We outline an algorithm and implementation of a system that computes Boolean combinations of sculptured solids. We represent the surface of the solids in terms of trimmed and untr...
A thrackle is a graph drawn in the plane so that its edges are represented by Jordan arcs and any two distinct arcs either meet at exactly one common vertex or cross at exactly on...
We present a simple but powerful new probabilistic technique for analyzing the combinatorial complexity of various substructures in arrangements of piecewise-linear surfaces in hig...
Abstract. We show that there is a matching between the edges of any two triangulations of a planar point set such that an edge of one triangulation is matched either to the identic...
Oswin Aichholzer, Franz Aurenhammer, Michael Tasch...
The range searching problem is a fundamental problem in computational geometry, with numerous important applications. Most research has focused on solving this problem exactly, bu...