2D curves manipulator: Bézier curves, splines and polynomial interpolation
This program enables to draw various type of curves commonly used in 2D/3D design software. We can easily visualize the pros and cons of the different techniques.
Bézier curves have a nice behavior as long as the number of control points is low.
Aitken-Neville polynomial interpolation is an interesting alternative when the curve has to go through the control points, but gives crazy results when the number of control points grows.
The best solution is provided by splines curves. Cubic splines have the nicest behavior in my opinion but Hermite splines allow to specify the tangents at the ends which can be useful.