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147
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COMPGEOM
1996
ACM
15 years 7 months ago
New Lower Bounds for Convex Hull Problems in Odd Dimensions
We show that in the worst case, (ndd=2e;1 +n logn) sidedness queries are required to determine whether the convex hull of n points in IRd is simplicial, or to determine the number ...
Jeff Erickson
136
Voted
COMPGEOM
2008
ACM
15 years 5 months ago
Polychromatic colorings of plane graphs
We show that the vertices of any plane graph in which every face is of length at least g can be colored by (3g - 5)/4 colors so that every color appears in every face. This is nea...
Noga Alon, Robert Berke, Kevin Buchin, Maike Buchi...
126
Voted
COMPGEOM
2008
ACM
15 years 5 months ago
The complexity of the outer face in arrangements of random segments
We investigate the complexity of the outer face in arrangements of line segments of a fixed length in the plane, drawn uniformly at random within a square. We derive upper bounds ...
Noga Alon, Dan Halperin, Oren Nechushtan, Micha Sh...
127
Voted
DAGSTUHL
2010
15 years 5 months ago
Generalized Swap Operation for Tetrahedrizations
Mesh optimization of 2D and 3D triangulations is used in multiple applications extensively. For example, mesh optimization is crucial in the context of adaptively discretizing geo...
Burkhard Lehner, Bernd Hamann, Georg Umlauf
122
Voted
VISUALIZATION
1998
IEEE
15 years 7 months ago
Interpolation of triangle hierarchies
We consider interpolation between keyframe hierarchies. We impose a set of weak constraints that allows smooth interpolation between two keyframe hierarchies in an animation or, m...
Axel Friedrich, Konrad Polthier, Markus Schmies