A unification of linear, median, order-statistics and morphological filters under mathematical morphology
- 1 January 1985
- proceedings article
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- Vol. 10, 1329-1332
- https://doi.org/10.1109/icassp.1985.1168257
Abstract
This paper presents a summary of a unified theory, based upon mathematical morphology, of all translation-invariant and increasing systems. Examples of such systems are morphological transformations of signals, order-statistics filters and some linear shift-invariant filters. Our theoretical research showed that every such system can be uniquely represented by the minimal elements of its kernel and realized as a minimal combinatioKeywords
This publication has 4 references indexed in Scilit:
- M-FiltersPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2005
- Morphological filters--Part II: Their relations to median, order-statistic, and stack filtersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- A generalization of median filtering using linear combinations of order statisticsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1983
- A theoretical analysis of the properties of median filtersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1981