Title :
Morphological representation of order-statistics filters
Author :
Charif-Chefchaouni, Mohammed ; Schonfeld, Dan
Author_Institution :
Dept. of Electr. Eng. & Comput. Sci., Illinois Univ., Chicago, IL, USA
fDate :
6/1/1995 12:00:00 AM
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
Keywords :
image restoration; iterative methods; mathematical morphology; median filters; close-openings; image restoration; iterations; median filter; morphological bounds; morphological representation; open-closings; order-statistics filters; simulations; Application software; Decoding; Digital images; Fractals; Heuristic algorithms; Image coding; Pixel; Signal processing; Signal processing algorithms; Speech processing;
Journal_Title :
Image Processing, IEEE Transactions on
