A representation theory for morphological image and signal processing
- 1 June 1989
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Pattern Analysis and Machine Intelligence
- Vol. 11 (6), 586-599
- https://doi.org/10.1109/34.24793
Abstract
This paper presents a unifying theory for many concepts and operations encountered in or related to morphological image and signal analysis. This unification requires a set-theoretic melhodology, where signals are modeled as sets, systems (signal transformations) are viewed as set mappings, and translation-invariant systems are uniquely characterized by special collections of input signals. This approach leads to a general representatioKeywords
This publication has 27 references indexed in Scilit:
- Morphological filters: Statistics and further syntactic propertiesIEEE Transactions on Circuits and Systems, 1987
- Morphological filters--Part I: Their set-theoretic analysis and relations to linear shift-invariant filtersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- Morphological filters--Part II: Their relations to median, order-statistic, and stack filtersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1987
- Optical median filtering using threshold decompositionApplied Optics, 1987
- Grayscale morphologyComputer Vision, Graphics, and Image Processing, 1986
- Stack filtersIEEE Transactions on Acoustics, Speech, and Signal Processing, 1986
- Median filtering by threshold decompositionIEEE Transactions on Acoustics, Speech, and Signal Processing, 1984
- A generalization of median filtering using linear combinations of order statisticsIEEE Transactions on Acoustics, Speech, and Signal Processing, 1983
- A cellular logic array for image processingPattern Recognition, 1973
- The texture analyserJournal of Microscopy, 1972