POV-Ray : Newsgroups : povray.advanced-users : New random distribution macros : Re: New random distribution macros Server Time
24 Feb 2024 17:31:15 EST (-0500)
  Re: New random distribution macros  
From: Le Forgeron
Date: 5 Mar 2021 07:09:14
Message: <60421f6a$1@news.povray.org>
Le 04/03/2021 à 20:22, Bald Eagle a écrit :

> What needs to be done is to calculate the arc length of the curve in the u or v
> direction, and then compensate for that additional distance by clustering more
> random samples in those areas.
> https://www.mathwords.com/a/arc_length_of_a_curve.htm

When someone says that every length can be computed, I am reminded of
the ellipse.

You can compute the area of the ellipse accurately, but not its perimeter.

And if you have a formula for the length of the perimeter of the
ellipse, a true formula, not an approximation, you are an alien.

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