title: Morphological representation of order-statistics filters.
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.
authors.affiliation: Dept. of Electr. Eng. and Comput. Sci., Illinois Univ., Chicago, IL.
authors.forename: M
authors.initials: M
authors.lastname: Charif-Chefchaouni
authors.forename: D
authors.initials: D
authors.lastname: Schonfeld