On Wed, Nov 03, 2010 at 10:36:45PM +0000, [email protected] wrote: > I'm still not sure what is bothering me about this but I _think_ > it's something to do with the precise nature of the relationship > between the symmetries in the icosahedron and the symmetries in the > 3rd order spherical harmonics. The pictures you posted look like a > spatial aliasing problem but, as you say, the array does seem to > have a reasonable degree of oversampling, so...
I think you are right about this. Unless some more of my code is completely wrong and has been for years, 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. So my conclusion so far is that the code I was testing is probably OK, but my expectations were not. Ciao, -- FA There are three of them, and Alleline. _______________________________________________ Sursound mailing list [email protected] https://mail.music.vt.edu/mailman/listinfo/sursound
