POV-Ray : Newsgroups : povray.general : Bezier-Splines Updated! : Re: Bezier-Splines Updated! Server Time
4 Aug 2024 20:15:52 EDT (-0400)
  Re: Bezier-Splines Updated!  
From: Dennis Miller
Date: 17 Feb 2003 21:09:50
Message: <3e5195ee$1@news.povray.org>
Hi. Could you post an example scene that used your spline macro to translate
the position of the camera?
thanks much,
Dennis
"Tim Nikias" <tim### [at] gmxde> wrote in message
news:3e515931@news.povray.org...
> I'm not sure if anyone actually uses these macros
> of mine, but I've updated my Bezier-Splines macros,
> which (from my point of view) provide a very intuitive
> approach on spline-modelling.
>
> The update introduces 2. Order continuancy, meaning
> that tangential forces may vary for different sections of
> a spline.
>
> What does that mean?
> Actually, one section is built with 4 vectors: 2 nodes defining
> beginning and end point, and 2 directions defining tangents
> for each point.
> The Macros would take always a pair of 4 vectors and calculate
> a section off of that. So, adding another 2 (1 node + 1 direction)
> to the already existing four, the macro would create a section
> curving from the end-point of the last section with its tangent to
> the new one.
> But the tangential force (its length) defines a very essential part
> of the curving, and when using a strong force for one section,
> it would have impact on the next.
> So just yesterday I read a paragraph about the Bezier-Splines,
> and stumbled upon this 2. Order continuancy. Basically, it states
> that the splines' sections will still join smoothly if the tangent
> stays the same, even though its force changes. That what I
> implemented with the 4th component of the vectors.
>
> Well, enough rambling. If anyones interested, its uploaded on
> my homepage, if not, well... Don't know. Go play! :-)
>
> Regards,
> Tim
> --
> Tim Nikias
> Homepage: http://www.digitaltwilight.de/no_lights/index.html
> Email: Tim### [at] gmxde
>
>


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