On Mar 17, 2010, at 9:56 PM, Alexander Solla wrote:
But your "spherical" points don't really form a basis in three-
space, or even over all of two-space.
I'll take this back. Lattitude and longitude is enough to "form a
basis" on R^2, by taking a basis for the surface of the sphere in
terms of latitude and longitude and projecting it stereographically.
So if you wanted to use the normalization idea, you could use the
stereographic projection formulas to turn a spherical point into a
Cartesian point.
http://en.wikipedia.org/wiki/Stereographic_projection
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