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CCCG
2006
13 years 11 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
13 years 11 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
13 years 11 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
13 years 11 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
13 years 11 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