| Type de publication : |
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Rapport de recherche |
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| Domaine : |
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Informatique/Traitement des images
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| Titre : |
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Poisson skeleton |
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| Auteur(s) : |
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Gilles Aubert ( ) 1, Jean-François Aujol (,  ) 2 |
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| Laboratoire : |
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| Résumé : |
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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. |
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Langue du texte
intégral : |
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Anglais |
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Date de production,
écriture : |
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03/07/2012 |
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| Mots Clés : |
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Skeleton – Poisson equation – distance function – PDEs – ODEs |
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