Name
Abstract | ||
|---|---|---|
In this paper we introduce an affine invariant distance definition from a point to the boundary of a bounded shape using morphological multiscale analysis. We study the mathematical behavior of this distance by examining separately the cases of convex and non-convex shapes. We prove that the proposed distance is bounded in the convex hull of the shape and infinite otherwise. A numerical scheme is given as well as experiments illustrating the behavior of the affine invariant distance. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1007/s10851-015-0585-9 | Journal of Mathematical Imaging and Vision |
Keywords | Field | DocType |
Multiscale analysis,Scale space,Affine invariance,Distance map | Affine transformation,Affine shape adaptation,Topology,Affine geometry,Mathematical optimization,Affine combination,Mathematical analysis,Affine coordinate system,Affine plane,Affine group,Affine hull,Mathematics | Journal |
Volume | Issue | ISSN |
55 | 2 | 0924-9907 |
Citations | PageRank | References |
1 | 0.40 | 11 |
Authors | ||
5 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| L. Alvarez | 1 | 285 | 39.37 |
| Carmelo Cuenca | 2 | 16 | 6.12 |
| Julio Esclarín | 3 | 35 | 4.47 |
| L. Mazorra | 4 | 38 | 6.69 |
| Jean-Michel Morel | 5 | 3590 | 228.85 |