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» Two Algorithms for the Minimum Enclosing Ball Problem
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CCCG
2010
14 years 11 months ago
Sweeping minimum perimeter enclosing parallelograms: Optimal crumb cleanup
We examine the problem of pushing all the points of a planar region into one point using parallel sweeps of an infinite line, minimizing the sum of the lengths of the sweep vector...
Yonit Bousany, Mary Leah Karker, Joseph O'Rourke, ...
CCCG
2009
14 years 7 months ago
Streaming 1-Center with Outliers in High Dimensions
We study the 1-center problem with outliers in highdimensional data streams. The problem definition is as follows: given a sequence of n points in d dimensions (with d arbitrarily...
Hamid Zarrabi-Zadeh, Asish Mukhopadhyay
ESA
2008
Springer
137views Algorithms» more  ESA 2008»
14 years 11 months ago
An Almost Space-Optimal Streaming Algorithm for Coresets in Fixed Dimensions
We present a new streaming algorithm for maintaining an -kernel of a point set in Rd using O((1/(d-1)/2 ) log(1/)) space. The space used by our algorithm is optimal up to a small ...
Hamid Zarrabi-Zadeh
81
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COCOON
2007
Springer
15 years 1 months ago
An Improved Algorithm for Online Unit Clustering
Abstract. We revisit the online unit clustering problem in one dimension which we recently introduced at WAOA'06: given a sequence of n points on the line, the objective is to...
Hamid Zarrabi-Zadeh, Timothy M. Chan
TCS
2008
14 years 9 months ago
Finding a minimum medial axis of a discrete shape is NP-hard
The medial axis is a classical representation of digital objects widely used in many applications. However, such a set of balls may not be optimal: subsets of the medial axis may ...
David Coeurjolly, Jérôme Hulin, Isabe...