A PDE formulation for viscous morphological operators with extensions to intensity-adaptive operators

Maragos, P; Vachier, C

dc.contributor.author	Maragos, P	en
dc.contributor.author	Vachier, C	en
dc.date.accessioned	2014-03-01T02:45:03Z
dc.date.available	2014-03-01T02:45:03Z
dc.date.issued	2008	en
dc.identifier.issn	15224880	en
dc.identifier.uri	https://dspace.lib.ntua.gr/xmlui/handle/123456789/32118
dc.subject	Adaptive filters	en
dc.subject	Morphological operations	en
dc.subject	Partial differential equations	en
dc.subject.other	Adaptive operators	en
dc.subject.other	Connected operator	en
dc.subject.other	Hyperbolic type	en
dc.subject.other	Intensity levels	en
dc.subject.other	Morphological operations	en
dc.subject.other	Morphological operator	en
dc.subject.other	Nonlinear partial differential equations	en
dc.subject.other	Numerical algorithms	en
dc.subject.other	Reconstruction filters	en
dc.subject.other	Theoretical aspects	en
dc.subject.other	Adaptive filtering	en
dc.subject.other	Adaptive filters	en
dc.subject.other	Aircraft engines	en
dc.subject.other	Computational fluid dynamics	en
dc.subject.other	Electric filters	en
dc.subject.other	Image analysis	en
dc.subject.other	Imaging systems	en
dc.subject.other	Mathematical morphology	en
dc.subject.other	Nonlinear equations	en
dc.subject.other	Partial differential equations	en
dc.subject.other	Mathematical operators	en
dc.title	A PDE formulation for viscous morphological operators with extensions to intensity-adaptive operators	en
heal.type	conferenceItem	en
heal.identifier.primary	10.1109/ICIP.2008.4712226	en
heal.identifier.secondary	http://dx.doi.org/10.1109/ICIP.2008.4712226	en
heal.identifier.secondary	4712226	en
heal.publicationDate	2008	en
heal.abstract	Viscous morphological operators have shown very good performance in regularizing various image analysis tasks such as detection of intensity-varying boundaries and segmentation. This paper presents a novel formulation of viscous morphological operators as solutions of nonlinear partial differential equations (PDEs) of the hyperbolic type with level-varying speed. Efficient numerical algorithms are also developed to solve these PDEs and generate the viscous operations. It also generalizes the viscous operators by studying the class of intensity level-varying operators, of which special cases are intensity adaptive connected operators such as volume openings and viscous reconstruction filters. We present both theoretical aspects and applications of the above ideas. © 2008 IEEE.	en
heal.journalName	Proceedings - International Conference on Image Processing, ICIP	en
dc.identifier.doi	10.1109/ICIP.2008.4712226	en
dc.identifier.spage	2200	en
dc.identifier.epage	2203	en