Nonlinear scale-space representation with morphological levelings

Meyer, F; Maragos, P

dc.contributor.author	Meyer, F	en
dc.contributor.author	Maragos, P	en
dc.date.accessioned	2014-03-01T01:15:44Z
dc.date.available	2014-03-01T01:15:44Z
dc.date.issued	2000	en
dc.identifier.issn	1047-3203	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/13697
dc.subject	scale-space	en
dc.subject	mathematical morphology	en
dc.subject	levelings	en
dc.subject	multiscale representation	en
dc.subject	differential equations	en
dc.subject.classification	Computer Science, Information Systems	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.other	ANISOTROPIC DIFFUSION	en
dc.subject.other	EDGE-DETECTION	en
dc.subject.other	EQUATIONS	en
dc.subject.other	EVOLUTION	en
dc.subject.other	FILTERS	en
dc.subject.other	IMAGES	en
dc.title	Nonlinear scale-space representation with morphological levelings	en
heal.type	journalArticle	en
heal.identifier.primary	10.1006/jvci.1999.0447	en
heal.identifier.secondary	http://dx.doi.org/10.1006/jvci.1999.0447	en
heal.language	English	en
heal.publicationDate	2000	en
heal.abstract	In this paper we present a nonlinear scale-space representation based on a general class of morphological strong filters, the levelings, which include the openings and closings by reconstruction. These filters are very useful for image simplification and segmentation. From one scale to the next, details vanish, but the contours of the remaining objects are preserved sharp and perfectly localized. Both the lattice algebraic and the scale-space properties of levelings are analyzed and illustrated. We also develop a nonlinear partial differential equation that models the generation of levelings as the limit of a controlled growth starting from an initial seed signal. Finally, we outline the use of levelings in improving the Gaussian scale-space by using the latter as an initial seed to generate multiscale levelings that have a superior preservation of image edges. (C) 2000 Academic Press.	en
heal.publisher	ACADEMIC PRESS INC	en
heal.journalName	JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION	en
dc.identifier.doi	10.1006/jvci.1999.0447	en
dc.identifier.isi	ISI:000087184000012	en
dc.identifier.volume	11	en
dc.identifier.issue	2	en
dc.identifier.spage	245	en
dc.identifier.epage	265	en