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Poisson skeleton Revisited: A new mathematical perspective

hal.structure.identifierLaboratoire Jean Alexandre Dieudonné [JAD]
dc.contributor.authorAUBERT, Gilles
hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorAUJOL, Jean-François
dc.date.accessioned2024-04-04T02:24:55Z
dc.date.available2024-04-04T02:24:55Z
dc.date.created2012-07-03
dc.date.issued2014-01-01
dc.identifier.issn0924-9907
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189846
dc.description.abstractEnThis paper is concerned with the computation of the skeleton of a shape $\Omega$ included in $\R^2$. We show some connections between the Euclidean distance function $d$ to $\partial \Omega$ and the solution $u$ of the Poisson problem $\Delta u(x)=-1$ if $x$ is in $\Omega$ and $u(x)=0$ if $x$ is on $\partial \Omega$. This enables us to propose a new and fast algorithm to compute an approximation of the skeleton of $\partial \Omega$. We illustrate the approach with some numerical experiments.
dc.language.isoen
dc.publisherSpringer Verlag
dc.subjectSkeleton
dc.subjectPoisson equation
dc.subjectdistance function
dc.subjectPDEs
dc.subjectODEs
dc.title.enPoisson skeleton Revisited: A new mathematical perspective
dc.typeArticle de revue
dc.subject.halInformatique [cs]/Traitement des images
bordeaux.journalJournal of Mathematical Imaging and Vision
bordeaux.page149-159
bordeaux.volume48
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.issue1
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00714250
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00714250v1
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