POV-Ray : Newsgroups : povray.binaries.images : POV-Ray for geeks only? : Re: POV-Ray for geeks only? Server Time
27 May 2024 09:40:14 EDT (-0400)
  Re: POV-Ray for geeks only?  
From: Ben Chambers
Date: 27 Feb 2007 21:32:33
Message: <45e4e9c1$1@news.povray.org>
Shay wrote:
> Very good, but that's not the entire answer. The control points for the
> final spline were derived from the straight segment corners with Bezier
> type math. The curve of the line connecting them was, however, traced by
> a new spline formula I invented. The curve had to have a very specific
> behavior in order to arch in what I felt was an attractive manner around
> the other segments. Here's a comparison image to POV's cubic and natural
> spline types.

It looks like you created the normal for each point as the normal of a 
plane including the two adjacent points.  Once you have a string of 
points and normals, there are any number of methods for creating control 
points (many of them even allow you to adjust the "curviness" of the 
spline).


...Chambers


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