Interpolating Functions

An interpolating function (or interpolant) for points where for is a function such that for .

Note:

There are infinitely many different interpolating functions for any set of data. We impose different kinds of constraints on the form of the interpolant to ensure there is a unique solution which is meaningful for the data and can be computed efficiently. In the following sections we describe two kinds of interpolation: Polynomial Interpolation (Which is a form of the General Interpolation Framework) and Cubic Spline Interpolation.