旋转坐标系法提高弹道直线拟合精度

Improving the Accuracy of Straight Line Fitting For Ballistic Trajectory via Coordinate Rotation

弹道测量数据一般在极坐标系下获取,而直线拟合则在直角坐标系下进行,坐标变换导致直角坐标系下各坐标值的误差互相不独立,利用最小二乘方法进行直线拟合,拟合误差将与坐标系的选取直接相关。提出通过旋转坐标系方法,将最小二乘直线拟合的误差最小化。

The trajectory measurement was carried out under the polar coordinates,while the straight line fitting was implemented under the Cartesian coordinates.The nonlinear transformation makes the error of the Cartesian coordinates depend on each other,which makes the classic Least Square method generates unignorable error.In this case,the error was correlated to the setup of the coordinates.In the end,we proposed a new method to minimize the fitting error via coordinate rotation.