REPARAMETRIZATION OF NURBS CURVES

This paper is essentially in two parts. In the first, we consider the reparametrization problem on a single interval, and in the second part we extend this result to deal with adaptive piecewise reparametrization. In the next section we consider some essential motivations that led us to consider this topic. In section 3 a formulation of arc length reparametrization is given; while in section 4 we introduce the concept of approximate reparametrization. Reparametrization on a single interval is considered in section 5, studying the particular reparametrization function used in this paper and the numerical method applied to compute it. In order to establish the quality of the proposed reparametrization method, we present two evaluation parameters in section 6, and in section 7 we report the results obtained on several test curves. The second part of the paper is introduced by a description of a C