2真实齿面对应点的求解算法

针对真实齿面数学模型为自由型参数化隐式递推公式，不易于用一般方法进行迭代求解的问题，提出了将求2齿面对应点问题转换成求直线与齿面交点的王角形判断法，并进一步提出运用三角形减半法确定真实齿面精确对应点的迭代初值，得到了一种稳定、可靠、精度高且运算速度较快的求解算法。

Solving Algorithms of Corresponding Point of Two Real Tooth Surface

The mathematical model of real tooth surface, which is recursion formula of freeform parameterization, can't iterate with general method. The algorithm of trianglejudgement inverting the corresponding point of two tooth surfaces to the intersect ofstraight-line on surface is suggested. The algorithm of triangle reducing part giving theiterating initial value of the accurate corresponding point on real tooth surface is put forwardto achieve a stable, reliable, precise and efficient method.