POV-Ray : Newsgroups : povray.advanced-users : How to calculate Banking of Bezier-Splines...? : Re: How to calculate Banking of Bezier-Splines...? Server Time
29 Jul 2024 14:19:22 EDT (-0400)
  Re: How to calculate Banking of Bezier-Splines...?  
From:
Date: 23 Feb 2002 06:31:46
Message: <lrue7uo02l8bpo1vgdj7o3b5ld3it7biiu@4ax.com>
On Sat, 23 Feb 2002 12:05:02 +0100, Tim Nikias <tim### [at] gmxde> wrote:
> The problem is actually pretty simple. Using a simple
> cubic bezier-spline as input (2 Nodes, 1 Direction for each
> node = 4 Vectors), I want to calculate the outward
> pointing direction of any point on the spline.

With 4 vetors you have to calculate three equations x(t), y(t), z(t).
It is so called parametric curve. Direction of this curve for particular t
(tangent at this point) is IIRC value of derivative at this point. Look at
http://www.google.com/search?q=derivative+parametric+tangent

ABX


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