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A NOTE ON THE RECURRENCE RELATIONS OF MULTIVARIATE TRUNCATED POWERS AND BOX SPLINES

A NOTE ON THE RECURRENCE RELATIONS OF MULTIVARIATE TRUNCATED POWERS AND BOX SPLINES
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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.
作者 刘焕文
关键词 TRUNCATED power RECURSION BOX splines. Truncated power, recursion, box splines.
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