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Proceedings Paper

Morphological bounds on order-statistics filters
Author(s): Mohammed A. Charif-Chefchaouni; Dan Schonfeld
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Paper Abstract

In this paper, we investigate the morphological bounds on order- statistics (median) filters (and their repeated iterations). Conditions are derived for morphological openings and closing to serve as bounds (lower and upper, respectively) on order- statistics (median) filters (and their repeated iterations). Under various assumptions, morphological open-closings (open- close-openings) and close-openings (close-open-closings) are also shown to serve as (tighter) bounds (lower and upper, respectively) on iterations of order-statistics (median) filters. Conditions for the convergence of iterations of order-statistics (median) filters are proposed. Criteria for the morphological characterization of roots of order-statistics (median) filters are also proposed.

Paper Details

Date Published: 23 June 1993
PDF: 9 pages
Proc. SPIE 2030, Image Algebra and Morphological Image Processing IV, (23 June 1993); doi: 10.1117/12.146671
Show Author Affiliations
Mohammed A. Charif-Chefchaouni, Univ. of Illinois/Chicago (United States)
Dan Schonfeld, Univ. of Illinois/Chicago (United States)


Published in SPIE Proceedings Vol. 2030:
Image Algebra and Morphological Image Processing IV
Edward R. Dougherty; Paul D. Gader; Jean C. Serra, Editor(s)

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