Cubic-spline interpolation: part 2

The authors discuss an approach to approximation based on interpolating a set of points. The one interpolator that they concentrated on, the cubic spline, is relatively straightforward to implement and can be made to be computationally efficient. They also point out that another approach to approximation involves fitting a curve to a set of data points without forcing that curve to pass through any of those data points. This approach is especially useful when the data available is recognized to contain an error component.