Spline Toolbox

Expected Background

The toolbox started out as an extension of MATLAB of interest to experts in spline approximation, to aid them in the construction and testing of new methods of spline approximation. Such people will have mastered the material in PGS.

However, the basic toolbox commands, for constructing and using spline approximations, are set up to be usable with no more knowledge than it takes to understand what it means to, say, construct an interpolant or a least squares approximant to some data, or what it means to differentiate or integrate a function.

With that in mind, there are sections, like Some Simple Examples, that are meant even for the novice, while sections devoted to a detailed example, like the one on constructing a Chebyshev spline or on constructing and using tensor products, are meant for users interested in developing their own spline commands.

A Glossary at the end of this guide provides definitions of almost all the mathematical terms used in this document.

Splines in MATLAB

Technical Conventions