Interpolating piecewise

Derivatives at the terminal points

As for Bezier spline

therefore all control points

One can take different

You can compare Cardinal (the left picture) and Bezier (the right one) spline curves.

Unfortunately the Cardinal curve cannot be subdivided in two sub-curves
which coincide with the initial one. As since Fig.3 shows, that in common case
the line P is not parallel to the
_{0}P_{3}P one and
the derivative at _{0}^{2}P_{1}^{2} is not P(1/2)(.
P_{3} -
P_{0})/α |

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