dc.creator | Claisse, Alexandra | |
dc.creator | Frey, Pascal | |
dc.date.accessioned | 2010-01-13T19:07:57Z | |
dc.date.available | 2010-01-13T19:07:57Z | |
dc.date.created | 2010-01-13T19:07:57Z | |
dc.date.issued | 2008-09 | |
dc.identifier | COMPTES RENDUS MATHEMATIQUE Volume: 346 Issue: 17-18 Pages: 1017-1022 Published: SEP 2008 | |
dc.identifier | 1631-073X | |
dc.identifier | 10.1016/j.crma.2008.07.021 | |
dc.identifier | https://repositorio.uchile.cl/handle/2250/125110 | |
dc.description.abstract | In this Note, we deal with the problem of constructing a regular (smooth) curve Gamma such that for all(x) epsilon Gamma, d(x, V) <= epsilon, where d(x, V) = min((x) over bar epsilon V) parallel to x - (x) over bar parallel to for a given point cloud V assumed to belong to the boundary of an open subset of R-2 and for E small. To approximate this curve, we solve a minimization problem based on a levelset formulation. The particularity of the corresponding numerical scheme is to solve on an anisotropic triangulation of a convex domain Q enclosing V. A numerical example is provided to show the efficiency of the proposed approach. | |
dc.language | fr | |
dc.publisher | ELSEVIER | |
dc.subject | HAMILTON-JACOBI EQUATIONS | |
dc.title | Construction d’une courbe régulière d’approximation d’un ensemble de points | |
dc.type | Artículo de revista | |