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dc.contributor.authorPeyré, Gabriel
HAL ID: 1211
dc.contributor.authorPéchaud, Mickaël
dc.contributor.authorKeriven, Renaud
dc.contributor.authorCohen, Laurent D.
HAL ID: 738939
dc.date.accessioned2010-11-02T14:38:09Z
dc.date.available2010-11-02T14:38:09Z
dc.date.issued2010
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/4981
dc.language.isoenen
dc.subjectgeodesic distanceen
dc.subjectcomputer graphicsen
dc.subjectComputer visionen
dc.subjectsamplingen
dc.subjectRiemannian manifolden
dc.subjectFast Marchingen
dc.subjectmeshen
dc.subjectimageen
dc.subjectlevel seten
dc.subjectactive contouren
dc.subjectshortest pathen
dc.subjectimage segmentationen
dc.subjectmedical imagingen
dc.subjectremeshingen
dc.subject.ddc621.3en
dc.titleGeodesic Methods in Computer Vision and Graphicsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherCentre d'Enseignement et de Recherche en Technologies de l'Information et Systèmes (CERTIS) Ecole des Ponts ParisTech;France
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 one 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 paths 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.en
dc.relation.isversionofjnlnameFoundations and Trends in Computer Graphics and Vision
dc.relation.isversionofjnlvol5
dc.relation.isversionofjnlissue3-4
dc.relation.isversionofjnldate2010
dc.relation.isversionofjnlpages197-397
dc.relation.isversionofdoihttp://dx.doi.org/10.1561/0600000029
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00528999/fr/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherNow Publishersen
dc.subject.ddclabelTraitement du signalen


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