Based on the geometry invariance of the rigid target during its 3D motion

the targets unknown 3D shape and motion can be reconstructed using scatterers of the 1D range extracted from the range image sequence of the single-antenna radar. For this geometric reconstruction of 1D-to-3D

we propose a 3D reconstruction algorithm for the shape and motion of the radar rigid target. The reconstruction can be realized using the complex 1D range data of the scatterers and the bundle adjustment for the target's reconstructed parameters is achieved with the nonlinear optimization utilized. Furthermore

since the targets translation model is introduced in the algorithm

the translation parameters can be solved together with the rotation. Thus

the impact for the reconstructed accuracy caused by the error of the range alignment processing is weakened. The simulations verify that

due to the remarkable improvement of the scatterers quantity and the richness of the target's 3D motion in the reconstructed data and

specially

the successful application of the optimization

the robustness of the algorithm is enhanced effectively.