In this paper, we consider an optimalmotionplanning problem for a pair of point robots in a planar environment with polygonal obstacles. We seek a pair of paths upon which the rob...
We analyze degeneracy of lower envelopes of algebraic surfaces. We focus on the cases omitted in the existing complexity analysis of lower envelopes [Halperin and Sharir 1993], an...
Given three angles summing to 2, given n points in the plane and a tripartition k1 + k2 + k3 = n, we can tripartition the plane into three wedges of the given angles so that the ...
Prosenjit Bose, Leonidas J. Guibas, Anna Lubiw, Ma...
d abstract) Gunter Rotey Christian Schwarzz Jack Snoeyinkx The width of a set of n points in the plane is the smallest distance between two parallel lines that enclose the set. W...
A k-dense corridor through a finite set, S, of n points in the plane is the open region of the plane that is bounded by two parallel lines that intersect the convex hull of S and ...