We study the graph partitioning problem on ddimensional ball graphs in a geometric way. Let B be a set of balls in d-dimensional Euclidean space with radius ratio and -precision....
In this paper we study various predicates concerning line transversals to lines and segments in 3D. We compute the degrees of standard methods of evaluating these predicates. The ...
Hazel Everett, Sylvain Lazard, William J. Lenhart,...
We present a generalization of Welzl's smallest enclosing disk algorithm [E. Welzl, Smallest enclosing disks (balls and ellipsoids), in: New Results and New Trends in Compute...
In a range-aggegate query problem we wish to preprocess a set S of geometric objects such that given a query orthogonal range q, a certain intersection or proximity query on the o...
Suppose intruders are in a dark polygonal room and they can move at a finite but unbounded speed, trying to avoid detection. A boundary 1-searcher can move along the polygon bounda...
Tsunehiko Kameda, John Z. Zhang, Masafumi Yamashit...
Given two sets A and B of n points each in R2 , we study the problem of computing a matching between A and B that minimizes the root mean square (rms) distance of matched pairs. W...
Every simple planar polygon can undergo only a finite number of pocket flips before becoming convex. Since Erdos posed this as an open problem in 1935, several independent purport...
Erik D. Demaine, Blaise Gassend, Joseph O'Rourke, ...
We study the following geometric probing problem: Reconstruct a planar polygon from its intersections with a collection of arbitrarily-oriented "cutting" lines. We propo...