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- 2016
基于LM方法的大姿态角影像空间后方交会
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Abstract:
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
| [1] | 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) |
| [2] | Levenberg K. A Method for the Solution of Certain Non-linear Problems in Least Squares[J]. Quart Appl. Math, 1944,2(2):164-168 |
| [3] | 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) |
| [4] | 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) |
| [5] | 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) |
| [6] | 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) |
| [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 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) |
| [11] | Marquardt D. An Algorithm for the Least-squares Estimation of Nonlinear Parameters[J]. SIAM J. Appl. Math, 1963,11(2):431-441 |
| [12] | 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) |
| [13] | 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 |
