Editing Interpolation (section)

==Other forms==
Other forms of interpolation can be constructed by picking a different class of interpolants. For instance, rational interpolation is '''interpolation''' by [[rational function]]s using [[Padé approximant]], and [[trigonometric interpolation]] is interpolation by [[trigonometric polynomial]]s using [[Fourier series]]. Another possibility is to use [[wavelet]]s.

The [[Whittaker–Shannon interpolation formula]] can be used if the number of data points is infinite or if the function to be interpolated has compact support.

Sometimes, we know not only the value of the function that we want to interpolate, at some points, but also its derivative. This leads to [[Hermite interpolation]] problems.

When each data point is itself a function, it can be useful to see the interpolation problem as a partial [[advection]] problem between each data point. This idea leads to the [[displacement interpolation]] problem used in [[Transportation theory (mathematics)|transportation theory]].