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COMPGEOM
2006
ACM
13 years 9 months ago
Sliver removal by lattice refinement
I present an algorithm that can provably eliminate slivers in the interior of a tetrahedral mesh, leaving only tetrahedra with dihedral angles between 30 and 135 degrees and radiu...
François Labelle
COMPGEOM
2006
ACM
13 years 11 months ago
On the maximum number of edges in topological graphs with no four pairwise crossing edges
A topological graph is called k-quasi-planar, if it does not contain k pairwise crossing edges. It is conjectured that for every fixed k, the maximum number of edges in a kquasi-...
Eyal Ackerman
COMPGEOM
2006
ACM
13 years 11 months ago
An upper bound on the average size of silhouettes
It is a widely observed phenomenon in computer graphics that the size of the silhouette of a polyhedron is much smaller than the size of the whole polyhedron. This paper provides,...
Marc Glisse
COMPGEOM
2006
ACM
13 years 11 months ago
How slow is the k-means method?
The k-means method is an old but popular clustering algorithm known for its observed speed and its simplicity. Until recently, however, no meaningful theoretical bounds were known...
David Arthur, Sergei Vassilvitskii
COMPGEOM
2006
ACM
13 years 11 months ago
On overlays and minimization diagrams
The overlay of 2 ≤ m ≤ d minimization diagrams of n surfaces in Rd is isomorphic to a substructure of a suitably constructed minimization diagram of mn surfaces in Rd+m−1 . ...
Vladlen Koltun, Micha Sharir