Application of Total Least Squares Method to Measurement of Gun Barrel Direction

A method of fitting spatial line by applying total least squares method is presented, which can achieve multipoint measurement of gun barrel direction. Firstly, observe the multipoint of gun barrel by the double theodolite. Secondly, calculate space coordinates of these marker points, and do total least squares fitting with the object of the sum of squares of the distance from all measurement points to space line is minimal. Finally, figure out the azimuth angle and height angle of the gun tube direction of the direction vector of spatial linear. The simulation results come from Monte Carlo method show that the direction accuracy improves about 1% with the new method compared with the traditional method. The results show that the new method is feasible and available.