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

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 proceeding › Conference contribution

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 language	English (US)
Title of host publication	Proceedings of SPIE - The International Society for Optical Engineering
Publisher	Publ by Int Soc for Optical Engineering
Pages	32-43
Number of pages	12
ISBN (Print)	0819409421
State	Published - 1992
Externally published	Yes
Event	Image Algebra and Morphological Image Processing III - San Diego, CA, USA Duration: Jul 19 1992 → Jul 19 1992

Publication series

Name	Proceedings of SPIE - The International Society for Optical Engineering
Volume	1769
ISSN (Print)	0277-786X

Other

Other	Image Algebra and Morphological Image Processing III
City	San Diego, CA, USA
Period	7/19/92 → 7/19/92

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Sidiropoulos, N. D., Baras, J. S., & Berenstein, C. A. (1992). Discrete random sets: an inverse problem, plus tools for the statistical inference of the discrete Boolean model. In Proceedings of SPIE - The International Society for Optical Engineering (pp. 32-43). (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 1769). Publ by Int Soc for Optical Engineering.

Discrete random sets: an inverse problem, plus tools for the statistical inference of the discrete Boolean model. / Sidiropoulos, Nicholaos D.; Baras, John S.; Berenstein, C. A.
Proceedings of SPIE - The International Society for Optical Engineering. Publ by Int Soc for Optical Engineering, 1992. p. 32-43 (Proceedings of SPIE - The International Society for Optical Engineering; Vol. 1769).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Sidiropoulos, ND, Baras, JS & Berenstein, CA 1992, Discrete random sets: an inverse problem, plus tools for the statistical inference of the discrete Boolean model. in Proceedings of SPIE - The International Society for Optical Engineering. Proceedings of SPIE - The International Society for Optical Engineering, vol. 1769, Publ by Int Soc for Optical Engineering, pp. 32-43, Image Algebra and Morphological Image Processing III, San Diego, CA, USA, 7/19/92.

Sidiropoulos, Nicholaos D. ; Baras, John S. ; Berenstein, C. A. / Discrete random sets : an inverse problem, plus tools for the statistical inference of the discrete Boolean model. Proceedings of SPIE - The International Society for Optical Engineering. Publ by Int Soc for Optical Engineering, 1992. pp. 32-43 (Proceedings of SPIE - The International Society for Optical Engineering).

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PB - Publ by Int Soc for Optical Engineering

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ER -

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

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