Comptes Rendus
no. S1
Evaluating a distance function
Rémi Abgrall1
1 Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 5-15.

Computing the distance function to some surface or line is a problem that occurs very frequently. There are several ways of computing a relevant approximation of this function, using for example technique originating from the approximation of Hamilton Jacobi problems, or the fast sweeping method. Here we make a link with some elliptic problem and propose a very fast way to approximate the distance function.

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Révisé le :
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DOI : 10.5802/crmeca.155
Mots clés : Hamilton jacobi equation, distance function, Hopf-Cole transformation, elliptic problem, linear solver
Rémi Abgrall 1

1 Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, Switzerland
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     doi = {10.5802/crmeca.155},
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Rémi Abgrall. Evaluating a distance function. Comptes Rendus. Mécanique, Volume 351 (2023) no. S1, pp. 5-15. doi : 10.5802/crmeca.155. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.155/

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