> Projecting the disk onto the hemisphere requires "blowing up" the set of
> samples in order to prevent samples "sticking" nearby the edge of the
> sphere/disk. The surface near the center of the disk grows more than the
> surface near the edge, so near the center the samples move farther away.
> That results in an uneven distribution.

I'm not sure your understood the projection
sample points evenly on disc (x,y)
then build (x,y,z) with same x,y and z=sqrt(x*x+y*y)
(and we do want an uneven distribution with more points near the center)

M

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