Hi Dillon,

A further correction, the argument to P is the elevation, and the argument
to T should be azimuth, so

  N(l, abs(m)) * P(l, abs(m), sin(E)) * T(m, A)


Aaron (hel...@ai.sri.com)
Menlo Park, CA  US


On Thu, Jan 14, 2016 at 9:27 AM, Dillon Cower <dco...@google.com> wrote:

> Hi Aaron,
>
> Thanks for pointing that out; just a series of bad (horrible, really!)
> typos from transcribing code. :) The equations should be corrected now.
>
> Dillon
>
> On Thu, Jan 14, 2016 at 9:13 AM Aaron Heller <hel...@ai.sri.com> wrote:
>
> > Unfortunately, the definition of the spherical harmonics given in the
> > document is wrong.  The argument to the associated Legendre polynomial
> > should not be multiplied by abs(m).  The definition of T is sloppy as
> > well.  Using the document's notation it should be
> >
> >   N(l, abs(m)) * P(l, abs(m), sin(A)) * T(m, E)
> >
> > with T(m,x) is sin(-m*x) for m<0, cos(m*x) otherwise.
> >
> > The way it is specified in the document, m is always positive inside T.
> >
> > As an exercise in learning SymPy (symbolic python), I've written a
> library
> > that derives the polynomials for the spherical harmonics in cartesian and
> > spherical coordinates.   I'll post a link later today.
> >
> >
> > Aaron Heller (hel...@ai.sri.com)
> > Menlo Park, CA  US
> >
> > On Thu, Jan 14, 2016 at 5:55 AM, Marc Lavallée <m...@hacklava.net>
> wrote:
> >
> > >
> > > It's about time!
> > >
> > > I made my little effort last year, with an experiment on
> > > http://ambisonic.xyz, but I did not updated it since. It gives me hope
> > > that ambisonics could become the "de facto" standard for 360 videos, or
> > > at least a viable and supported option. This a serious opportunity to
> > > promote ambisonics, and the sursound community should help to define
> > > the RFC.
> > >
> > > --
> > > Marc
> > >
> > > Le Thu, 14 Jan 2016 08:13:51 -0500,
> > > Ben Bloomberg <b...@mit.edu> a écrit :
> > >
> > > > Check it out!
> > > >
> > >
> >
> https://github.com/google/spatial-media/blob/master/docs/spatial-audio-rfc.md
> > > >
> > > > Ben
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