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Abgrall, Remi (2023). Evaluating a distance function. Comptes Rendus : Mécanique, 351(S1):1-11.
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.
| Item Type: | Journal Article, not_refereed, original work |
|---|---|
| Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |
| Dewey Decimal Classification: | 510 Mathematics |
| Scopus Subject Areas: | Physical Sciences > General Materials Science
Physical Sciences > Mechanics of Materials |
| Uncontrolled Keywords: | Mechanics of Materials, General Materials Science, Hamilton jacobi equation, distance function, Hopf-Cole transformation, elliptic problem, linear solver |
| Language: | English |
| Date: | 27 February 2023 |
| Deposited On: | 20 Dec 2023 12:57 |
| Last Modified: | 27 Dec 2024 04:40 |
| Publisher: | Académie des Sciences |
| ISSN: | 1873-7234 |
| OA Status: | Gold |
| Free access at: | Publisher DOI. An embargo period may apply. |
| Publisher DOI: | https://doi.org/10.5802/crmeca.155 |
Abgrall, Remi