[gameprogrammer] curves

Hallo!

This topic is not direct connected with game programming, but I hope you 
could help me or write where should I search or query for a solution.

The problem is:
I need a curve that should go through at least 7 controll points, it 
must not swing if more points are given and I should be able to 
parametrize it with only one independent parameter.

curves I tried to use and why they do not answer the purpose:

Lagrange interpolation: it swings if more than 6-7 points are given.

Spline: it is composed of segments so there is no paramter that runs 
over the entire curve.

Nurbs: It dous not run through the controll points. I think with 
different knot functions it should go throught the points pat than it 
must be composed of segments.

Thanks for any idea,
Norbert



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