基于LM方法的大姿态角影像空间后方交会

郭忠磊; 翟京生; 邓凯亮

doi:10.13203/j.whugis20130706

基于LM方法的大姿态角影像空间后方交会

1.
大连舰艇学院海洋测绘系, 辽宁大连, 116018;
2.
天津海洋测绘研究所, 天津, 300061

基金项目: 国家自然科学基金(41404001)。

详细信息

作者简介:
郭忠磊,博士生,主要从事海岛礁地形测量技术研究。15022463971@163.com

中图分类号: P236
计量
- 文章访问数: 1220
- HTML全文浏览量: 51
- PDF下载量: 423
出版历程
- 收稿日期: 2014-11-24
- 发布日期: 2016-04-04

Space Resection of Big Attitude Image Based on Levenberg-Marquardt Method

1.
Department of Hydrography and Cartography, Dalian Naval Academy, Dalian 116018, China;
2.
Naval Institute of Hydrographic Surveying and Charting, Tianjin 300061, China

Funds: The National Natural Science Foundation of China, No.41404001.

摘要

摘要: 针对低空遥感影像存在大姿态角度的特点,提出采用Levenberg-Marquardt(LM)方法实现影像空间后方交会模型的收敛解算。基于仿真数据对该方法进行了验证,并与基于单位四元数的无初值依赖算法比较。结果表明,LM方法具有与单位四元数法相当的可靠性;通过选择合适的阻尼因子,LM法迭代效率更高。
- 低空遥感 /
- 空间后方交会 /
- 单位四元数 /
- Levenberg-Marquardt法
Abstract: Determining the exterior orientation parameters of photogrammetry image is an important task, and a lot of classic methods are in use. In the case of large attitude angle in low-altitude remote sensing image, the model of space resection algorithm based on unit quaternion has been used in many experimentations. In this paper, the stable Levenberg-Marquardt method(LM) algorithm is employed to solve the space resection problem of large attitude angle photogrammetry image. The feasibility of the proposed method is validated based on simulation data, Meanwhile, the comparing experimentations between LM algorithm andunit quaternion method show that the LM method is less sensitive to the initialization of exterior orientation parameters. The experiment also shows that the reliability of LM method is equivalent to unit quaternion method. Furthermore, if the damped factor is set suitable, LM method will be more efficient and reliable.
- low-altitude remote sensing /
- space resection /
- unit quaternions /
- Levenberg-Marquardt method

HTML全文

参考文献(13)

[1]	Chen Yi, Lu Yu, Zheng B O. Application of Total Least Squares to Space Resection[J]. Geomatics and Information Science of Wuhan University, 2008, 33(12):1271-1274(陈义, 陆珏, 郑波. 总体最小二乘方法在空间后方交会中的应用[J]. 武汉大学学报·信息科学版,2008,33(12):1271-1274)
[2]	Jiang Gangwu, Jiang Ting, Wang Yong, et al. Space Resection Independent of Initial Value Based on Unit Quaternions[J]. Acta Geodaetica et Cartographica Sinica, 2007,36(2):169-175(江刚武,姜挺,王勇,等.基于单位四元数的无初值依赖空间后方交会[J].测绘学报,2007,36(2):169-175)
[3]	Yan Li, Nie Qian, Zhao Zhan. Space Resection of Line Scanner CCD Image Based on the Description of Quaternions[J]. Geomatics and Information Science of Wuhan University, 2010,35(2):201-204(闫利, 聂倩, 赵展. 利用单位四元数描述线阵CCD影像的空间后方交会[J]. 武汉大学学报·信息科学版,2010,35(2):201-204)
[4]	Zhou Yongjun, Deng Caihua. A New Method for Relative Orientation with Hybrid Genetic Algorithm and Unit Quaternion[J]. Geomatics and Information Science of Wuhan University, 2011,36(6):670-673(周拥军,邓才华. 利用HGA和单位四元数的相对定向解法[J]. 武汉大学学报·信息科学版, 2011, 36(6):670-673)
[5]	Manolis I, Lourakis A, Antonis A. Argyros Sba:A Software Package for Generic Sparse Bundle Adjustment[J]. ACM Transactions on Mathematical Software, 2009,36(1):1-30
[6]	Marquardt D. An Algorithm for the Least-squares Estimation of Nonlinear Parameters[J]. SIAM J. Appl. Math, 1963,11(2):431-441
[7]	Kelley C T. Iterative Methods for Optimization[M]. Philadelphia:SIAM Society for Industrial and Applied Mathematics,1999:324-335
[8]	Hartley R, Zisserman A. Multiple View Geometry in Computer Vision[M]. 1st ed. Cambridge:Cambridge University Press, 2000
[9]	Madsen K, Nielsen H, Tingleff O. Methods for Non-linear Least Squares Problems[OL]. http://www.imm.dtu.dk/pubdb/views/edoc_download.php/3215/pdf/imm3215.pdf,2004
[10]	Wang Zhizhuo. The Principles of Photogrammetry[M]. Wuhan:Wuhan Uniersity Press,2007(王之卓. 摄影测量原理[M].武汉:武汉大学出版社,2007)
[11]	Tang Limin. Research on the Ill-posed and Solving Methods of Nonlinear Least Squares Problem[D].Changsha:Central South University,2011(唐利民.非线性最小二乘问题的不适定性及算法研究[D].长沙:中南大学,2011)
[12]	Levenberg K. A Method for the Solution of Certain Non-linear Problems in Least Squares[J]. Quart Appl. Math, 1944,2(2):164-168
[13]	Wang Peijun, Xu Yaming. The Photogrammetry[M].Wuhan:Wuhan Uniersity Press,2007(王佩军, 徐亚明. 摄影测量学[M].武汉:武汉大学出版社,2007)