POV-Ray : Newsgroups : povray.documentation.inbuilt : SOR documentation : Re: SOR documentation Server Time
9 May 2026 07:57:17 EDT (-0400)
  Re: SOR documentation  
From: ingo
Date: 9 May 2026 04:33:20
Message: <69fef150$1@news.povray.org>
On 2026-05-09 09:36, ingo wrote:
> On 2026-05-08 21:45, Bald Eagle wrote:

in addition, another interesting one to convert is a "bezier style" 
version of the CatmullRom spline. The handles work just like in bezier. 
The reason I thought of this is you mentioning the "natural cubic" 
https://sites.millersville.edu/rbuchanan/math375/CubicSpline.pdf

This is comparable to Akime curves. A system is set up to define a the 
tangents at the endpoints (tridiagonal) of a curve segment. Using these 
and the Hermite curve matrix, the whole thing is resolved.

You can convert any Hermite slopes based curve (natural cubic, monotone, 
Akima, etc.) to Catmull-Rom "Bezier-style" 4-point form.

I have, excusez le mot, a half arsed attempt at code for that in Nim. 
Would take a lot of time to get it going and converted to an include file.

ingo


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