Given a set P of n points in convex position in the plane, we prove that there exists a point p ∈ P such that the number of distinct distances from p is at least (13n−6)/36 . ...
Point-based surfaces (i.e. surfaces represented by discrete point sets which are either directly obtained by current 3D acquisition devices or converted from other surface represe...
Tamy Boubekeur, Patrick Reuter, Christophe Schlick
We consider an obnoxious facility location problem in which the facility is a trajectory consisting of a bounded length polygonal chain of two edges having extremes anchored at tw...
We propose to look at the computational complexity of 2-dimensional geometric optimization problems on a finite point set with respect to the number of inner points (that is, poi...
We present an exact algorithm for computing the precise Hausdorff distance between two general polyhedra represented as triangular meshes. The locus of candidate points, events wh...
Michael Barton, Iddo Hanniel, Gershon Elber, Myung...