中文摘要：

为提高锥齿轮加工精度，提出数字化滚检新方法。首先对三次NURBS曲线进行研究，推导出解NURBS曲线控制顶点的线性方程组。由曲线过渡到曲面，给出一对直齿锥齿轮参数，利用双三次NURBS曲面拟合齿面，并分析重构齿面过程中型值点、节点矢量、边界条件对拟合精度的影响，最后计算出拟合误差，分析可知误差较小，可以用拟合齿面代替真实齿面。该方法为数字化齿轮设计与制造提供便利。

英文摘要：

In order to improve the machining accuracy, a new method of digital roll detection is put forward. Through study of the three times of NURBS curve,the linear equations which is solve the control points of the NURBS curve are derived. When the curve of the NURBS transition to the surface ,a pair of Straight Bevel Gear parameters is given ,it can use NURBS surface fitting tooth face. Analysis the type value points,node vector,boundary conditions affect the tooth surface precision when refactoring the Straight Bevel Gears tooth surface. Finally calculate the tooth surface fitting error, and the error is small. It can draw a conclusion that digital gear tooth surface can Instead of real tooth surface. This method is convenient to the digital design and manufacture of the gear.