We propose a novel subdivision of the plane that consists of both convex polygons and pseudotriangles. This pseudo-convex decomposition is significantly sparser than either conve...
Oswin Aichholzer, Clemens Huemer, S. Kappes, Betti...
We present two new fundamental lower bounds on the worst-case combinatorial complexity of sets of free lines and sets of maximal free line segments in the presence of balls in thr...
Given a set S of line segments in the plane, we introduce a new family of partitions of the convex hull of S called segment triangulations of S. The set of faces of such a triangul...
We establish upper and lower bounds on the number of connected components of lines tangent to four triangles in R3 . We show that four triangles in R3 may admit at least 88 tangent...
A triangulation of a point set Pn is a partitioning of the convex hull Conv(Pn) into a set of triangles with disjoint interiors such that the vertices of these triangles are in Pn...