Re: [Algorithms] Undershooting in spherical harmonics generatedbycubemap convolution

[Jarkko L. <al...@gm...>]

FWIW, radially symmetric SH is called zonal harmonics.


Cheers, Jarkko


-----Original Message-----
From: Alen Ladavac [mailto:ale...@cr...] 
Sent: Thursday, May 07, 2009 1:50 PM
To: Sam Martin
Cc: Game Development Algorithms
Subject: Re: [Algorithms] Undershooting in spherical harmonics
generatedbycubemap convolution

Sam wrote at 5/6/2009:
> It really is just a scalar - this is one of the very cool things
> about SH. When represented in SH, the blurry version is just a
> scaled version of the non-blurry version. This is true when
> convolving against any radially symmetric function. The radially
> symmetic bit effectively means the result doesn't depend on the
> m-components of the function, and turns into just one scalar for
> each L.

Ah, scalar _per band_! Yes, that makes sense. I originally thought you
ment scaling all the factors by the same scalar, which sounded weird.

> You should think of the L-bands in SH as frequencies.

Indeed. I somehow skipped over that part. It makes the whole concept
much easier to digest. :)

Thanks,
Alen


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