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GM
1999
Springer
13 years 9 months ago
Data-Dependent Triangulation in the Plane with Adaptive Knot Placement
In many applications one is concerned with the approximation of functions from a finite set of scattered data sites with associated function values. We describe a scheme for cons...
René Schätzl, Hans Hagen, James C. Bar...
COMPGEOM
2008
ACM
13 years 6 months ago
A simple and efficient kinetic spanner
We present a kinetic data structure for maintaining a (1+ )-spanner of size O(n/2 ) for a set of n moving points in the plane. Assuming the trajectories of the points can be descr...
Mohammad Ali Abam, Mark de Berg, Joachim Gudmundss...
COMPGEOM
2005
ACM
13 years 6 months ago
Kinetic sorting and kinetic convex hulls
Let S be a set of n points moving on the real line. The kinetic sorting problem is to maintain a data structure on the set S that makes it possible to quickly generate a sorted li...
Mohammad Ali Abam, Mark de Berg
COMPGEOM
2010
ACM
13 years 10 months ago
Kinetic stable Delaunay graphs
The best known upper bound on the number of topological changes in the Delaunay triangulation of a set of moving points in R2 is (nearly) cubic, even if each point is moving with ...
Pankaj K. Agarwal, Jie Gao, Leonidas J. Guibas, Ha...
COMPGEOM
2004
ACM
13 years 10 months ago
An empirical comparison of techniques for updating Delaunay triangulations
The computation of Delaunay triangulations from static point sets has been extensively studied in computational geometry. When the points move with known trajectories, kinetic dat...
Leonidas J. Guibas, Daniel Russel