Example 1. Temperature Interpolation
Suppose that we have a temperature data set
obtained from major cities of U.S.. The following is the $C^1$ spline
function interpolating an artifial temperature function.
Example 2. Comparison of Different Triangulation, Splines, and Methods,
A given data set has three (possible more) different triangulations.
We interpolate the data using different methods and use
different spline spaces. They yield quite different interpolatory surfaces.
The following figures have different triangulation.
