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, The scientific legacy of Roland Glowinski, 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.

Received:
Revised:
Accepted:
Online First:
Published online:
DOI: 10.5802/crmeca.155
Keywords: 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
License: CC-BY 4.0
Copyrights: The authors retain unrestricted copyrights and publishing rights 
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     title = {Evaluating a distance function},
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Rémi Abgrall. Evaluating a distance function. Comptes Rendus. Mécanique, The scientific legacy of Roland Glowinski, 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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