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CCCG
2003
13 years 8 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 12 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
JC
2010
95views more  JC 2010»
13 years 6 months ago
Stochastic perturbations and smooth condition numbers
In this paper we dene a new condition number adapted to directionally uniform perturbations in a general framework of maps between Riemannian manifolds. The denitions and theorem...
Diego Armentano
EMMCVPR
2005
Springer
14 years 1 months ago
Geodesic Image Matching: A Wavelet Based Energy Minimization Scheme
In this paper, we first detail the geodesic matching of images which consists in minimizing an energy resulting from a Riemannian metric on a manifold of images, which itself come...
Laurent Garcin, Laurent Younes
FOCM
2008
100views more  FOCM 2008»
13 years 7 months ago
A Unifying Local Convergence Result for Newton's Method in Riemannian Manifolds
We consider the problem of finding a singularity of a differentiable vector field X defined on a complete Riemannian manifold. We prove a unified result for the existence and local...
Felipe Alvarez, Jérôme Bolte, Julien ...