一个计算曲线重新参数化的软件包—ImUp+

ImUp+:A Software Package for Computing the Reparameterization of Curves

在曲线重新参数化过程中,选择合适的参数方程可以使重新参数化的曲线具有良好的几何性质。通过利用分段Mbius变换逼近最优重新参数变换的方法,设计计算曲线重新参数化的Maple软件包。实验表明,使用该软件包计算曲线的重新参数化,比原参数曲线具有更优良的作图性质,具体表现为当作图点数相同时,重新参数化后的曲线比原曲线更光滑。

Reparameterization of a parametric curve is to compute an appropriate parametrization from the given one such that the new parameterization has better geometric properties. The main idea is to use the piecewise M bius transformation to approximate the optimal parametric transformation. In this paper, a Maple software package named ImUp+ is designed and implemented for reparameterizing a given parametric curve. Experiments show that the obtained reparameterization has a better behavior when used for plotting. In particular, when the number of points is fixed, the plotting generated by the reparameterization computed from the software package is smoother than the original one.