Let P be a set of n points in the plane. A connecting line of P is a line that passes through at least two of its points. A connecting line is called ordinary if it is incident on...
We propose a method for computing acute (non-obtuse) triangulations. That is, for a given two dimensional domain (a set of points or a planar straight line graph), we compute a tr...
In a previous paper, Calamoneri and Massini studied the problem of drawing the multigrid network in “a grid of minimum area”. In this paper we show that we can draw the multig...
Given a dense sampling S of the smooth boundary of a planar shape O. We show that the medial axis of the union of Voronoi balls centered at Voronoi vertices inside O has a particu...
We analyze the minimum and maximum number of empty pseudo-triangles defined by any planar point set. We consider the cases where the three convex vertices are fixed and where th...