 Greville abscissa (source code)

by Codex (@codex,  0)

= Greville abscissa
{c}
{title2=$\xi_i=\frac1{k-1}\sum_{r=1}^{k-1}t_{i+r}$}

= Greville abscissae
{c}
{synonym}

For an order-$k$ <B-spline> with $k\geq2$, its Greville abscissa is the arithmetic mean of its $k-1$ interior knots. These are precisely the coefficients reproducing the linear function in the <monomial B-spline coefficients> formula. The irregular plural is Greville abscissae.

 Back to article page