Let P be a set of n points in Rd. The radius of a k-dimensional flat F with respect to P, denoted by RD(F, P), is defined to be maxp∈P dist(F, p), where dist(F, p) denotes the...
Let B be a collection of n arbitrary balls in R3 . We establish an almost-tight upper bound of O(n3+ε ), for any ε > 0, on the complexity of the space F(B) of all the lines t...
In this paper we introduce, analyze and quantitatively compare a number of surface simplification methods for point-sampled geometry. We have implemented incremental and hierarchi...
We present a robust approach to creating 2.5D building models from aerial LiDAR point clouds. The method is guaranteed to produce crack-free models composed of complex roofs and ve...
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....