Morphological representation of order-statistics filters.
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.
Charif-Chefchaouni
M
M
Dept. of Electr. Eng. and Comput. Sci., Illinois Univ., Chicago, IL.
Schonfeld
D
D