摘要
This paper gives an additional definition to multivariate truncated power T(x|x1 ,…,xn) when the knots x1 ,…,xn do not span the whole space to which x1 ,…,xn belong. By which, together with the recurrence relation, the practical evaluation of T(x|x1,…,xn ) will be very convenient and efficient. The same discussion is also done to box splines.
This paper gives an additional definition to multivariate truncated power T(x|x1 ,…,xn) when the knots x1 ,…,xn do not span the whole space to which x1 ,…,xn belong. By which, together with the recurrence relation, the practical evaluation of T(x|x1,…,xn ) will be very convenient and efficient. The same discussion is also done to box splines.