基于三点重合算法的飞机活动面转角测量研究

The Coincide Algorithm with Three Points Research of the Measurement Airplane Surface Rotation Angle

摘要:

针对在飞机活动面转角的拍摄方法或激光跟踪仪方法中，对其样点数据处理算法进行研究，提出了一种可得到较高精度算法，即选取三点建立刚性平面，通过将平面在前后运动的位置进行分步重合，从这个重合过程中的旋转矩阵可计算出转动角度。通过对选取点与误差关系进行分析，提出了一种选取最优三点的方法以降低误差。最后，设计精度验证实验。实验结果表明，三点重合算法的误差在0.05度内，误差满足飞机活动面的转角测量要求。

Abstract:

Research on the Algorithm of sample points data in the measurement of airplane surface rotation angle by photographic measurement method or laser tracker method, propose a high precise algorithm, that is creating a rigid plane and coinciding the plane’s start position to the end position by steps, uniting the rotation matrix of each step, finally calculate the angle. After analyzing the error of this algorithm, propose a method to select best three points that can reduce the error. At lase, Design a test to validate the precise. The result show that the coincide algorithm with three points has 0.05 degree error. This algorithm with this error meet the demand of airplane surface rotate measurement.