>>       #local result = result + vlength(V2-V1);
>
> In the particular case of a spline, we know the derivative vector at any
> point. I suspect it would be more accurate to use its length rather than 
> the
> distance between two consecutive points.

I don't follow, maybe you could explain that?
I've read through a book on topology a while back and it
seemed very dense to me, isn't a derivative vector a
derivative in respect to a vector field? A vector field
being a mapping from R^n to R^n? I think in this case
a spline is a mapping from R to R^3, doesn't that
rule out some of this sort of math? Remember that
we don't know the type of spline here either.

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