有理曲线的最优参数

Optimal Parameterization of Rational Curves

该文介绍一种对有理曲线重新参数化的方法。此重新参数化的方法是从一个能量极小的准则出发,通过有理线性参数变换,确定曲线的最优参数。通过推导,最优参数是全局存在的,该文对有理2次曲线(圆锥曲线)进行了最优参数的计算,结果表明此方法简单、可行,具有一定的应用价值。

The method of parameterization about rational curve is introduced again in this paper.This method is that according to an optimal parameterization criterion which measures the parametric curves,by way of the parameter transformation and minimal energy,the optimal parameter of parametric curves can be computed.After derivation,the optimal parameter can be found in global.The optimal parameter of the rational quadratic curve(conic section) is calculated in this paper.The result indicates that this method is u...