Interpolate 3D praise

[Cristian Vogel]

Amazing mind bending 3D interpolating DSP mixer. It seems to be highly efficient, and remarkably unique.  Thankyou SSC!!

One question. When we switch to Powercrossfade, how is this exponential curve implemented in the virtual 3D space?

 

[kymaguy]

I don’t know how ssc implemented it but I’d start with a simple case of two sources and a linear fade:

Out := (SourceA * !Fade) + (SourceB * (1 – !Fade)).

for equal power we need the squares to add up to 1:

Out := (SourceA * !Fade sqrt) + (SourceB * (1 – !Fade sqrt)).

Now expand the idea to 2D (4 Sources):

Out1 := (SourceA * !XFade sqrt) + (SourceB * (1 – !XFade sqrt)).

Out2 := (SourceC * !XFade sqrt) + (SourceD * (1 – !XFade sqrt)).

Out := (Out1 * !YFade sqrt) + (Out2 * (1 – !YFade sqrt)).

And so on for 3D, 4D, 5D,…

I’m looking at it from the output side, you could as well look at it from the individual sources. For example for 2D equal-power:

LevelA := (!XFade + !YFade) sqrt.

LevelB := ((1 – !XFade) + !YFade) sqrt.

LevelC := (!XFade + (1 – !YFade)) sqrt.

LevelD := ((1 – !XFade) + (1 – !YFade)) sqrt.

Not sure if both examples give the same result, I may have mixed something up. But I hope the idea is clear 🙂

Cheers,

Gustav

 

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