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Part of the book series: Applied Mathematical Sciences ((AMS,volume 155))

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Abstract

Markov models are used to quantify the spatial interactions of observed values at the nodes of a grid S and give a probability for any configuration x on S. In this chapter we review the classic presentation of Markov random fields with the assumption that the observed values at any site sS are discrete. This is true in most actual situations where sensors deliver digital images that are usually 8-bit encoded. This assumption simplifies the mathematics without limiting the applicability of these models.

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© 2003 Springer-Verlag New York, Inc.

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Chalmond, B. (2003). Fundamental Aspects. In: Modeling and Inverse Problems in Imaging Analysis. Applied Mathematical Sciences, vol 155. Springer, New York, NY. https://doi.org/10.1007/978-0-387-21662-1_5

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  • DOI: https://doi.org/10.1007/978-0-387-21662-1_5

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4419-3049-1

  • Online ISBN: 978-0-387-21662-1

  • eBook Packages: Springer Book Archive

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