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Real-Time Restoration and Segmentation Algorithms for Hidden Markov Mesh Random Fields Image Models

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Real-Time Object Measurement and Classification

Part of the book series: NATO ASI Series ((NATO ASI F,volume 42))

Abstract

This paper addresses the image restoration and segmentation problems under the assumption that images can be represented by hidden Markov mesh random fields models. We outline coherent approaches to both the problems of image segmentation and restoration (pixel labeling) and model acquisition (learning). We exhibit a real-time labeling algorithm for a 3rd order Markov mesh which achieves minimal complexity. We develop a learning technique which permits to estimate the model parameters without ground truth information. We display experimental results which demonstrate that the approach is subjectively relevant to the image restoration and segmentation problems.

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References

  1. K. Abend, T.J. Harley, and L.N. Kanal, “Classification of binary random patterns,” IEEE Trans. Inform. Theory, IT-11, pp. 538–544, Oct. 1965.

    Article  MathSciNet  Google Scholar 

  2. J. Besag, “On the statistical analysis of dirty pictures,” paper read at the SERC Research Workshop on Statistics and Pattern Recognition, Edinburgh, July 1985.

    Google Scholar 

  3. H. Derin, H. Elliot, R. Christi, and D. Geman, “Bayes smoothing algorithms for segmentation of binary images modeled by Markov random fields,” IEEE Trans. Pattern Anal., Machine Intell., PAMI-6, pp. 707–720, Nov. 1984.

    Article  Google Scholar 

  4. H. Derin, and H. Elliot, “Modeling and segmentation of noisy and textured images using Gibbs random fields,” IEEE Trans. Pattern Anal., Machine Intell., PAMI-9, pp. 39–55, 1987.

    Article  Google Scholar 

  5. P.A. Devijver, “Probabilistic labeling in a hidden second order Markov mesh,” in Pattern Recognition in Practice II, E. Gelsema, and L.N. Kanal Eds., Amsterdam: North Holland, 1985, pp. 113–123.

    Google Scholar 

  6. P.A. Devijver, “Segmentation of binary images using third order Markov mesh image models,” in Proc. 8th Internat. Conf. on Pattern Recognition, Paris, Oct. 1986, pp. 259–261.

    Google Scholar 

  7. P.A. Devijver, and M.M. Dekesel, “Learning the parameters of a hidden Markov random field image model: A simple example,” in Pattern Recognition Theory and Applications, P. Devijver and J. Kittler Eds., Heidelberg: Springer, 1987, pp. 141–163.

    Google Scholar 

  8. P.A. Devijver and M.M. Dekesel, “Cluster analysis under Markovian dependence with application to image segmentation,” to appear in Proc. 1st Conf. Intern. Fed. Classification Societies, Aachen, June 1987.

    Google Scholar 

  9. P.A. Devijver and M.M. Dekesel, “Algorithmes d’apprentissage de modèles Markoviens d’images,” to appear in Proc. 6ème Congres RFIA, Antibes, Nov. 1987.

    Google Scholar 

  10. S. Geman, and D. Geman, “Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images,” IEEE Trans. Pattern Anal., Machine Intell., PAMI-6, pp. 721–741, Nov. 1984.

    Article  Google Scholar 

  11. D. Geman, S. Geman, and C. Graffigne, “Locating texture and object boundaries,” in Pattern Recognition Theory and Applications, P.A. Devijver and J. Kittler Eds., Heidelberg: Springer-Verlag, 1987.

    Google Scholar 

  12. J. Haslett, “Maximum likelihood discriminant analysis on the plane using a Markovian model of spatial context,” Pattern Recognition, 18, pp. 287–296, 1985.

    Article  MATH  Google Scholar 

  13. F.-C. Jeng, and J.W. Woods, “On the relationship of the Markov mesh to the NSHP Markov chain,” Pattern Recognition Letters, 5, pp. 273–279, 1987.

    Article  MATH  Google Scholar 

  14. L.N. Kanal, “Markov mesh models,” Computer Graphics and Image Processing, 12, pp. 371–375, 1980 (also in Image Modeling, A. Rosenfeld Ed., New York: Academic Press, 1981, pp. 239-243).

    Google Scholar 

  15. R. Kinderman and J.L. Snell, Markov Random Fields and their Applications, Providence Rl: American Mathematical Society, 1980.

    Google Scholar 

  16. L.A. Liporace, “Maximum likelihood estimation for multivariate observations of Markov sources” IEEE Trans. Inform. Theory, IT-28, 729–734, 1982.

    Article  MathSciNet  Google Scholar 

  17. D.K. Pickard, “A curious binary lattice process,” Journal Applied Probability, 14, pp. 717–731, 1977.

    Article  MATH  MathSciNet  Google Scholar 

  18. D.K. Pickard, “Unilateral Markov fields,” Adv. Applied Probability, 12, pp. 655–671, 1980.

    Article  MATH  MathSciNet  Google Scholar 

  19. R.A. Redner, and H.F. Walker, “Mixture densities, maximum likelihood and the EM algorithm,” Siam Review, 26, pp. 195–239, 1984.

    Article  MATH  MathSciNet  Google Scholar 

  20. S. Yakovitz, “Unsupervised learning and the identification of finite mixtures,” IEEE Trans. Inform. Theory, IT-16, pp. 330–338, 1970.

    Article  Google Scholar 

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© 1988 Springer-Verlag Berlin Heidelberg

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Devijver, P.A., Dekesel, M.M. (1988). Real-Time Restoration and Segmentation Algorithms for Hidden Markov Mesh Random Fields Image Models. In: Jain, A.K. (eds) Real-Time Object Measurement and Classification. NATO ASI Series, vol 42. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-83325-0_19

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  • DOI: https://doi.org/10.1007/978-3-642-83325-0_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-83327-4

  • Online ISBN: 978-3-642-83325-0

  • eBook Packages: Springer Book Archive

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