Discrete Random Sets: An Inverse Problem, Plus Tools for the Statistical Inference of the Discrete Boolean Model

Discrete Random Sets: An Inverse Problem, Plus Tools for the Statistical Inference of the Discrete Boolean Model

Title : Discrete Random Sets: An Inverse Problem, Plus Tools for the Statistical Inference of the Discrete Boolean Model
Authors :
Berenstein, Carlos A
Sidiropoulos, N D
Baras, John, S.
Conference : SPIE Conference on Image Algebra and Morphological Image Processing III Vol. 1769, pp. 32-43
Date: July 20 - July 22, 1992

We consider digital binary images as a realization¬†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 it’¬†probability mass function. and employ some methods of Morphological image analysis to derive tools for its statistical inference.

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