On Nov 4 2010, f...@kokkinizita.net wrote:
it turns out that the 3rd
degree spherical harmonics are neither normalised nor orthogonal
when summed over the set of directions corresponding to the faces
of an icosahedron (but lower degrees are). This is confirmed by
the set of singular values obtained when doing the pseudo-inverse.
That would do it! The interesting thing is, if I interpreted your earlier
emails right, that having _some_ portion of 3rd order is better than having
none at all. That suggests that it might be worth looking at treating
different third order components differently, as in Richard Furse's
"discarded harmonics" approach
(http://www.muse.demon.co.uk/ref/speakers.html)
Dave
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