Translations:B-Splines/106/en

As derived above, B-splines are created out of $$N_{i,n}$$ piecewise polynomials with continuity up to a certain derivative between the pieces. The endpoints of the piece's definition interval are called knots. For a spline defined over $$k$$ pieces, there are $$k+1$$ knots given by the so-called knot vector: $$\{t_0, t_1, t_2,\dots, t_k\}$$ whereas $$ t_0 < t_1 < t_2 < \dots < t_k$$