对偶四元数GPS辅助光束法区域网平差

GPS-supported bundle block adjustment based on dual quaternion

针对GPS辅助光束法区域网平差中线元素和角元素分而治之引起转动和平移的耦合误差问题,该文提出了一种基于对偶四元数的GPS辅助光束法区域网平差方法。利用对偶四元数统一描述像空间坐标系与WGS84坐标系之间的旋转和平移关系,建立对偶四元数GPS辅助光束法区域网平差模型,实现了区域网影像外方位元素以及待定点WGS84坐标的平差解算。实验结果表明,本算法具有对迭代初值无依赖性、迭代次数少和精度高的优点,为姿态稳定较差的轻小无人机影像的GPS辅助光束法区域网平差提供了一种新的思路。

To solve coupling error of rotating and moving which is created by computing separately line elements and angle elements, a new GPS-supported bundle adjustment method based on dual quaternion was proposed. Using dual quaternion to integrally represent transform relationship between the image space coordinate system and WGS84 coordinate system, the mathematic model of GPS-supported bundle adjustment was established; then derived error equation formula to solve the exterior orientation elements of each image and the ground coordinates of undetermined point. The experimental results showed that the precision of dual quaternion GPS-supported bundle adjustment method was equal to the conventional GPS- supported method based on Euler angle, which provided a new idea for aerial triangulation of light little UAV aerial images.