POV-Ray : Newsgroups : povray.text.scene-files : bounding box calculator : Re: bounding box calculator Server Time
21 Jun 2021 12:12:50 EDT (-0400)
  Re: bounding box calculator  
From: Bald Eagle
Date: 27 Oct 2019 18:10:00
Message: <web.5db6157d34d8ef064eec112d0@news.povray.org>
"Bald Eagle" <cre### [at] netscapenet> wrote:

> we squish that sphere into a spheroid or ellipsoid?
> Graph those results.   Look at them.   I'm sure they'll say something.
> Just like the trace level on the NMR, we'd be looking for a global _minimum_ on
> each of the axes of the ellipsoid, that tightly girdle the shape.
> Then you'd have 3 axes of the ellipsoid,

Sounds great, Bill.
Some folks already did that, like 30 years ago...
Good job...

"Nevertheless, especially in higher dimensions, the bounding ellipsoid is
superior to the minimal cuboid in many ways. It is unique, whereas the minimal
cuboid is not. There is a reasonable algorithm to implement it. And it is a good
approximation of the object it contains, much better than the minimal cuboid."



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