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

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

5 Scopus citations

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.

Original languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
PublisherPubl by Int Soc for Optical Engineering
Pages32-43
Number of pages12
ISBN (Print)0819409421
StatePublished - Dec 1 1992
EventImage Algebra and Morphological Image Processing III - San Diego, CA, USA
Duration: Jul 19 1992Jul 19 1992

Publication series

NameProceedings of SPIE - The International Society for Optical Engineering
Volume1769
ISSN (Print)0277-786X

Other

OtherImage Algebra and Morphological Image Processing III
CitySan Diego, CA, USA
Period7/19/927/19/92

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