Poisson skeleton Revisited: A new mathematical perspective
| hal.structure.identifier | Laboratoire Jean Alexandre Dieudonné [JAD] | |
| dc.contributor.author | AUBERT, Gilles | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | AUJOL, Jean-François | |
| dc.date.accessioned | 2024-04-04T02:24:55Z | |
| dc.date.available | 2024-04-04T02:24:55Z | |
| dc.date.created | 2012-07-03 | |
| dc.date.issued | 2014-01-01 | |
| dc.identifier.issn | 0924-9907 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189846 | |
| dc.description.abstractEn | This 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.iso | en | |
| dc.publisher | Springer Verlag | |
| dc.subject | Skeleton | |
| dc.subject | Poisson equation | |
| dc.subject | distance function | |
| dc.subject | PDEs | |
| dc.subject | ODEs | |
| dc.title.en | Poisson skeleton Revisited: A new mathematical perspective | |
| dc.type | Article de revue | |
| dc.subject.hal | Informatique [cs]/Traitement des images | |
| bordeaux.journal | Journal of Mathematical Imaging and Vision | |
| bordeaux.page | 149-159 | |
| bordeaux.volume | 48 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.issue | 1 | |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00714250 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00714250v1 | |
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