POV-Ray : Newsgroups : povray.advanced-users : Stochastics expertise needed : Re: Stochastics expertise needed Server Time
2 May 2024 03:54:54 EDT (-0400)
  Re: Stochastics expertise needed  
From: clipka
Date: 26 Aug 2016 05:36:31
Message: <57c00d9f@news.povray.org>
Am 26.08.2016 um 10:28 schrieb Thorsten Froehlich:

> I suppose no. 16 on http://mathworld.wolfram.com/SpherePointPicking.html hints
> at the solution: You "just" need a space defined by a vector that meets the
> above criteria. The "distortion" of the space at the selected point will then
> allow computation of a scalar that should have some relation to the sample
> density. Basically, with the shape of the unit hull you can also shape the
> sample density by projecting it back on a unit sphere.

"_hints_ at the solution"... "_some_ relation to the sample density"...
(emphasis added)... I think I see a pattern there ;)

> However, I am not sure if the "incorrect" example on that page won't
> already solve most of your problem.

Not exactly:

- It has samples bunching up at both poles, not just +Y.
- The tightness of the bunching-up cannot be tweaked.
- The off-peak density does not approach zero.


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