1 June 1992 Discrete random sets: an inverse problem, plus tools for the statistical inference of the discrete Boolean model
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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.
© (1992) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Nicholaos D. Sidiropoulos, Nicholaos D. Sidiropoulos, John S. Baras, John S. Baras, Carlos A. Berenstein, 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); doi: 10.1117/12.60630; https://doi.org/10.1117/12.60630
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