Algebraic Analysis of the Generating Functional for Discrete Random Sets, and Statistical Inference for Intensity in the Discrete Boolean Random Set Model

Algebraic Analysis of the Generating Functional for Discrete Random Sets, and Statistical Inference for Intensity in the Discrete Boolean Random Set Model

Title : Algebraic Analysis of the Generating Functional for Discrete Random Sets, and Statistical Inference for Intensity in the Discrete Boolean Random Set Model
Authors :
Berenstein, Carlos A
Sidiropoulos, N D
Baras, John, S.
Conference : Journal of Mathematical Imaging and Vision Vol. 4, Issue 3, pp. 273-290
Date: June 01 - June 01, 1994

We consider binary digital images as realizations fo a uniformly bounded discrete random set, a mathematical object that 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 obtained its probability mass function, and use some methods of morphological image analysis to derive tools for its statistical stability

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