Cubic Spline Interpolation®

3/24/99

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Cubic Spline Interpolation®

Cubic Spline Interpolation

Spline Apparatus...

Often a polynomial cannot be found which interpolates all the data points. Splines are piece-wise defined functions whose individual curves meet at the points.

Stipulations on the spline

Where’s the math?

General form of the n-1 cubic equations:

Three types of Cubic Splines:

Natural Splines…-the ends of the spline curve extend beyond the boundaries of the data and become linear.

Parabolic Runout - the spline becomes a parabolic curve over the first and last intervals.

Cubic Runout Spline:

Splines and integration:

In Conclusion...

Cubic Spline Interpolation

Author: Sci-Math