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Find the center!

• To: mathgroup at christensen.cybernetics.net
• Subject: [mg1120] Find the center!
• From: Gottfried Mayer-Kress <gmk at pegasos.ccsr.uiuc.edu>
• Date: Mon, 15 May 1995 02:01:46 -0400

O.k. here is the problem:

There are a bunch of points in 3-space and they are supposed to be 
scattered around the surface of a sphere. You want to find the
center of the sphere and the radius.

NB: The data are noisy (about 2% of the radius) and only cover a patch 
on the sphere.

I think I have a reasonable solution, but maybe someone knows of some 
real elegant method?

Thanks,

---
Gottfried Mayer-Kress
Center for Complex Systems Research, Beckman Institute, Physics Dept. UIUC
405 N Mathews,  Urbana, Il 61801,gmk at pegasos.ccsr.uiuc.edu, gmk at igc.apc.org,
gmk at santafe.edu, (217)-244-5877(voice),x5493(fax1),x8371(fax2), x1994 (msg)
URLs:	http://www.ccsr.uiuc.edu/~gmk/, ftp://ftp.santafe.edu/pub/gmk