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COMPGEOM
2009
ACM
15 years 2 months ago
Visibility maps of realistic terrains have linear smoothed complexity
We study the complexity of the visibility map of terrains whose triangles are fat, not too steep and have roughly the same size. It is known that the complexity of the visibility ...
Mark de Berg, Herman J. Haverkort, Constantinos P....
COMPGEOM
2009
ACM
15 years 2 months ago
k-means requires exponentially many iterations even in the plane
The k-means algorithm is a well-known method for partitioning n points that lie in the d-dimensional space into k clusters. Its main features are simplicity and speed in practice....
Andrea Vattani
COMPGEOM
2009
ACM
15 years 4 months ago
Incremental construction of the delaunay triangulation and the delaunay graph in medium dimension
We describe a new implementation of the well-known incremental algorithm for constructing Delaunay triangulations in any dimension. Our implementation follows the exact computing ...
Jean-Daniel Boissonnat, Olivier Devillers, Samuel ...
COMPGEOM
2009
ACM
15 years 4 months ago
High resolution surface reconstruction from overlapping multiple-views
Extracting a computer model of a real scene from a sequence of views, is one of the most challenging and fundamental problems in computer vision. Stereo vision algorithms allow us...
Nader Salman, Mariette Yvinec
COMPGEOM
2009
ACM
15 years 4 months ago
Approximate center points with proofs
We present the Iterated-Tverberg algorithm, the first deterministic algorithm for computing an approximate centerpoint of a set S ∈ Rd with running time sub-exponential in d. T...
Gary L. Miller, Donald Sheehy