Abstract:

Asynchronous imaging of dual cameras usually deteriorates the estimation of ballistic trajectory. To improve the performance of the estimation, a method for reconstructing missile trajectory and estimating missile course based on principal component analysis (PCA) is proposed. Firstly, the principle of missile trajectory reconstruction and course estimation based on PCA is derived under the background of binary observation on geosynchronous orbit. It is proved that the PCA transformed image trajectory of target is exactly the projection of the PCA transformed 3D trajectory. Then, the algorithm for estimating the missile course and trajectory through the PCA transformed image trajectory is proposed, and the reconstruction experiments are used to verify the proposed PCA method’s feasibility and availability for 3D reconstruction and course estimation of missile trajectory, Compared with the traditional stereo vision based method, the PCA method has higher trajectory reconstruction accuracy and smaller course estimation error within a certain range of camera calibration error.

Key words: 3D reconstruction; , Missile course evaluation; , Principal component analysis; , Missile trajectory