Chris Colefax <chr### [at] tagpovrayorg> wrote in message
news:39262b8b@news.povray.org...
> When I said there was no known solution, I meant quite literally that
no-one
> has been able to solve this problem since the first invention/discovery of
> the various cubic spline functions!  I'd certainly applaud your efforts to
> be the first, but it seems that approximation works well for just about
> everyone who's had a need for finding the length of a cubic spline
segment -
> so don't lose any sleep over it...

Indeed, the solution can be found, but it is enormous, complex and uses
functions that can only be calculated by approximation!
I suspect that your method actually gives the best accuracy : cpu-time
ratio.

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