This implementation is based on the Akima implementation in the CubicSpline class in the Math.NET Numerics library. The method referenced is CubicSpline.InterpolateAkimaSorted
The {@link #interpolate(double[],double[])} method returns a{@link PolynomialSplineFunction} consisting of n cubic polynomials, definedover the subintervals determined by the x values, x[0] < x[i] ... < x[n]. The Akima algorithm requires that n>= 5.
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