SOME REMARKS ON SPLINES

Abstract

Although detailed proofs of certain of the more elegant fundamental properties of splines are sometimes non-trivial, the basic underlying ideas are very simple indeed. With a modern computer it is easy to implement the methods described in this paper. Many computer libraries will include optimisation and spline subroutines which can be combined conveniently for this purpose. (For example, several of the calculations in this paper were carried out with the aid of NAG library facilities.)