对偶四元数遥感影像区域网平差精度分析

doi:10.3969/j.issn.0255-8297.2015.01.009

应用科学学报 ›› 2015, Vol. 33 ›› Issue (1): 79-86.doi: 10.3969/j.issn.0255-8297.2015.01.009

对偶四元数遥感影像区域网平差精度分析

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

收稿日期:2014-05-26 修回日期:2014-10-21 出版日期:2015-01-30 发布日期:2014-10-30
作者简介:肖晖，博士，讲师，研究方向：遥感影像几何定位，E-mail: xiaohui257@qq.com
基金资助:
国家自然科学基金(No.41101441)

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

1. College of Resource and Environmental Engineering, Anhui University, Hefei 230601, China
2. School of Biochemical and Environmental Engineering, Nanjing Xiaozhuang University, Nanjing 211171, China
3. College of Astronautics, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2014-05-26 Revised:2014-10-21 Online:2015-01-30 Published:2014-10-30

摘要/Abstract

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.

关键词: 摄影测量, 区域网平差, 几何代数, 间接平差, 法方程式

Abstract: 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.

Key words: photogrammetry, region adjustment, geometric algebra, parameter adjustment, normal equation

中图分类号:

肖晖1,2，费利佳3. 对偶四元数遥感影像区域网平差精度分析[J]. 应用科学学报, 2015, 33(1): 79-86.

XIAO Hui1,2, FEI Li-jia3. Accuracy Analysis of Region Adjustment of Remote Sensing Images Based on Dual Quaternion[J]. Journal of Applied Sciences, 2015, 33(1): 79-86.

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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

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