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The Partitioned Mixture Distribution: Multiple Overlapping Density Models

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Maximum Entropy and Bayesian Methods

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 70))

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Abstract

In image processing problems density models are often used to characterise the local image statistics. In this paper a layered network structure is proposed, which consists of a large number of overlapping mixture distributions. This type of network is called a partitioned mixture distribution (PMD), and it may be used to apply mixture distribution models simultaneously to many different patches of an image.

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References

  1. S. P. Luttrell, “The partitioned mixture distribution: an adaptive Bayesian network for low-level image processing”, IEE Proceedings on Vision, Image and Signal Processing, Vol. 141, No. 4,pp: 251 – 260, 1994.

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  2. D. M. Titterington, A. F. M. Smith and U. E. Makov, “Statistical analysis of finite mixture distributions”, Wiley, 1985.

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  3. A. P. Dempster, N. M. Laird and D. B. Rubin, “Maximum likelihood from incomplete data via the EM algorithm”, Journal of the Royal Statistical Society Series B, Vol. 39,pp: 1 – 37, 1977.

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  4. S. P. Luttrell, “An adaptive Bayesian network for low-level image processing”, Proceedings of the 3rd IEE International Conference on Artificial Neural Networks, Brighton,pp: 61 – 65, 1993.

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© 1994 British Crown Copyright

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Luttrell, S.P. (1994). The Partitioned Mixture Distribution: Multiple Overlapping Density Models. In: Skilling, J., Sibisi, S. (eds) Maximum Entropy and Bayesian Methods. Fundamental Theories of Physics, vol 70. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-0107-0_30

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  • DOI: https://doi.org/10.1007/978-94-009-0107-0_30

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-6534-4

  • Online ISBN: 978-94-009-0107-0

  • eBook Packages: Springer Book Archive

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