Cardinal ECT-splines
A very general view of splines, B-splines and spline curves is taken by the ECT-spline approach, originally due to Barry. In this paper, these splines are studied extensively, especially the general ECT-systems and their duals, cardinal ECT-splines and B-splines. Many examples are provided as well in order to illustrate the theoretical results. Among other results, the unique existence of B-splines is shown for nonsingular, lower triangular and totally positive connection matrices and the generating function for the B-splines is given.
scientific article; zbMATH DE number 2161198