## Spline Approximation (Mathematics II)

This is the third of a series of article about spline approximation. If you have not done so, you should start reading Spline Approximation (Introduction) Spline Approximation (Mathematics) So a function which is supposed to approximate a given set of points as a linear combination     of functions , as described in the previous …

## Spline Approximation (Mathematics)

The goal of spline approximation has already been explained in the previous article „Spline Approximation (Introduction)„. This article will cover the mathematics behind this approximation and develop an approach. If you do not care about the mathematics, just skip this article and read the Spline Approximation (Cookbook)“, that will come soon. Spline Interpolation We have …

## Spline Approximation (Introduction)

We sometimes encounter a situation where a number of points with coordinates are given and we want to find a function such that for all of these points we have (interpolation) or (approximation). Most often we say that we want on average to be as small as possible and for whatever reasons usually the quadratic …