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SODA
1992
ACM
109views Algorithms» more  SODA 1992»
13 years 8 months ago
New Algorithms for Minimum Area k-gons
Given a set P of n points in the plane, we wish to find a set Q P of k points for which the convex hull conv(Q) has the minimum area. We solve this, and the related problem of fi...
David Eppstein
IJCGA
2006
85views more  IJCGA 2006»
13 years 7 months ago
Some Lower Bounds on Geometric Separability Problems
We obtain lower bounds in the algebraic computation tree model for deciding the separability of two disjoint point sets. In particular, we show (n log n) time lower bounds for sep...
Esther M. Arkin, Ferran Hurtado, Joseph S. B. Mitc...
CCCG
2003
13 years 9 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
DCG
2008
86views more  DCG 2008»
13 years 7 months ago
Efficient Algorithms for Maximum Regression Depth
We investigate algorithmic questions that arise in the statistical problem of computing lines or hyperplanes of maximum regression depth among a set of n points. We work primarily...
Marc J. van Kreveld, Joseph S. B. Mitchell, Peter ...
JCO
2010
169views more  JCO 2010»
13 years 6 months ago
An almost four-approximation algorithm for maximum weight triangulation
We consider the following planar maximum weight triangulation (MAT) problem: given a set of n points in the plane, find a triangulation such that the total length of edges in tria...
Shiyan Hu