6 | Interpolation

In this section, we use interpolation in Matlab. We look at 1D and 2D interpolation and using linear or spline fits through our data points.

At the end of this section you should be able to:

  1. Perform interpolation in 1D using different continuity conditions

  2. Perform interpolation in 2D

1D Interpolation

1D Linear Interpolation: Estimate the dependent variable by using a weighted average between its two nearest measured locations.

1D Linear Interpolation Example: Using linear interpolation to find the enthalpy and entropy values of steam at a specified temperature not on the steam table.

1D Cubic Spline Interpolation: Higher order interpolation that may better fit the shape of the function generating the experimental data.

2D Interpolation

2D Interpolation: Estimating the value of a dependent function of two independent variables using linear or cubic spline interpolation.

Interpolation vs. Fitting

Lecture Code

Additional Resources