Development of an Automatic Measuring System for a Sculptured Surface by Using a Probe to Detect a Normal Vector

这项研究是在1988年和1989年进行的，得出的结果如下：提出了一种基于位置向量和单位法向量的雕刻曲面插值方法，并在此基础上构建了雕刻曲面建模系统。该系统可以很容易地从图纸，物理模型或设计师的形象设计一个雕刻表面。该系统还可以直接将测量系统采集的模型数据用于补片的插值方程中。研制了一种利用球形电阻薄膜检测法向量的探头，并将其安装在数控三坐标测量机上，该测量机具有避免探头与被测模型碰撞的触摸探头和具有控制探头姿态功能的电动探头。还研制了一种将测点的法向数据输入上位机的系统。3 .所开发的测量系统可以利用计算机模型数据生成测量机的运行数据，通过获取探头的法线数据和位置数据，自动测量被测模型上任意点的位置向量和单位法向量。提出了一种利用补片上16个点的位置向量和单位法向量对补片插值形状进行评价的方法。建立了基于该方法的系统，并通过实验验证了该方法的有效性。

This research was carried out in 1988 and 1989, and the results described below are obtained.1. Development of a modeling system of a sculptured surface An interpolation method of a sculptured patch based on position vectors and unit normal vectors was proposed, and a modeling system was constructed on the basis of the method. The system makes it easy to design a sculptured surface from a drawing, a physical model or an image of designer. And also, the system enables one to directly use model data gathered by measuring system in the interpolation equation of a patch.2. Development of a measuring system of an unit normal vector A probe to detect a normal vector by using spherical thin film of resistance was developed and installed in a CNC coordinate measuring machine with touch probe head having a function to avoid a collision between the probe and a measured model and a motorized probe head having a function to control an attitude of the probe. A system to feed the normal data of a measured point into a host computer was also developed.3. Development of a measuring system of a sculptured surface The developed measuring system can generate running data of a measuring machine by using a computer model data and automatically measure a position vector and an unit normal vector at any point on the measured model by obtaining the normal data and position data of the probe.4. Development of an evaluation system of a sculptured surface An evaluation method of an interpolated shape of a sculptured patch by using position vectors and unit normal vectors of 16 points on a patch was proposed. The system based on the method was constructed and the efficiency of the method was recognized by an experiment.