Issue No.06 - November (1996 vol.16)
DOI Bookmark: http://doi.ieeecomputersociety.org/10.1109/38.544074
It is well known that NURBS curves provide an exact representation of conics. Nevertheless, if this representation is exact on the geometric point of view (that is, the shape), the resulting parametrization is usually bad. For instance, the highest known continuity for a circle represented by a NURBS curve is only C1. This article presents a new reparametrization technique, called zigzag reparametrization, that improves the parametrization of a NURBS curve or surface according to a given criterion. To illustrate the technique, we study here the parametrization of the circle, but the method may be used in many other reparametrization applications.
conics, NURBS, parametrization, reparametrization
Carole Blanc, Christophe Schlick, "Accurate Parametrization of Conics by NURBS", IEEE Computer Graphics and Applications, vol.16, no. 6, pp. 64-71, November 1996, doi:10.1109/38.544074