Staying in the middle: exact and approximate medians in $R^1$ and $R^2$ for moving points
Pankaj Kumar Agarwal,
Mark T. de Berg,
Jie Gao,
Leonidas J. Guibas,
and Sariel Har-Peled
Proc. 17th Canad. Conf. Computational Geometry (CCCG 2005), 2005
http://cccg.cs.uwindsor.ca/papers/19.pdf
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