Thursday, May 24, 2018

Interpolation Methods

Interpolation is the way to estimating a function at intermediate point. There are some methods of interpolation as I refer to Wikipedia:

1. Piecewise constant interpolation : locate the nearest data value and assign the same value.
Piecewise constant interpolation

2. Linear interpolation : taking the midway value between two data points into the a linear function.
Linear interpolation superimposed
3. Polynomial interpolation : is a generalization of linear interpolation by replacing interpolant with a polynomial of higher degree.
Polynomial interpolation plot
4. Spline interpolation : is an interpolation using low-degree polynomial in each intervals and chooses the polynomial pieces such that they fit smoothly together.
Spline intepolation plot

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