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Proceedings Paper

Discrete random sets: an inverse problem, plus tools for the statistical inference of the discrete Boolean model
Author(s): Nicholaos D. Sidiropoulos; John S. Baras; Carlos A. Berenstein
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Paper 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.

Paper Details

Date Published: 1 June 1992
PDF: 12 pages
Proc. SPIE 1769, Image Algebra and Morphological Image Processing III, (1 June 1992); doi: 10.1117/12.60630
Show Author Affiliations
Nicholaos D. Sidiropoulos, Univ. of Maryland/College Park (United States)
John S. Baras, Univ. of Maryland/College Park (United States)
Carlos A. Berenstein, Univ. of Maryland/College Park (United States)


Published in SPIE Proceedings Vol. 1769:
Image Algebra and Morphological Image Processing III
Paul D. Gader; Edward R. Dougherty; Jean C. Serra, Editor(s)

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