| Popis: |
In this Note, we deal with the problem of constructing a regular (smooth) curve Γ such that ∀x∈Γ, d(x,V)⩽e, where d(x,V)=minx¯∈V‖x−x¯‖ for a given point cloud V assumed to belong to the boundary of an open subset of R2 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 Ω enclosing V. A numerical example is provided to show the efficiency of the proposed approach. To cite this article: A. Claisse, P. Frey, C. R. Acad. Sci. Paris, Ser. I 346 (2008). |
