Show simple item record

dc.contributor.authorPeyré, Gabriel*
dc.contributor.authorCohen, Laurent D.*
dc.date.accessioned2009-06-23T14:08:58Z
dc.date.available2009-06-23T14:08:58Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/420
dc.language.isoenen
dc.subjectFast Marching
dc.subjectsurface
dc.subjectmedical image processing
dc.subjectGeodesics
dc.subjectremeshing
dc.subjectsnakes
dc.subjectactive contours
dc.subjectsegmentation
dc.subject.ddc519en
dc.titleGeodesic Methods for Shape and Surface Processing
dc.typeChapitre d'ouvrage
dc.description.abstractenThis paper reviews both the theory and practice of the numerical computation of geodesic distances on Riemannian manifolds. The notion of Riemannian manifold allows to define a local metric (a symmetric positive tensor field) that encodes the information about the problem one wishes to solve. This takes into account a local isotropic cost (whether some point should be avoided or not) and a local anisotropy (which direction should be preferred). Using this local tensor field, the geodesic distance is used to solve many problems of practical interest such as segmentation using geodesic balls and Voronoi regions, sampling points at regular geodesic distance or meshing a domain with geodesic Delaunay triangles. The shortest path for this Riemannian distance, the so-called geodesics, are also important because they follow salient curvilinear structures in the domain. We show several applications of the numerical computation of geodesic distances and shortest paths to problems in surface and shape processing, in particular segmentation, sampling, meshing and comparison of shapes.
dc.identifier.citationpages29-56
dc.relation.ispartoftitleAdvances in Computational Vision and Medical Image Processing: Methods and Applications
dc.relation.ispartofeditorTavares, João Manuel R.S.; Jorge, R.M. Natal
dc.relation.ispartofpublnameComputational Methods in Applied Sciences
dc.relation.ispartofdate2009
dc.relation.ispartofurl10.1007/978-1-4020-9086-8
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-00365899
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.relation.ispartofisbn978-1-4020-9085-1
dc.identifier.doi10.1007/978-1-4020-9086-8_2
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-03-13T14:55:58Z
hal.person.labIds*
hal.person.labIds*


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record