CALCULATING THE OUTPUT DISTRIBUTION OF STACK FILTERS THAT ARE EROSION-DILATION CASCADES , IN PARTICULAR LULU-FILTERS

@inproceedings{Anguelov2011CALCULATINGTO,
  title={CALCULATING THE OUTPUT DISTRIBUTION OF STACK FILTERS THAT ARE EROSION-DILATION CASCADES , IN PARTICULAR LULU-FILTERS},
  author={Roumen Anguelov and C. H. Rohwer},
  year={2011}
}
Two procedures to compute the output distribution φS 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 φS for some important LULU -operators S. Properties of φS can be used to characterize smoothing properties of S. Also, in the same way as our polynomials phiS are computed one could compute the reliability polynomial… CONTINUE READING

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