Morphological filters--Part I: Their set-theoretic analysis and relations to linear shift-invariant filters
- 1 August 1987
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Acoustics, Speech, and Signal Processing
- Vol. 35 (8) , 1153-1169
- https://doi.org/10.1109/tassp.1987.1165259
Abstract
This paper examines the set-theoretic interpretation of morphological filters in the framework of mathematical morphology and introduces the representation of classical linear filters in terms of morphological correlations, which involve supremum/infimum operations and additions. Binary signals are classified as sets, and multilevel signals as functions. Two set-theoretic representations of signals are reviewed. Filters are classified as set-processing (SP) or function-processinKeywords
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