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CCCG
2006
15 years 1 months ago
An O(n log n) Algorithm for the All-Farthest-Segments Problem for a Planar Set of Points
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...
Asish Mukhopadhyay, Robert L. Scot Drysdale
CCCG
2006
15 years 1 months ago
On the Maximum Span of Fixed-Angle Chains
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...
Nadia Benbernou, Joseph O'Rourke
CCCG
2006
15 years 1 months ago
Range-Aggregate Proximity Detection for Design Rule Checking in VLSI Layouts
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...
R. Sharathkumar, Prosenjit Gupta
CCCG
2006
15 years 1 months ago
An Optimal Solution to Room Search Problem
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...
CCCG
2009
15 years 1 months ago
Clarkson's Algorithm for Violator Spaces
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...
Yves Brise, Bernd Gärtner