Hello. As part of your modelling effort of the Earth, you seem to
maintain a high order spherical harmonic decomposition of the Earth's
gravitational potential. So as to provide a high-definition,
multi-resolution map of what the geoid looks like e.g. for satellite
navigation and for accelerometer/gravimetric measurement compensation.
I'd be thrilled to look at your datasets as well, but now I'm contacting
you for a reason that is much more mundane. Namely, I'm interested in
the code which you use to calculate with very high order spherical
surface harmonic decompositions, at least over a scalar field, while
maintaining high numerical precision. Could you perhaps put that portion
of your codebase out into the open, as open source?
The reason I ask comes from acoustics, and in particular, the audio
system called "Ambisonics". It utilizes spherical surface harmonics from
the ground up, and it's right sunshine at the lower orders, with code
specifically targeted and hand-crafted for them.
Still, the basic, numerically stable, high order decompositions it would
need cannot be found from the literature, which makes it really
difficult for this sort of technology to spread in the open-source
circuit; which it really needs in order to succeed. You probably then
have the code to enable that, and since it's pure math and numerical
analysis, it shouldn't be too difficult to share it out loud.
What say you? (If you answer, also copy this and your response to
Sursound mailing list <[email protected]> .)
--
Sampo Syreeni, aka decoy - [email protected], http://decoy.iki.fi/front
+358-50-5756111, 025E D175 ABE5 027C 9494 EEB0 E090 8BA9 0509 85C2
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