POV-Ray : Newsgroups : povray.general : Splines : Re: Splines Server Time
5 Aug 2024 04:14:54 EDT (-0400)
  Re: Splines  
From: Mark Wagner
Date: 10 Dec 2002 23:50:04
Message: <pan.2002.12.11.04.48.56.986452.222@gte.net>
On Tue, 10 Dec 2002 19:50:14 -0500, jfmiller quoth:

> Hi All,
> 
> Is there a reason why Bezier splines that can be used for lathes and
> prisms can't be declared as splines?
> 
> On simular notes:
> 
> What is the difference between Natural and Cubic splines?

Natural splines are a type of cubic spline where the entire spline is
controlled by all control points at once: changing one control point
affects the entire spline, with the greatest effect near the control
point.  These splines produce the smoothest path (mathematically, they
have second-derivative continuity).  Cubic splines are the same type of
cubic spline (Catmull-Rom) that is used in lathe and prism objects.  Each
section of the spline is affected only by the four control points around
it, making it easier to control than the natural cubic spline, but not as
smooth.

-- 
Mark


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