基于移动最小二乘法的轨迹拟合切线方位角计算

Trajectory Tangent Azimuth Calculation Based on Moving Least Square Fitting

摘要:

基于移动最小二乘法，提出了轨迹切线方位角算法.利用实测数据验证了算法的可行性，并对算法关键参数（紧支系数与权函数）的设置进行了讨论.结果表明：该方法简单易行，适用于形状弯曲较小的轨迹；移动最小二乘法中的紧支系数应满足计算的需求，但不宜过大；权函数能提高拟合精度，但对轨迹切线方位角的精度几乎没有影响.

关键词:方位角;移动最小二乘法;轨迹拟合

Abstract:

Based on moving least squares, an algorithm of trajectory tangent azimuth calculation is presented in this paper. The feasibility of the algorithm is tested by measured data and the setting of key parameters including dilatation parameter and weight function is discussed. The results show: the algorithm is practical and can be applied to small bended trajectory; the value of dilatation parameter should satisfy the requirement of calculation, but it should not be too big; the precision of trajectory fitting can be promoted by weight function but the precision of azimuth will not be affected.

Key words:azimuth; moving least squares; trajectory fitting