Calculating the output distribution of stack filters that are erosion-dilation cascades, in particular LULU-filters

Anguelov, R. ; Butler, P. W. ; Rohwer, C. H. ; Wild, Marcel (2011)

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ENGLISH ABSTRACT: Two procedures to compute the output distribution 0S of certain stack filters S (so called erosion-dilation cascades) are given. One rests on the disjunctive normal form of S and also yields the rank selection probabilities. The other is based on inclusion-exclusion and e.g. yields 0S for some important LULU-operators S. Properties of 0S can be used to characterize smoothing properties.

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