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CCCG
2006
13 years 8 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 8 months ago
(Approximate) Conic Nearest Neighbors and the induced Voronoi Diagram
For a given point set in Euclidean space we consider the problem of finding (approximate) nearest neighbors of a query point but restricting only to points that lie within a fixed...
Stefan Funke, Theocharis Malamatos, Domagoj Matije...
CCCG
2006
13 years 8 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
2006
13 years 8 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 8 months ago
K-Nearest Neighbor Search using the Pyramid Technique
A k-nearest neighbor search algorithm for the Pyramid technique is presented. The Pyramid technique divides d-dimensional data space into 2d pyramids. Given a query point q, we in...
Bradford G. Nickerson, Qingxiu Shi