On Thu, 10 Apr 2003 23:50:07 -0700, Brendt Hess <bre### [at] attbicom> wrote:
> When I placed in those sweeps, and did a quick test render, I was caught 
> by surprise... the ends of the sweeps did not coincide with the 
> previously plotted points!

http://www.povray.org/documentation/view/15/

As it is stated there only linera_spline is ineterpolation. b_spline and
cubic_spline is aproximation. The property of interpolation is that if you have
contol point given for some t parameter then

  Interpolation( t ) = Control_Point( t )

while in aproximation

  Interpolation( t ) <> Control_Point( t )

(Or perhaps I misunderstand your problem)

ABX

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