Farthest-Polygon Voronoi Diagrams
Résumé
Given a family of k disjoint connected polygonal sites in general position and of total complexity n, we consider the farthest-site Voronoi diagram of these sites, where the distance to a site is the distance to a closest point on it. We show that the complexity of this diagram is O(n), and give an O(n log^3 n) time algorithm to compute it. We also prove a number of structural properties of this diagram. In particular, a Voronoi region may consist of k-1 connected components, but if one component is bounded, then it is equal to the entire region.
Domaines
Géométrie algorithmique [cs.CG]
Fichier principal
final.pdf (311.33 Ko)
Télécharger le fichier
2011 Farthest-Polygon Voronoi Diagrams.png (50.69 Ko)
Télécharger le fichier
| Origine | Fichiers produits par l'(les) auteur(s) |
|---|
| Format | Figure, Image |
|---|
Loading...