The Rational Polynomial Curves

Conic section curves are in a mutual central projection relationship*). Consequently, arbitrary conic section curves can be derived by performing a suitable affine transformation and then a central projection on one conic section curve. For the initial conic section curve, let us use the simplest one to express, the parabola shown in Fig. 7.1: $$ \left[ {\begin{array}{*{20}{c}} x&y&1 \end{array}} \right] = \left[ {\begin{array}{*{20}{c}} {{t^2}}&t&1 \end{array}} \right]. $$Fig. 7.1The parabola x=y₂