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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorCohen, Laurent D.
HAL ID: 738939
hal.structure.identifier
dc.contributor.authorChen, Da
dc.date.accessioned2020-01-30T12:28:52Z
dc.date.available2020-01-30T12:28:52Z
dc.date.issued2019
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20488
dc.language.isoenen
dc.subjectMinimal pathen
dc.subjectEikonal partial differential equationen
dc.subjectgeodesic distanceen
dc.subjectFinsler metricen
dc.subjectRiemannian metricen
dc.subjectRanders metricen
dc.subjectEuler-Mumford elastica curveen
dc.subjectregion-based active contour modelen
dc.subject.ddc621.3en
dc.titleFrom Active Contours to Minimal Geodesic Paths: New Solutions to Active Contours Problems by Eikonal Equationsen
dc.typeChapitre d'ouvrage
dc.description.abstractenIn this chapter, we give an overview of part of our previous work based on theminimal geodesic path framework and the Eikonal partial differential equation (PDE). We show that by designing adequate Riemannian and Randers geodesic metrics the minimal paths can be utilized to search for solutions to almost all of the active contour problems and to the Euler-Mumford elastica problem, which allows to blend the advantages from minimal geodesic paths and those original approaches, i.e. the active contours and elastica curves. The proposed minimal path-based models can be applied to deal with a broad variety of image analysis tasks such as boundary detection, image segmentation and tubular structure extraction. The numerical implementations for the computation of minimal paths are known to be quite efficient thanks to the Eikonal solvers such as the Finsler variant of the fast marching method introduced in (Mirebeau, 2014b).en
dc.relation.ispartoftitleHandbook of Numerical Analysis, volume 20-- Processing, Analyzing and Learning of Images, Shapes, and Formsen
dc.relation.ispartofpublnameElsevieren
dc.relation.ispartofdate2019-10
dc.relation.ispartofpages706en
dc.subject.ddclabelTraitement du signalen
dc.relation.ispartofisbn9780444641403en
dc.relation.forthcomingnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershipnon-rechercheen
dc.description.audienceInternationalen
dc.date.updated2019-10-12T13:13:49Z
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