Poisson Skeleton Revisited: a New Mathematical Perspective |
| |
| Authors: | Gilles Aubert Jean-Franois Aujol |
| |
| Affiliation: | 1. Laboratoire J.A. DIeudonne, UMR CNRS 7531, Université de Nice Sophia-Antipolis, Parc Valrose, 06108, Nice Cedex 02, France
2. IMB, Universite Bordeaux 1, 351 Cours de la liberation, 33405, Talence Cedex, France
|
| |
| Abstract: | This paper is concerned with the computation of the skeleton of a shape Ω included in ?2. We show some connections between the Euclidean distance function d to ?Ω and the solution u of the Poisson problem Δu(x)=?1 if x is in Ω and u(x)=0 if x is on ?Ω. This enables us to propose a new and fast algorithm to compute an approximation of the skeleton of ?Ω. We illustrate the approach with some numerical experiments. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
