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0 | From: steve@hcrlgw (Steven Collins)
Subject: Re: Sphere from 4 points?
Organization: Central Research Lab. Hitachi, Ltd.
Lines: 27
Nntp-Posting-Host: hcrlgw
In article <1qkgbuINNs9n@shelley.u.washington.edu> bolson@carson.u.washington.edu (Edward Bolson) writes:
>Boy, this will be embarassing if it is trivial or an FAQ:
>
>Given 4 points (non coplanar), how does one find the sphere, that is,
>center and radius, exactly fitting those points? I know how to do it
>for a circle (from 3 points), but do not immediately see a
>straightforward way to do it in 3-D. I have checked some
>geometry books, Graphics Gems, and Farin, but am still at a loss?
>Please have mercy on me and provide the solution?
Wouldn't this require a hyper-sphere. In 3-space, 4 points over specifies
a sphere as far as I can see. Unless that is you can prove that a point
exists in 3-space that is equi-distant from the 4 points, and this may not
necessarily happen.
Correct me if I'm wrong (which I quite possibly am!)
steve
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--
+---------------------------------------+--------------------------------+
| Steven Collins | email: steve@crl.hitachi.co.jp |
| Visiting Computer Graphics Researcher | phone: (0423)-23-1111 |
| Hitachi Central Research Lab. Tokyo. | fax: (0423)-27-7742 |
| 11,312 |
0 | From: gunning@cco.caltech.edu (Kevin J. Gunning)
Subject: stolen CBR900RR
Organization: California Institute of Technology, Pasadena
Lines: 12
Distribution: usa
NNTP-Posting-Host: alumni.caltech.edu
Summary: see above
Stolen from Pasadena between 4:30 and 6:30 pm on 4/15.
Blue and white Honda CBR900RR california plate KG CBR. Serial number
JH2SC281XPM100187, engine number 2101240.
No turn signals or mirrors, lights taped over for track riders session
at Willow Springs tomorrow. Guess I'll miss it. :-(((
Help me find my baby!!!
kjg
| 11,313 |