对偶四元数遥感影像区域网平差精度分析  

Accuracy Analysis of Region Adjustment of Remote Sensing Images Based on Dual Quaternion

作　　者：肖晖[1,2] 费利佳 

机构地区：[1]安徽大学资源与环境工程学院,合肥230601 [2]南京晓庄学院生物化工与环境工程学院,南京211171 [3]南京航空航天大学航天学院,南京210016

出　　处：《应用科学学报》2015年第1期79-86,共8页Journal of Applied Sciences

基　　金：国家自然科学基金(No.41101441)资助

摘　　要：根据几何代数理论,提出对偶四元数区域网平差方法,采用对偶四元数描述区域网像坐标系间的旋转和平移,对严格共线条件方程进行线性化,按照带有约束条件的间接平差进行迭代解算.对偶四元数区域网平差模型法方程式的结构完全类似于传统方法,所需计算机内存单位由于边宽的增加而略有增加.实验结果表明,对偶四元数区域网平差在影像的4个定点与中心布置控制点,能达到较高的测量精度.According to the geometric algebra theory, a bundle adjustment method based on dual quaternion is presented. The method uses dual quaternion to describe rotation and translation of regional photo coordinates, and can linearize a strict collinearity equation. Constraint parameter adjustment is iteratively computed. The structure of normal equation in region adjustment based on dual quaternion is similar to that of traditional methods, with the required memory slightly increased with the increasing margins. The results show that, by arranging control points in four angle points and central point, the dual quaternion-based region adjustment can achieve relatively high measuring accuracy.

关 键 词：摄影测量 区域网平差 几何代数 间接平差 法方程式 

分 类 号：P23[天文地球—摄影测量与遥感]