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CCCG
2003
13 years 6 months ago
Estimation of the necessary number of points in Riemannian Voronoi
G. Leibon and D. Letscher showed that for general and sufficiently dense point set its Delaunay triangulation and Voronoi diagram in Riemannian manifold exist. They also proposed ...
Kensuke Onishi, Jin-ichi Itoh
COMPGEOM
2000
ACM
13 years 9 months ago
Delaunay triangulations and Voronoi diagrams for Riemannian manifolds
For a sufficiently dense set of points in any closed Riemannian manifold, we prove that a unique Delannay triangulation exists. This triangulation has the same properties as in Eu...
Greg Leibon, David Letscher
ECCV
2008
Springer
14 years 6 months ago
Anisotropic Geodesics for Perceptual Grouping and Domain Meshing
This paper shows how computational Riemannian manifold can be used to solve several problems in computer vision and graphics. Indeed, Voronoi segmentations and Delaunay graphs comp...
Sébastien Bougleux, Gabriel Peyré, L...
WADS
2001
Springer
105views Algorithms» more  WADS 2001»
13 years 9 months ago
Voronoi Diagrams for Moving Disks and Applications
In this paper we discuss the kinetic maintenance of the Euclidean Voronoi diagram and its dual, the Delaunay triangulation, for a set of moving disks. The most important aspect in ...
Menelaos I. Karavelas
COMGEO
2007
ACM
13 years 4 months ago
Delaunay triangulations approximate anchor hulls
Recent results establish that a subset of the Voronoi diagram of a point set that is sampled from the smooth boundary of a shape approximates the medial axis. The corresponding qu...
Tamal K. Dey, Joachim Giesen, Samrat Goswami