In the following example you can see the given disturbed curve from
figure 5 and the results of the two methods. Removing
the inner knots in order to get a continuity leads to a smooth curve in
a very short time. Using the new functional, the result in not of the same
quality as in the case before and also the time is much higher, although the
resulting curve is much better than the given one.
Figure: Fairing the curve from figure 5(top)
by removing knots (max_error=, 0.58 sec.) and
with the new functional (max_error=, 2.3 sec.).