将对偶四元数理论引入航空影像的空间后方交会求解中,提出了一种新颖的对偶四元数单片空间后方交会算法。该算法采用对偶四元数描述坐标系之间的旋转和平移,然后对严格的共线条件方程进行线性化,并按照带有约束条件的间接平差进行迭代解算。实验结果证明,该算法的可靠性和稳定性不依赖于影像位置和姿态的初始值,并具有适用于不同的倾角、航高、遥感平台、迭代次数少和定向精度高等优点。

The theory of dual quaternion is introduced into the field of space resection.A new algorithm which uses dual quaternions to describe the position and attitude of space resection is presented.First,dual quaternions are used to describe the rotation and translation between different coordinate systems,then the strict collinear equation is linearized and calculated using an iterative method according to indirect adjustment with constraints.Our result show that the stability and reliability of the method are independent from the images initial position and orientation.Furthermore,the algorithm uses less time for the solution and can be applied to different inclinations,different heights,different sensing platforms,with a higher precision in location.