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ESA
2009
Springer
127views Algorithms» more  ESA 2009»
15 years 11 months ago
Geometric Spanners for Weighted Point Sets
Let (S, d) be a finite metric space, where each element p ∈ S has a non-negative weight w(p). We study spanners for the set S with respect to weighted distance function dw, wher...
Mohammad Ali Abam, Mark de Berg, Mohammad Farshi, ...
COMPGEOM
2000
ACM
15 years 10 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
COMPGEOM
1998
ACM
15 years 10 months ago
Design and Analysis of Planar Shape Deformation
Shape deformation refers to the continuous change of one geometric object to another. We develop a software tool for planning, analyzing, and visualizing deformations between two ...
Siu-Wing Cheng, Herbert Edelsbrunner, Ping Fu, Ka-...
COMPGEOM
2005
ACM
15 years 8 months ago
Incidences of not-too-degenerate hyperplanes
We present a multi-dimensional generalization of the Szemer´edi-Trotter Theorem, and give a sharp bound on the number of incidences of points and not-too-degenerate hyperplanes i...
György Elekes, Csaba D. Tóth
ENTCS
2008
68views more  ENTCS 2008»
15 years 6 months ago
The Reach-and-Evolve Algorithm for Reachability Analysis of Nonlinear Dynamical Systems
This paper introduces a new algorithm dedicated to the rigorous reachability analysis of nonlinear dynamical systems. The algorithm is initially presented in the context of discre...
Pieter Collins, Alexandre Goldsztejn