texture analysis using generalized co-occurrence matrices," IEEE Trans. Pattern Anal. Machine Intell., vol. PAMI-1, pp. 251-259, July 1979.
9. H. Derin and H. Elliot, "Modeling and segmentation of noisy and textured images using Gibbs random field," IEEE Trans. Pattern Anal Machine Intell., vol. PAMI-9, pp. 39-55, Jan. 1987.
10. C. Domb and M. Green, Phase Transition and Critical Phenomena. New York: Academic, 1979.
11. D. Geiger and F. Girosi, "Parallel and deterministic algorithms for MRFs: Surface reconstruction," IEEE Trans. Pattern Anal Machine Intell., vol. 13, pp. 401-413, May 1991.
12. S. Geman and D. Geman, "Stochastic relaxation, Gibbs distribution and the Bayesian restoration of images," IEEE Trans. Pattern. Anal Machine Intell., vol. PAMI-6, pp. 721-741, Nov. 1984.
13. S. Geman and C. Graffigne, "Markov random field image models and their application to computer vision," in Proc. Int. Congr. Math., 1986, pp. 1496-1517.
14. B. Gidas, "A renormalization group approach to image processing," IEEE Trans. Pattern Anal. Machine Intell., vol. 11, no. 2, pp. 164-180, 1989.
15. R. Haralick, "Statistical and structural approaches to texture," Proc. IEEE, vol. 67, pp. 610-621, May 1979.
16. F. C. Jeng, "Subsampling of Markov random fields," J. Vis. Comm. Image Represent., vol. 3, pp. 225-229, Sept. 1992.
17. R. L. Kashyap, "Analysis and synthesis of image patterns by spatial interaction models," in Progress in Pattern Recognition, L. N. Kanal and A. Rosenfeld, Eds. Amsterdam, The Netherlands: North-Holland, 1981.
18. S. Kullback and R. A. Leibler, "On information and sufficiency," Ann. Math. Stat., vol. 22, pp. 79-86, 1951.
19. H. Kunsch, "Thermodynamics and statistical analysis of Gaussian random fields," Z. Wahr. Ver. Geb., pp. 407-421, Nov. 1981.
20. S. Lakshmanan and H. Derin, "Gaussian Markov random fields at multiple resolutions," in Markov Random Fields: Theory and Applications, R. Chellappa, Ed. New York: Academic, 1993, pp. 131-157.
21. S. Lu and S. Fu, "Stochastic tree grammar inference for texture synthesis and discrimination," Comput. Vision, Graphics, Image Processing, vol. 9, pp. 234-245, 1979.
22. M. R. Luettgen, W. C. Karl, A. S. Willsky, and R. R. Tenney, "Multiscale representations of Markov random fields," IEEE Trans. Signal Processing, vol. 41, pp. 3377-3397, Dec. 1993.
23. B. S. Manjunath, T. Simchony, and R. Chellappa, "Stochastic and deterministic networks for texture segmentation," IEEE Trans. Acoust., Speech, Signal Processing, vol. 38, pp. 1039-1049, June 1990.
24. I. Matsuba, "Renormalization group approach to hierarchical image analysis," in IEEE Int. Conf. Acoust., Speech, Signal Processing, pp. 1044-1047, 1988.
25. P. A. P. Moran and J. Besag, "On the estimation and testing of spatial interaction in Gaussian lattice," Biometrika, vol. 62, pp. 552-562, 1975.
26. A. Papoulis, Probability, Random Variables, and Stochastic Processes. New York: McGraw-Hill, 1965.
27. P. Perez and F. Heitz, "Multiscale Markov random fields and constrained relaxation in low level image analysis," in Proc. IEEE Int. Conf. Acoust., Speech, Signal Processing, 1992, vol. 3, pp. 61-64.
28. A. Rosenfeld, "Visual texture analysis," Tech. Rep. 70-116, Univ. Maryland, College Park, June 1970.
29. _, "Some useful properties of pyramids," in Multiresolution Image Processing and Analysis, A. Rosenfeld, Ed. New York: Springer-Verlag, 1984.
30. G. Sharma and R. Chellappa, "Two-dimensional maximum entropy power spectra," IEEE Trans. Inform. Theory, vol. IT-31, pp. 90-99, Jan. 1985.
31. D. Terzopoulos, "Image analysis using multigrid relaxation methods," IEEE Trans. Pattern Anal. Machine Intell., vol. 8, pp. 129-139, Mar. 1986.
32. F. Tomita, "Description of texture by a structural analysis," in Proc. IJCAI, 1979.
33. J. W. Woods, "Two-dimensional discrete Markovian fields," IEEE Trans. Inform. Theory, vol. IT-18, pp. 232-240, 1972.
34. C. H. Wu and P. C. Doerschuk, "Tree approximations to Markov random fields," IEEE Trans. Pattern Anal. Machine Intell., vol. 17, pp. 391-343, Apr. 1995.
35. J. Zhang, "The mean field theory in EM procedures for Markov random fields," IEEE Trans. Signal Processing, vol. 40, pp. 2570-2583, Oct. 1992.