Spline knot sequence ($\Delta =(t_i{)}_{i=1}^{n+k}$)

A spline knot sequence is a nondecreasing list of spline knots, including their multiplicities, that specifies the junctions and smoothness constraints of a spline space. An order-$k$ B-spline uses $k+1$ consecutive knot entries. Its support must have positive width, and repeated knots are interpreted by confluent divided differences or their limiting convention.