The problem of computing a representation of the stabbing lines of a set S of segments in the plane was solved by Edelsbrunner et al. We provide efficient algorithms for the follo...
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...
A binary space partition (BSP) for a set of disjoint objects in Euclidean space is a recursive decomposition, where each step partitions the space (and some of the objects) along ...
We give a simple O(n log n) algorithm to compute the convex hull of the (possibly Θ(n2 )) intersection points in an arrangement of n line segments in the plane. We also show an a...
Esther M. Arkin, Joseph S. B. Mitchell, Jack Snoey...
We introduce a novel and general approach for digitalization of line segments in the plane that satisfies a set of axioms naturally arising from Euclidean axioms. In particular, ...