Computing the Output Distribution and Selection Probabilities of a Stack Filter from the DNF of Its Positive Boolean Function

Many nonlinear filters used in practise are stack filters . An algorithm is presented which calculates the output distribution of an arbitrary stack filter S from the disjunctive normal form (DNF) of its underlying positive Boolean function (PBF). Our algorithm avoids to enumerate the models of the...

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Bibliographic Details
Published in:Journal of mathematical imaging and vision 2013-05, Vol.46 (1), p.66-73
Main Author: Wild, Marcel
Format: Article
Language:English
Subjects:
Applications of Mathematics
Applied sciences
Computer Science
Detection, estimation, filtering, equalization, prediction
Exact sciences and technology
Image Processing and Computer Vision
Information, signal and communications theory
Mathematical Methods in Physics
Signal and communications theory
Signal, noise
Signal,Image and Speech Processing
Telecommunications and information theory
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Summary:Many nonlinear filters used in practise are stack filters . An algorithm is presented which calculates the output distribution of an arbitrary stack filter S from the disjunctive normal form (DNF) of its underlying positive Boolean function (PBF). Our algorithm avoids to enumerate the models of the PBF one by one, and thus is considerably more efficient than previous methods. The so called rank selection probabilities can be computed along the way.
ISSN:0924-9907
1573-7683
DOI:10.1007/s10851-012-0370-y