对偶四元数近景影像空中三角测量法

摘要

A new method for the aerial triangulation of close-range images based on dual quaternion is presented.Using dual quaternion to represent the spi ral screw motion of the beam in the space,the real part of dual quaternion represents the angular elements of al l the beams in the close-range area networks, the real part and the dual part of dual quaternion represents the l ine elements corporately.Final ly,an aerial triangulation adjustment model based on dual quaternion is establ ished,and the elements of interior orientation and exterior orientation and the object coordinates of the ground points are calculated.Real images and large attitude angle simulated images are selected to run the experiments of aerial triangula-tion.The experimental results show that the new method for the aerial triangulation of close-range images based on dual quaternion can obtain higher accuracy.%提出了一种对偶四元数近景影像空中三角测量方法，利用对偶四元数统一表示光线束在空间中的螺旋运动，近景区域网内所有光线束的角元素用对偶四元数的实部表示，所有线元素以对偶四元数的实部和对偶部分共同表示，最终建立对偶四元数空中三角测量平差模型，实现内、外方位元素和模型点物方坐标的解算。选用真实影像和大姿态角模拟影像开展了空中三角测量试验，试验结果证明对偶四元数近景影像空中三角测量方法能获得较高的精度。