中文摘要：

该文改进衡量参数优劣的标准,利用分段线性变换,得到了一种新的最优参数化方法.以分段节点作为自由变量,以曲线参数速率的变化率为目标函数进行优化.通过求解一个方程组,得到了所求节点的显式解.与以往利用M（o）bius变换的最优参数化不同,该文得到的曲线仍为Bézier曲线.最优参数化后的参数接近弧长参数,文末的数值实例验证了本算法的有效性.

英文摘要：

Based on the improved criteria for parameterization, a new optimal parameterization with the help of the piecewise linear transformation is obtained. By taking the nodes as the free variables and the variation of the parameter speed as the objective function, the simple analytical solution of a system of equations is presented. The new expressions of the original curve are a series of Brzier curves, which are different from the expression by the Mrbius transformation. The new optimal parameterization is close to the arc-length parameterization, which is displayed by the numerical example.