Algorithm 1020: Computation of Multi-Degree Tchebycheffian B-Splines

Multi-degree Tchebycheffian splines are with pieces drawn from extended (complete) Tchebycheff spaces, which may differ interval to interval, and possibly of different dimensions. These a natural extension multi-degree polynomial splines. Under quite mild assumptions, they can be represented in terms so-called B-spline (MDTB-spline) basis; such basis possesses all the characterizing properties classical basis. We present practical framework compute MDTB-splines, provide an object-oriented implementation Matlab . The supports construction, differentiation, visualization MDTB-splines whose belong spaces that null-spaces constant-coefficient linear differential operators. construction relies on extraction operator maps local Bernstein functions MDTB-spline interest.