# 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

By default, the algorithm calculates a "natural" spline. Details about the mathematical background of this tool and boundary conditions can be found here.

x-value

### Graph

### LaTeX

#### Additional information

Cubic spline interpolation is a mathematical method commonly used to construct new points within the boundaries of a set of known points. These new points are function values of an interpolation function (referred to as spline), which itself consists of multiple cubic piecewise polynomials. Read more

#### Source code

#### Keywords

`math`

`interpolation`

`cubic`

`spline`

`function`

`points`

`x`

`y`