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» Exact Geometric and Algebraic Computations in CGAL
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DCG
1998
59views more  DCG 1998»
13 years 5 months ago
A Probabilistic Analysis of the Power of Arithmetic Filters
The assumption of real-number arithmetic, which is at the basis of conventional geometric algorithms, has been seriously challenged in recent years, since digital computers do not...
Olivier Devillers, Franco P. Preparata
COMPGEOM
2001
ACM
13 years 9 months ago
The convex hull of ellipsoids
The treatment of curved algebraic surfaces becomes more and more the focus of attention in Computational Geometry. We present a video that illustrates the computation of the conve...
Nicola Geismann, Michael Hemmer, Elmar Schöme...
WG
2010
Springer
13 years 3 months ago
Connections between Theta-Graphs, Delaunay Triangulations, and Orthogonal Surfaces
Θk-graphs are geometric graphs that appear in the context of graph navigation. The shortest-path metric of these graphs is known to approximate the Euclidean complete graph up to...
Nicolas Bonichon, Cyril Gavoille, Nicolas Hanusse,...
COMPGEOM
2006
ACM
13 years 11 months ago
Minimum-cost coverage of point sets by disks
We consider a class of geometric facility location problems in which the goal is to determine a set X of disks given by their centers (tj) and radii (rj) that cover a given set of...
Helmut Alt, Esther M. Arkin, Hervé Brö...