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From: "Robert Phillips" <phillir1@my.erau.edu>
Newsgroups: comp.soft-sys.matlab
Subject: Ellipsoid
Date: Sun, 28 Nov 2010 05:09:04 +0000 (UTC)
Organization: Embry-Riddle Aeronautical University
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I am trying to use the ellipsoid function to generate its x-y-z coordinates, but the ellipsoid does not lie along x-y-z axes. Therefore, the inputs XR, YR, & ZR are useless to me. 

I have the center point S.

I also have the vectors a_S, b_S, & c_S, which describe the semi-major and semi-minor axes a,b,c. These vectors do not necessarily lie along x, y, or z.

How can I generate the points of an ellipsoid, along a_S, b_S, & c_S?

Which a_S, b_S, c_S becomes the XR, YR, ZR inputs for the ellipsoid function?