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Morphological representation of order-statistics filters
Charif-Chefchaouni, M.; Schonfeld, D.;
Image Processing, IEEE Transactions on
Volume 4,
Issue 6,
June 1995
Page(s):838
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845
Abstract:
We propose a comprehensive theory for the morphological bounds on order-statistics filters (and their repeated iterations). Conditions are derived for morphological openings and closings to serve as bounds (lower and upper, respectively) on order-statistics filters (and their repeated iterations). Under various assumptions, morphological open-closings and close-openings are also shown to serve as (tighter) bounds (lower and upper, respectively) on iterations of order-statistics filters. Simulations of the application of the results presented to image restoration are finally provided
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