A fractal construction shows that, for any > 0, the -skeleton of a point set can have arbitrarily large dilation: (nc ), where c is a constant depending on and going to zero ...
ded abstract of this chapter appeared as: Herman J. Haverkort, Mark de Berg and Joachim Gudmundsson: Box-trees for collision checking in industrial installations, in Proc. 18th ACM...
Herman J. Haverkort, Mark de Berg, Joachim Gudmund...
The goals of this paper are twofold. The first is to present a new sampling theory for curves, based on a new notion of local feature size. The properties of this new feature size...
We present a quadtree-based decomposition of the interior of a polygon with holes. The complete decomposition yields a constant factor approximation of the minimum weight Steiner ...