螺旋曲面接触式测量的数据处理

接触测量仪的测量头与被测表面接触，可以比较精确地给出测量头球心座标。测头球心座标所形成的曲面是被测曲面的等距曲面，但是微分几何中还没有等距曲面的一般理论。通过测头球心座标求接触点，只能借助于近似算法，现在还没有通用于任何曲面测量的高精度软件。螺旋曲面是特殊的曲面，已证明其等距贡面也是螺旋面，而且具有相同螺旋参数。根据这个结论可以给出螺旋面测量的精确算法，本文作者通过实例验证了该算法，即用三座标量仪

Data Processing of Contact Measurement for Screw Surfaces

In the 3-coordinate measuring machine, the center-coordinates of the probe can be determined accurately up to the machine precision. These data construct an equi-distant surface of the surface measured. But there is no general theory for equi-distant surfaces in geometric differential. Thus data processing for free surfaces can be only tackled via numerical approximation and general purpose surface measurement software is in want of. This is a problem under intensive study for scores of years.It is expounded recently, that the equi-distant surface of a screw is also a screw surface with the same screw parameter. Based on this theorem, an accurate algorithm is deduced. This algorithm is demonstrated by data processing in measuring a high-precision helical spur gear. The implementation of this procedure is detailed.