Morphological filters

Heijmans, Henk

doi:10.1016/bs.aiep.2020.07.012

An increasing operator is known as a filter if it is idempotent. Such filters are important for such tasks as the suppression of noise, where it is essential to know whether repeated application of some operator has converged. The lattices of filters and of strong filters are discussed, the structure of the invariance domain is examined. The middle filter and alternating sequential filters are described.

Additional Metadata
Keywords	Alternating sequential filters, Filters, Inf-filters, Inf-overfilters, Invariance domain, Lattice of filters, Middle filter, Over-filters, Strong filters
Persistent URL	doi.org/10.1016/bs.aiep.2020.07.012
Organisation	Centrum Wiskunde & Informatica, Amsterdam (CWI), The Netherlands
Citation APA Style AAA Style APA Style Cell Style Chicago Style Harvard Style IEEE Style MLA Style Nature Style Vancouver Style American-Institute-of-Physics Style Council-of-Science-Editors Style BibTex Format Endnote Format RIS Format CSL Format DOIs only Format	Heijmans, H. (2020). Morphological filters. In Advances in Imaging and Electron Physics (pp. 403–430). doi:10.1016/bs.aiep.2020.07.012

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