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Evidential Correlated Gaussian Mixture Markov Model for Pixel Labeling Problem

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Belief Functions: Theory and Applications (BELIEF 2016)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 9861))

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Abstract

Hidden Markov Fields (HMF) have been widely used in various problems of image processing. In such models, the hidden process of interest \( X \) is assumed to be a Markov field that must be estimated from an observable process \( Y \). Classic HMFs have been recently extended to a very general model called “evidential pairwise Markov field” (EPMF). Extending its recent particular case able to deal with non-Gaussian noise, we propose an original variant able to deal with non-Gaussian and correlated noise. Experiments conducted on simulated and real data show the interest of the new approach in an unsupervised context.

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References

  1. Besag, J.: On the statistical analysis of dirty pictures. J. Roy. Stat. Soc. Ser. B 48(3), 259–302 (1986)

    MathSciNet  MATH  Google Scholar 

  2. Geman, S., Geman, D.: Stochastic relaxation, Gibbs distributions and the Bayesian restoration of images. IEEE Trans. Pattern Anal. Mach. Intell. 6(6), 721–741 (1984)

    Article  MATH  Google Scholar 

  3. Smets, P.: Belief functions: the disjunctive rule of combination and the generalized Bayesian theorem. Int. J. Approximate Reasoning 9, 1–35 (1993)

    Article  MathSciNet  MATH  Google Scholar 

  4. Shafer, G.: A Mathematical Theory of Evidence. Princeton University Press, Princeton (1976)

    MATH  Google Scholar 

  5. Bendjebbour, A., Delignon, Y., Fouque, L., Samson, V., Pieczynski, W.: Multisensor images segmentation using dempster-shafer fusion in Markov fields context. IEEE Trans. Geosci. Remote Sens. 39(8), 1789–1798 (2001)

    Article  Google Scholar 

  6. Foucher, S., Germain, M., Boucher, J.-M., Benié, G.B.: Multisource classification using ICM and Dempster-Shafer theory. IEEE Trans. Instrum. Measur. 51(2), 277–281 (2002)

    Article  Google Scholar 

  7. Le Hégarat-Mascle, S., Bloch, I., Vidal-Madjar, D.: Introduction of neighborhood information in evidence theory and application to data fusion of radar and optical images with partial cloud cover. Pattern Recogn. 31(11), 1811–1823 (1998)

    Article  Google Scholar 

  8. Tupin, F., Maitre, H., Bloch, I.: A first step toward automatic interpretation of SAR images using evidential fusion of several structure detectors. IEEE Trans. Geosci. Remote Sens. 37(3), 1327–1343 (1999)

    Article  Google Scholar 

  9. Pieczynski, W., Benboudjema, D.: Multisensor triplet Markov fields and theory of evidence. Image Vis. Comput. 24(1), 61–69 (2006)

    Article  Google Scholar 

  10. Benboudjema, D., Pieczynski, W.: Unsupervised image segmentation using triplet Markov fields. Comput. Vis. Image Underst. 99(3), 476–498 (2005)

    Article  Google Scholar 

  11. Boudaren, M.E.Y., An, L., Pieczynski, W.: Dempster-Shafer fusion of evidential pairwise Markov fields. Int. J. Approximate Reasoning 74, 13–29 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  12. Poggi, G., Scarpa, G., Zerubia, J.B.: Supervised segmentation of remote sensing images based on a tree-structured MRF model. IEEE Trans. Geosci. Remote Sens. 43(8), 1901–1911 (2005)

    Article  Google Scholar 

  13. Pieczynski, W., Tebbache, A.-N.: Pairwise Markov random fields and segmentation of textured images. Mach. Graph. Vis. 9, 705–718 (2000)

    Google Scholar 

  14. Li, S.Z.: Markov Random Field Modeling in Image Analysis. Springer Science & Business Media, Heidelberg (2009)

    MATH  Google Scholar 

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Correspondence to Wojciech Pieczynski .

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An, L., Li, M., Boudaren, M.E.Y., Pieczynski, W. (2016). Evidential Correlated Gaussian Mixture Markov Model for Pixel Labeling Problem. In: Vejnarová, J., Kratochvíl, V. (eds) Belief Functions: Theory and Applications. BELIEF 2016. Lecture Notes in Computer Science(), vol 9861. Springer, Cham. https://doi.org/10.1007/978-3-319-45559-4_21

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  • DOI: https://doi.org/10.1007/978-3-319-45559-4_21

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-45558-7

  • Online ISBN: 978-3-319-45559-4

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