Interpolating piecewise

Derivatives at the terminal points

As for Bezier spline

therefore all control points

One can take different

*Interactive Cardinal spline* Use finger or mouse to move the nearest control point.
Use selector to move, add or delete control points.
Drag up-down the small blue rectangle to the right to
change α.

move add delete set α |

You can compare Cardinal and Bezier spline curves with the same control points.

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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