Morphological filters--Part II: Their relations to median, order-statistic, and stack filters

1 August 1987

journal article
research article
Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Acoustics, Speech, and Signal Processing

Vol. 35 (8) , 1170-1184
https://doi.org/10.1109/tassp.1987.1165254

Abstract

This paper extends the theory of median, order-statistic (OS), and stack filters by using mathematical morphology to analyze them and by relating them to those morphological erosions, dilations, openings, closings, and open-closings that commute with thresholding. The max-min representation of OS filters is introduced by showing that any median or other OS filter is equal to a maximum of erosion

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