POV-Ray : Newsgroups : povray.binaries.images : voronoi cell : Re: voronoi cell Server Time
19 Apr 2024 06:43:56 EDT (-0400)
  Re: voronoi cell  
From: ingo
Date: 11 Feb 2019 13:55:35
Message: <XnsA9F3CAB443AD6seed7@news.povray.org>
in news:5c61ba40@news.povray.org clipka wrote:

> Note that limiting your neighbor points to a sphere surface will create 
> a special case of voronoi cell, in which all surfaces are touching an 
> inscribed sphere.

as can be easily visualised by using some 500 points, approximating this 
sphere. 

> For a more generalized case, use random points _in_ a sphere.

Not tried that yet, was using on sphere to have some control over the size 
of the result, it reduces the shapes variation though. Tried random on a 
few ellipsiods, resulting in tiny objects. Maybe a cylindrical object?
 
> (Also, simply using radom points comes with a non-zero probability that 
> the cell will be "open" because all neighbors happen to occupy the same 
> hemisphere.)

Yep, that happens. 

ingo


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