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Re: Problem: Smallest sphere including all 3D points

  • To: mathgroup at smc.vnet.net
  • Subject: [mg16527] Re: Problem: Smallest sphere including all 3D points
  • From: Selwyn Hollis <shollis at peachnet.campuscwix.net>
  • Date: Tue, 16 Mar 1999 04:00:05 -0500
  • Organization: sometimes lacking
  • References: <7cd869$o91@smc.vnet.net>
  • Sender: owner-wri-mathgroup at wolfram.com

Interesting...
But even more interesting if its center is not at the centroid of the
given set of points.

sh


"Barthelet, Luc" wrote:

>
>  I was just asked by a friend how to find the smallest sphere that
>  would include all points from a set of 3D points.
>  It feels like finding a 3D convex hull and then finding the best
>  sphere (??)
>  I would appreciate any complete solution or best set of pointers...
>
>         Thank you,
>
>         Luc Barthelet
>         General manager, Maxis
>         http://www.simcity.com <http://www.simcity.com>  (we are #1!)
>
>

--
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Dr. Selwyn Hollis
Associate Professor of Mathematics
Armstrong Atlantic State University
Savannah, GA 31419 USA
<http://www.math.armstrong.edu/faculty/hollis/>
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~




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