[vorbis] square polar mapping - backgrounds

[Ralph Giles]

On Friday, May 23, 2003, at 01:56 am, Stoffke wrote:

> I wanted to find out more about square polar mapping, cause that whole
> stuff is a bit tricky  - to me - and not so easy to understand.
> Searching the web did't get me any results, so I wonder what the 
> background
> of square polar mapping is.

I assume you've seen http://xiph.org/ogg/vorbis/doc/stereo.html ? It 
describes the transformation fairly well (for the 2d case, anyway).

> Is it derived from some mathematical publications or just the result 
> of a brilliant
> intuition of a Vorbis programmer  ? ;)

I always assumed this was something monty came up with independently. I 
suppose it's a bit like a polar version of the manhattan metric, but 
I've never seen a reference to it elsewhere. The whole point is just to 
avoid the trig functions.

Hope that helps,
  -r

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