On Jan 24, 2013 5:35 PM, "Charles-Pierre Astolfi" <c...@crans.org> wrote:
>
> There's no projection that conserves the distance wrt to any pair of
> points on the sphere (although there are some that conserves the
> distance wrt 1 or 2 specific points on the sphere)
>
> BUT the gnomonic project conserves the shortest path between any pair
> of points on half a sphere. Maybe that's enough for you?
> http://en.wikipedia.org/wiki/Gnomonic_projection
That's a great idea, and would work for diffusion imaging, e.g. The only
problem would be for points that lie on the equator, but it's often
possible to rotate points in such a way that this is of no concern.
Stéfan
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