Convert a B-spline function to piece-wise polynomial form
The B-spline basis functions of order k = length(t) - 1
defined by the knot sequence in argument t each consist of polynomial
segments with the same order joined end-to-end over the successive gaps in the
knot sequence. This function computes the k coefficients of these polynomial
segments in the rows of the output matrix coeff, with each row corresponding
to a B-spline basis function that is positive over the interval spanned by the
values in t. The elements of the output vector index indicate where
in the sequence t we find the knots. Note that we assume
t[1] < t[k+1], i.e. t is not a sequence of the same knot.
ppBspline(t)
t |
numeric vector = knot sequence of length norder+1 where norder = the order of the B-spline. The knot sequence must contain at least one gap. |
a list object containing components
Coeff |
a matrix with rows corresponding to B-spline basis functions positive
over the interval spanned by |
index |
indices indicating where in the sequence |
ppBspline(1:5)
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