Calculating the output distribution of stack filters that are erosion-dilation cascades, in particular LULU-filters
Date
2011
Authors
Anguelov, R.
Butler, P. W.
Rohwer, C. H.
Wild, Marcel
Journal Title
Journal ISSN
Volume Title
Publisher
Cornell University Library
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.
Description
Original article available at http://arxiv.org/
Keywords
Lulu-filters, Stack filters, Mathematics, LULU-operators, Output distribution, Arbitrary erosion dilation cascades
Citation
arXiv:1003.4406v2