POV-Ray : Newsgroups : povray.general : b-spline help : Re: b-spline help Server Time
29 Jul 2024 18:16:30 EDT (-0400)
  Re: b-spline help  
From: Christian Froeschlin
Date: 23 Nov 2010 17:13:26
Message: <4cec3c86$1@news.povray.org>
Thomas A. Fine wrote:

> Is my assumption about the relationship between cubic b-splines and
> beziers wrong?  

I think in order to combine cubic beziers into cubic b-splines
you will actually, in general, need to repeat the start, end, and
shared intermediate knots 4 times. There may be better solutions
if your curves are not arbitrary and satisfy some smoothness
requirement where you connect them, but it may not be trivial.

Of course, you also need to do degree elevation on the
quadratic bezier curves first:

http://www.cs.mtu.edu/~shene/COURSES/cs3621/NOTES/spline/Bezier/bezier-elev.html


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