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Updated: Jul 7, 2026

Optical Scatter Microscopy Based on Two-Dimensional Gabor Filters
Published on: June 2, 2010
Morphological representation of order-statistics filters
M Charif-Chefchaouni1, D Schonfeld
1Dept. of Electr. Eng. and Comput. Sci., Illinois Univ., Chicago, IL.
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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