| dc.contributor | FGV | |
| dc.creator | Silva, Moacyr Alvim Horta Barbosa da | |
| dc.creator | Teixeira, Ralph Costa | |
| dc.creator | Pesco, Sinesio | |
| dc.creator | Craizer, Marcos | |
| dc.date.accessioned | 2018-05-10T13:35:39Z | |
| dc.date.accessioned | 2019-05-22T14:08:51Z | |
| dc.date.available | 2018-05-10T13:35:39Z | |
| dc.date.available | 2019-05-22T14:08:51Z | |
| dc.date.created | 2018-05-10T13:35:39Z | |
| dc.date.issued | 2008-01 | |
| dc.identifier | 1560-3547 / 1468-4845 | |
| dc.identifier | http://hdl.handle.net/10438/23087 | |
| dc.identifier | 10.1007/s10851-007-0038-1 | |
| dc.identifier | 000252167700001 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/2690670 | |
| dc.description.abstract | In a previous paper, it was proved that the area based affine distance of a convex region in the plane satisfies a non-homogeneous Monge-Ampere differential equation. Based on this equation, in this paper we propose a fast marching method for the computation of this distance. The proposed algorithm has a lower computational complexity than the direct method and we have proved its convergence. And since the algorithm allows one to obtain a connection from any point of the region to the boundary by a path of decreasing distance, it offers a dynamic point of view for the area based affine distance. | |
| dc.language | eng | |
| dc.publisher | Springer | |
| dc.relation | Journal of mathematical imaging and vision | |
| dc.rights | restrictedAccess | |
| dc.source | Web of Science | |
| dc.subject | Affine distances | |
| dc.subject | Affine geometry | |
| dc.subject | Fast marching methods | |
| dc.subject | Monge-ampere equation | |
| dc.title | A fast marching method for the area based affine distance | |
| dc.type | Article (Journal/Review) | |
