Hermite Spline Interpolation

Function: - Hermite Spline Interpolation 3

By increasing X axis value this function has the ability to increase the oscillation density. We should increase the number of fitted nodes as between the neighbouring nodes the function can rapidly change value and the Hermite Spline could miss a function. It can be seen that the Hermite Spline Interpolation max and min are not equal to the expected function max and min which are -1 and 1.

Graph 36. Zoomed Graph 34. Function - Hermite Spline Interpolation (red curve). It can be seen that the Hermit Spline line does not meet the function maximums and minimums which are 1 and -1. But by increasing the number of nodes we can expect better results.

Graph 37. Function - Hermite Spline Interpolation (red curve) compared to Cubic Spline (blue line).