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CCCG
2007
15 years 3 months ago
Optimal Point Set Partitioning using Rigid Motion Star Placement
We consider the problem of determining the placement of a star R on a set P of n points in the plane such that a given objective function is maximized. A star R is a set of m rays...
Prosenjit Bose, Jason Morrison
106
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CCCG
2008
15 years 3 months ago
On the Complexity of Point Recolouring in Geometric Graphs
Given a collection of points representing geographic data we consider the task of delineating boundaries based on the features of the points. Assuming that the features are binary...
Henk Meijer, Yurai Núñez Rodrí...
SODA
2008
ACM
86views Algorithms» more  SODA 2008»
15 years 3 months ago
Space-efficient dynamic orthogonal point location, segment intersection, and range reporting
We describe an asymptotically optimal data-structure for dynamic point location for horizontal segments. For n line-segments, queries take O(log n) time, updates take O(log n) amo...
Guy E. Blelloch
CCCG
2006
15 years 3 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
2003
15 years 3 months ago
Computing the Closest Point to a Circle
In this paper we consider the problem of computing the closest point to the boundary of a circle among a set S of n points. We present two algorithms to solve this problem. One al...
Pinaki Mitra, Asish Mukhopadhyay, S. V. Rao