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! L2KNTS converts breakpoints to knots.
Discussion:
The breakpoint sequence BREAK is converted into a corresponding
knot sequence T to allow the representation of a piecewise
polynomial function of order K with K-2 continuous derivatives
as a spline of order K with knot sequence T.
This means that T(1:N+K) = BREAK(1) K times, then BREAK(2:L),
then BREAK(L+1) K times.
Therefore, N = K - 1 + L.
Modified:
14 February 2007
Author:
Carl DeBoor
Reference:
Carl DeBoor,
A Practical Guide to Splines,
Springer, 2001,
ISBN: 0387953663,
LC: QA1.A647.v27.
Parameters:
Input, integer ( kind = 4 ) K, the order.
Input, integer ( kind = 4 ) L, the number of polynomial pieces.
Input, real ( kind = 8 ) BREAK(L+1), the breakpoint sequence.
Output, real ( kind = 8 ) T(N+K), the knot sequence.
Output, integer ( kind = 4 ) N, the dimension of the corresponding spline
space of order K.
| Type | Intent | Optional | Attributes | Name | ||
|---|---|---|---|---|---|---|
| real(kind=8) | :: | break(l+1) | ||||
| integer(kind=4) | :: | l | ||||
| integer(kind=4) | :: | k | ||||
| real(kind=8) | :: | t(k-1+l+k) | ||||
| integer(kind=4) | :: | n |