In this paper, we propose an algorithm for computing the farthest-segment Voronoi diagram for the edges of a convex polygon and apply this to obtain an O(n log n) algorithm for th...
Soss proved that it is NP-hard to find the maximum flat span of a fixed-angle polygonal chain: the largest distance achievable between the endpoints in a planar embedding. These f...
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...
A room is a simple polygon with a prespecified point, called the door, on its boundary. A search starts at the door and must detect any intruder that may be in the room, while maki...
Binay K. Bhattacharya, John Z. Zhang, Qiaosheng Sh...
Clarkson's algorithm is a two-staged randomized algorithm for solving linear programs, but it can also be applied to the more general LP-type problems which comprise a number...