int2Lfd | R Documentation |
This function turns an integer specifying an order of a derivative into the equivalent linear differential operator object. It is also useful for checking that an object is of the "Lfd" class.
int2Lfd(m=0)
m |
either a nonnegative integer or a linear differential operator object. |
Smoothing is achieved by penalizing the integral of the square of the
derivative of order m
over rangeval
:
m = 0 penalizes the squared difference from 0 of the function
1 = penalize the square of the slope or velocity
2 = penalize the squared acceleration
3 = penalize the squared rate of change of acceleration
4 = penalize the squared curvature of acceleration?
a linear differential operator object of the "Lfd" class that is equivalent to the integer argument.
# Lfd to penalize the squared acceleration
# typical for smoothing a cubic spline (order 4)
int2Lfd(2)
# Lfd to penalize the curvature of acceleration
# used with splines of order 6
# when it is desired to study velocity and acceleration
int2Lfd(4)
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