Akima Spline Interpolation

Function: - Akima Spline Interpolation 2

For this function if x is close to zero ln(x) is going to be infinity and therefore the function sin(ln(x)) will have high speed changes from -1 to 1. As this function is moving towards zero, the number of oscillations will be increased. For this function we need to be very careful, too small a number of nodes will produce an interpolation that misses some of maximums and minimums.

Graph 22. Function: - Akima Spline Interpolation (orange) Hermite Spline (red) Cubic Spline (blue), Interpolation. In this example we can see that the Akima Spline(orange) gives the largest mismatch compared to other two interpolations. The Akima generates an arc with longest radius and the amplitude of that arc exceeds the real value which should be one.