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...
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...
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...
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...
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...