Calculating the output distribution of stack filters that are erosion-dilation cascades, in particular Lulu-filters

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dc.contributor.author Anguelov, Roumen
dc.contributor.author Butler, P.W.
dc.contributor.author Rohwer, Carl (Carl H.)
dc.contributor.author Wild, M.
dc.date.accessioned 2016-02-10T06:22:23Z
dc.date.issued 2015-06
dc.description.abstract Two procedures to compute the output distribution ϕS of certain stack lters 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 ϕS are computed one could compute the reliability polynomial of a connected graph, or more generally the reliability polynomial w.r.t. any positive Boolean function. en_ZA
dc.description.embargo 2016-12-31
dc.description.librarian hb2015 en_ZA
dc.description.uri http://www.tandfonline.com/loi/tqma20 en_ZA
dc.identifier.citation R. Anguelov, P.W. Butler, C.H. Rohwer & M. Wild (2015) Calculating the output distribution of stack filters that are erosion-dilation cascades, in particular LU LU -filters, Quaestiones Mathematicae, 38:4, 463-482, DOI: 10.2989/16073606.2014.981684. en_ZA
dc.identifier.issn 0379-9468 (print)
dc.identifier.issn 1727-933X (online)
dc.identifier.other 10.2989/16073606.2014.981684
dc.identifier.uri http://hdl.handle.net/2263/51301
dc.language.iso en en_ZA
dc.publisher Routledge en_ZA
dc.rights © 2015 NISC (Pty) Ltd. Taylor and Francis. This is an electronic version of an article published in Quaestiones Mathematicae, vol.38, no. 4, pp. 463-482, 2015. doi : 10.2989/16073606.2014.981684. Quaestiones Mathematicae is available online at : http://www.tandfonline.comloi/tqma20. en_ZA
dc.subject Stack lter en_ZA
dc.subject Output distribution en_ZA
dc.subject LULU filter en_ZA
dc.subject Reliability polynomial en_ZA
dc.subject Inclusion-exclusion en_ZA
dc.title Calculating the output distribution of stack filters that are erosion-dilation cascades, in particular Lulu-filters en_ZA
dc.type Postprint Article en_ZA


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