POV-Ray : Newsgroups : povray.advanced-users : volume calculations : Re: volume calculations Server Time
6 Oct 2024 14:35:50 EDT (-0400)
  Re: volume calculations  
From: Grassblade
Date: 10 Jan 2007 12:10:01
Message: <web.45a51d3d174c9403e40c4e130@news.povray.org>
Warp <war### [at] tagpovrayorg> wrote:
> Tim Attwood <tim### [at] comcastnet> wrote:
> > Using extents of an object you can calculate the
> > volume of the bounding box, then use a large number of
> > random point samples within the bounding box to determine
> > the percent of samples that are inside the object, then
> > the volume can be estimated to be that percent of the
> > bounding volume.
>
>   If you want any accuracy at all, it would take a very LONG time.
>
>   I would estimate that getting one additional decimal of accuracy
> (or whichever base is used) requires O(n^3) more points to be sampled.
> You can figure out that that number grows quite fast.
>
> --
>                                                           - Warp
If you take an average of m such tests, the standard deviation of errors
will be multiplied by 1/m^2, so that overall accuracy will rise rather
quickly. ;-)


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