Morphological bounds on order-statistics filters

Mohammed A. Charif-Chefchaouni; Dan Schonfeld

doi:10.1117/12.146671

23 June 1993 Morphological bounds on order-statistics filters

Mohammed A. Charif-Chefchaouni, Dan Schonfeld

Proceedings Volume 2030, Image Algebra and Morphological Image Processing IV; (1993) https://doi.org/10.1117/12.146671
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

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.

Citation Download Citation

Mohammed A. Charif-Chefchaouni and Dan Schonfeld "Morphological bounds on order-statistics filters", Proc. SPIE 2030, Image Algebra and Morphological Image Processing IV, (23 June 1993); https://doi.org/10.1117/12.146671

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