基于优化的有理Bezier曲线权因子的估计方法

Estimation of Rational Bezier curves based on optimized weights

本文研究了有理Beizier曲线的逼近问题。用有理Bezier曲线来逼近控制多边形,其中权因子是可以调节的。通过调节权因子的大小使得得到的有理Bezier曲线一致逼近控制多边形。得到了一个关于权因子的最优化问题。通过该问题的求解,得到了权因子的计算公式。

The article studies rational Beizier curve approximation problem.Rational Bezier curve with control polygon approach,which weights can be adjusted.By adjusting the size of weights makes Bezier curves by uniform approximation of rational control polygon.Get a power factor of the optimization problem.Through the problem solved by the formula weights.