Abstract
We describe an approximation method for planar curves that significantly improves the standard rate obtained by local Taylor approximations. The method exploits the freedom in the choice of the parametrization and achieves the order 4 m / 3 4m/3 where m m is the degree of the approximating polynomial parametrization. Moreover, we show for a particular set of curves that the optimal rate 2 m 2m is possible.
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