Spline Toolbox

The ppform

A univariate piecewise polynomial  is specified by its break sequence breaks and the coefficient array coefs of the local power form (see (*) below) of its polynomial pieces; -- see Tensor Product Splines for a discussion of multivariate piecewise-polynomials. The coefficients may be d-vectors, usually 2-vectors or 3-vectors, in which case  is a curve in or . To comply with the standard treatment of vectors in this toolbox, any coefficient and any value of a spline curve is always written as a 1-column matrix. For simplicity, the present discussion deals only with the case when the coefficients are scalars.

This section treats these aspects of the ppform:

• Breaks
• ppform
• Construction
• Use

Multivariate Splines

Breaks