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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 [124], [126], and Forrest [240]. By now, there are books on NURBS: Fiorot and Jeannin [233], Farin [202], Piegl and Tiller [482].

13.1 Rational Bézier Curves

In Chapter 12, we obtained a conic section in image as the projection of a parabola (a quadratic) in image. Conic sections may be expressed as rational quadratic (Bézier) curves, and their generalization ...

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