POV-Ray : Newsgroups : povray.general : Q: What is a degenerate triangle? : Re: Q: What is a degenerate triangle? Server Time
12 Aug 2024 11:24:14 EDT (-0400)
  Re: Q: What is a degenerate triangle?  
From: david sharp
Date: 24 Mar 1999 11:06:14
Message: <36F90D8F.215E@interport.net>
Ron Parker wrote:
>						    The best understanding
> I've been able to formulate for a bicubic patch is that the four corners
> of a patch are always on the surface of the patch.  The other eight edge
> points are "control points" analogous to the "handles" on Bezier curves
> in programs like Corel Draw, Freehand, or Illustrator in that they define
> the beginning and ending direction of the curves that define the edges of
> the patch, as well as the "tension" at the corners.  These eight points
> also specify the surface normals at the four corners, sorta indirectly.
> 
> The four points in the middle of the patch are the hardest to understand,
> but I tend to visualize them as the same sort of "control points," except
> that the "anchors" they are associated with are not actually on the
> surface of the patch.  In a sense, they control how the surface slopes
> away from the edge curves, though their exact effect might not be
> immediately or intuitively obvious.

Thanks. This makes bicubics less intimidating.


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