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Subject: Re: A Geometry Problem



"Vector" wrote in message
news:1145068978.245417.13290@e56g2000cwe.googlegroups.com...
> Give a set of points in 3D Space {Vi: 1 = 1,2,...,n}, find the point
> Va, a (- {1,2,...,n} to minimize
>
> distance = sum||Va-Vi||
> i=1,..n
>
> to design a O(n^2)algorithm is easy , is there fast algorighm, for
> example O(n*logn)

See "Computational Geometry: An Introduction", by
F. P. Preparata and M. I. Shamos, Springer-Verlag.
Section 5.4 is on "The Closest Pair Problem: A
Divide-and-Conquer Approach".

--
Dave Eberly
http://www.geometrictools.com



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