In this paper, a three-dimensional (3D) reconstruction algorithm is proposed for space targets with multistatic inverse synthetic aperture radar (ISAR) systems. In the proposed algorithm, target 3D geometry can be obtained by solving the projection equations between the target 3D geometry and ISAR images. Specially, it is no need to perform cross-range scaling. To obtain the projection equations, the algorithm consists of two steps: establishing projection matrix and associating scattering centers. Firstly, observation angles of sensor can be estimated by kinematic formulas and coordinate systems transformation. Using azimuth and elevation angles of sensor relative to target, the projection matrix from target 3D geometry to ISAR images is established. Secondly, an association cost function based on projective transform and epipolar geometry is developed. As the cost function is an assignment with 0–1 linear programming, the Jonker-Volgenant algorithm is used to build a one-to-one correspondence between two scattering centers. Numerical results show the efficiency of the proposed algorithm.

本文针对具有多静态逆合成孔径雷达（ISAR）系统的空间目标，提出了一种三维（3D）重建算法。在提出的算法中，可以通过求解目标3D几何形状与ISAR图像之间的投影方程来获得目标3D几何形状。特别地，不需要执行跨范围缩放。为了获得投影方程，该算法包括两个步骤：建立投影矩阵和关联散射中心。首先，可以通过运动学公式和坐标系变换来估计传感器的观察角度。使用传感器相对于目标的方位角和仰角，建立了从目标3D几何形状到ISAR图像的投影矩阵。其次，建立了基于投影变换和对极几何的关联成本函数。由于成本函数是使用0-1线性规划分配的，因此，Jonker-Volgenant算法用于在两个散射中心之间建立一一对应的关系。数值结果表明了该算法的有效性。