Abstract:
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.