Reparametrization of NURBS Curves

In geometric design, it is often useful to be able to give an arc length reparametrization for NURBS curves, that keeps the curve a NURBS too. Since parametric rational curves, except for straight lines, cannot be parametrized by arc length, we developed a numerical method of approximating the arc length parametrization function. In this way it was possible to obtain a good parametrization of a NURBS curve with respect to arc length. Numerical results show a good behaviour of the proposed method on several test curves.