A general procedure to compute the output distribution D for certain nonlinear operators S (so called erosion-dilation cascades) is given. A refinement of the procedure yields D for some important LULU-operators S. Properties of D can also be used to characterize smoothing properties of a nonlinear operator S.
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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A general procedure
Two procedures
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D for certain nonlinear operators
phi_S of certain stack filters
R
is given. A refinement of the procedure yields D
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
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D can also
phi_S can
D
a nonlinear operator