Evaluating a distance function
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. He...
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| Format: | Article |
| Language: | English |
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Académie des sciences
2023-02-01
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| Series: | Comptes Rendus. Mécanique |
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| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.155/ |
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| _version_ | 1825206034044551168 |
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| author | Abgrall, Rémi |
| author_facet | Abgrall, Rémi |
| author_sort | Abgrall, Rémi |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-c5fced1c297246a7957ea6aa33c1b53c |
| institution | Kabale University |
| issn | 1873-7234 |
| language | English |
| publishDate | 2023-02-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj-art-c5fced1c297246a7957ea6aa33c1b53c2025-02-07T13:46:20ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342023-02-01351S151510.5802/crmeca.15510.5802/crmeca.155Evaluating a distance functionAbgrall, Rémi0Institut für Mathematik, Universität Zürich, Winterthurerstrasse 190, CH-8057 Zürich, SwitzerlandComputing 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.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.155/Hamilton jacobi equationdistance functionHopf-Cole transformationelliptic problemlinear solver |
| spellingShingle | Abgrall, Rémi Evaluating a distance function Comptes Rendus. Mécanique Hamilton jacobi equation distance function Hopf-Cole transformation elliptic problem linear solver |
| title | Evaluating a distance function |
| title_full | Evaluating a distance function |
| title_fullStr | Evaluating a distance function |
| title_full_unstemmed | Evaluating a distance function |
| title_short | Evaluating a distance function |
| title_sort | evaluating a distance function |
| topic | Hamilton jacobi equation distance function Hopf-Cole transformation elliptic problem linear solver |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.155/ |
| work_keys_str_mv | AT abgrallremi evaluatingadistancefunction |