Levenberg-Marquardt algorithm based nonlinear optimization of camera calibration for relative measurement

Vision measurement has been applied to spacecraft relative position and attitude measurement. The precision of camer a calibration is one of the key factors affecting the relative position and attitude measurement accuracy. Two steps method is usually used in camera calibration for intrinsic and extrinsic parameters. For nonlinear optimization problem in two steps method, this paper introduces a camera calibration method based on LM algorithm. The intrinsic and extrinsic parameters of linear camera model obtained by DLT is used as its initial value. Then LM algorithm is used to calculate the exact solutions of intrinsic and extrinsic parameters of nonlinear model. The experimental result shows that the method can improve the accuracy of calibration and its speed is fast.