The output distribution of important LULU-operators

Details The output distribution of important LULU-operators The output distribution of important LULU-operators

2010-03-23

arxiv.org/abs/1003.4406v2

Mathematics

Probability

20 pages, more readable than the previous version

Scientific paper

Two procedures to compute the output distribution phi_S 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 phi_S for some important LULU-operators S. Properties of phi_S can be used to characterize smoothing properties of S.

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