# Cubic spline interpolation

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.

### 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

### LaTeX

#### See also

Linear interpolation · Quadratic interpolation · Polynomial interpolation

#### 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

#### Keywords

math interpolation cubic spline function points x y