Morphological filters--Part I: Their set-theoretic analysis and relations to linear shift-invariant filters

MARAGOS, P; SCHAFER, R

dc.contributor.author	MARAGOS, P	en
dc.contributor.author	SCHAFER, R	en
dc.date.accessioned	2014-03-01T01:39:06Z
dc.date.available	2014-03-01T01:39:06Z
dc.date.issued	1987	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/22567
dc.subject	Impulse Response	en
dc.subject	Kernel Function	en
dc.subject	Linear Filtering	en
dc.subject	Mathematical Morphology	en
dc.subject	Morphological Operation	en
dc.subject	Theoretical Analysis	en
dc.subject	Translation Invariant	en
dc.subject	Linear Shift Invariant	en
dc.title	Morphological filters--Part I: Their set-theoretic analysis and relations to linear shift-invariant filters	en
heal.type	journalArticle	en
heal.identifier.primary	10.1109/TASSP.1987.1165259	en
heal.identifier.secondary	http://dx.doi.org/10.1109/TASSP.1987.1165259	en
heal.publicationDate	1987	en
heal.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-processing	en
heal.journalName	IEEE Transactions on Signal Processing	en
dc.identifier.doi	10.1109/TASSP.1987.1165259	en