"Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
> "Tor Olav Kristensen" <tor### [at] TOBEREMOVEDgmailcom> wrote:
> ....
> > This is usually done by constructing a Frenet frame from the first and the
> > second derivatives of the vector function and their cross product. (All the
> > vectors should be normalized.)
> >
> > The first derivative of the vector function is the tangent vector function, the
> > second derivative of the vector function is the binormal vector function and
> > their cross product is the normal vector function.
> ....
>
> I see now that I must have been a too tired when I wrote the above. Sorry about
> that.
>
> The statements about the binormal and the normal vector functions are wrong. The
> binormal vector function is the cross product of the first and the second
> derivatives of the vector function. And the normal vector function is the cross
> product of the tangent and binormal vector functions.

Here's an image that is made with this method:
http://news.povray.org/povray.binaries.images/thread/%3Cweb.568c02c24eea97032fc085110%40news.povray.org%3E/
From: Tor Olav Kristensen
Subject: Frenet frames along parametric curve
Date: 5 Jan 2016 17:55:01

(There's also a link to the source code in that post.)

--
Tor Olav
http://subcube.com

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