I’m a composer, not a mathematician, so while I try, I don’t get very far at 
understanding discussions like this. But the subject is of real concern for me, 
because I am currently working in 5.1.4 surround format (channel-based, not 
Atmos) and I would dearly love to find a mac-compatible VST plugin that would 
convincingly render my work in binaural. So, is there a plugin that does what 
Fons describes here? (i.e., given azimuth and elevation for each channel, 
render the signals to binaural convincingly, including an impression of 
elevation for height channels.)

Ralph Jones

> On Sep 13, 2022, at 9:00 AM,Fons Adriaensen wrote:
> 
> Message: 1
> Date: Tue, 13 Sep 2022 15:59:49 +0200
> From: Fons Adriaensen <f...@linuxaudio.org>
> To: sursound@music.vt.edu
> Subject: Re: [Sursound] about principled rendering of ambisonic to
>       binaural
> Message-ID:
>       <20220913135949.ugwflytibwa7p...@mail1.linuxaudio.cyso.net>
> Content-Type: text/plain; charset=iso-8859-1
> 
> 

[Snip]

> Another question is if for high quality binaural rendering, starting from
> Ambisonic content is a good idea at all. 
> 
> Simple fact is that if you want really good results you need very high
> order, and
> 
> 1. such content isn't available from direct recordings (we don't have even
> 10th order microphpones), so it has to be synthetic,
> 
> 2. rendering it from an Ambisonic format would be very inefficient. For
> example for order 20 you'd need 441 convolutions if you assume L/R head
> symmetry, twice that number if you don't.
> 
> Compare this to rendering from object encoded content (i.e. mono signals 
> plus directional metadata). You need only two convolutions per object.
> Starting from a sufficiently dense HRIR set, you can easily generate a
> new set on a regular grid with a few thousand points, and interpolate 
> them (VBAP style) in real time. This can give you the same resolution
> as e.g. order 40 Ambisonics at fraction of the complexity.
> 
> 
> Ciao,
> 
> -- 
> FA

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