C Library Functions  - knots (3)

from * a practical guide to splines * by c. de boor
to be called in
  c o l l o c .
constructs from the given breakpoint sequence
  b r e a k the knot
sequence
  t so that
spline(k+m,t) = pp(k+m,break) with
  m-1 continuous derivatives . this means that
t(1),...,t(n+kpm)
  = break(1) kpm times, then break(2),...,
break(l) each
  k times, then, finally, break(l+1) kpm times.
****** i n p u t ******
break(1),...,break(l+1)
  breakpoint sequence
l number of intervals or pieces
kpm = k + m, order of the pp function or spline
****** o u t p u t ******
t(1),...,t(n+kpm)
  the knot sequence.
n = l*k + m = dimension of spline(k+m,t).


Nemo Release 3.1 knots (3) August 28, 2026
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