Shape connectivity: Multiscale analysis and application to generalized granulometries

Tzafestas, CS; Maragos, P

dc.contributor.author	Tzafestas, CS	en
dc.contributor.author	Maragos, P	en
dc.date.accessioned	2014-03-01T01:18:21Z
dc.date.available	2014-03-01T01:18:21Z
dc.date.issued	2002	en
dc.identifier.issn	0924-9907	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/14943
dc.subject	Connected operators	en
dc.subject	Connectivity tree	en
dc.subject	Generalized granulometries	en
dc.subject	Hierarchical image representations	en
dc.subject	Mathematical morphology	en
dc.subject	Multiscale connectivity measures	en
dc.subject	Partitions	en
dc.subject	Reconstruction	en
dc.subject	Shape analysis	en
dc.subject	Soilsection image analysis	en
dc.subject.classification	Computer Science, Artificial Intelligence	en
dc.subject.classification	Computer Science, Software Engineering	en
dc.subject.classification	Mathematics, Applied	en
dc.subject.other	Computer vision	en
dc.subject.other	Image reconstruction	en
dc.subject.other	Image segmentation	en
dc.subject.other	Mathematical morphology	en
dc.subject.other	Mathematical operators	en
dc.subject.other	Nonlinear systems	en
dc.subject.other	Object recognition	en
dc.subject.other	Generalized granulometries	en
dc.subject.other	Multiscale analysis	en
dc.subject.other	Multiscale connectivity analysis framework	en
dc.subject.other	Theoretical framework	en
dc.subject.other	Image analysis	en
dc.title	Shape connectivity: Multiscale analysis and application to generalized granulometries	en
heal.type	journalArticle	en
heal.identifier.primary	10.1023/A:1020629402912	en
heal.identifier.secondary	http://dx.doi.org/10.1023/A:1020629402912	en
heal.language	English	en
heal.publicationDate	2002	en
heal.abstract	This paper develops a multiscale connectivity theory for shapes based on the axiomatic definition of new generalized connectivity measures, which are obtained using morphology-based nonlinear scale-space operators. The concept of connectivity-tree for hierarchical image representation is introduced and used to define generalized connected morphological operators. This theoretical framework is then applied to establish a class of generalized granulometries, implemented at a particular problem concerning soilsection image analysis and evaluation of morphological properties such as size distributions. Comparative results demonstrate the power and versatility of the proposed methodology with respect to the application of typical connected operators (such as reconstruction openings). This multiscale connectivity analysis framework aims at a more reliable evaluation of shape/size information within complex images, with particular applications to generalized granulometries, connected operators, and segmentation.	en
heal.publisher	KLUWER ACADEMIC PUBL	en
heal.journalName	Journal of Mathematical Imaging and Vision	en
dc.identifier.doi	10.1023/A:1020629402912	en
dc.identifier.isi	ISI:000178650000003	en
dc.identifier.volume	17	en
dc.identifier.issue	2	en
dc.identifier.spage	109	en
dc.identifier.epage	129	en