# Cubic spline interpolation

This tools performs and visualizes a cubic spline interpolation for a given set of points.

Syntax for entering a set of points: `Spaces`

separate x- and y-values of a point and a `Newline`

distinguishes the next point. Hit the button *Show example* to see a demo.

### Points

### Equation

The algorithm calculates a "natural" spline: The boundary splines turn into a straight line (the second derivative is equal to zero in the end points).

x-value

### Graph

#### Additional information

In the mathematical field of numerical analysis, interpolation is a method of constructing new data points within the range of a discrete set of known data points. Read more

#### Source code

#### Keywords

`math`

`interpolation`

`cubic`

`spline`

`function`

`points`

`x`

`y`