Rational Bézier and B-Spline Curves
Rational B-spline curves1 have become the standard curve and surface description in the field of CAD and graphics. The use of rational curves in CAGD may be traced to Coons , , and Forrest . By now, there are books on NURBS: Fiorot and Jeannin , Farin , Piegl and Tiller .
13.1 Rational Bézier Curves
In Chapter 12, we obtained a conic section in as the projection of a parabola (a quadratic) in . Conic sections may be expressed as rational quadratic (Bézier) curves, and their generalization ...