Discrete random sets: an inverse problem, plus tools for the statistical inference of the discrete Boolean model

Nicholaos D. Sidiropoulos; John S. Baras; Carlos A. Berenstein

doi:10.1117/12.60630

1 June 1992 Discrete random sets: an inverse problem, plus tools for the statistical inference of the discrete Boolean model

Nicholaos D. Sidiropoulos, John S. Baras, Carlos A. Berenstein

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Proceedings Volume 1769, Image Algebra and Morphological Image Processing III; (1992) https://doi.org/10.1117/12.60630
Event: San Diego '92, 1992, San Diego, CA, United States

Abstract

We consider digital binary images as realizations of a bounded discrete random set, a mathematical object which can be defined directly on a finite lattice. In this setting, we show that it is possible to move between two equivalent probabilistic model specifications. We formulate a restricted version of the discrete-case analog of a Boolean random set model, obtain its probability mass function, and employ some methods of Morphological image analysis to derive tools for its statistical inference.

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Nicholaos D. Sidiropoulos, John S. Baras, and Carlos A. Berenstein "Discrete random sets: an inverse problem, plus tools for the statistical inference of the discrete Boolean model", Proc. SPIE 1769, Image Algebra and Morphological Image Processing III, (1 June 1992); https://doi.org/10.1117/12.60630

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