Aerial Triangulation Close-range Images with Dual Quaternion

  • SHENG Qinghong ,
  • LIU Jianfeng ,
  • YU Mengxin ,
  • WANG Huinan
Expand
  • Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received date: 2013-12-02

  Revised date: 2014-09-14

  Online published: 2015-05-27

Supported by

The National Natural Science Foundation of China(Nos.41101441;60974107;41471381);Foundation of Graduate Innovation Center in NUAA(No.kfjj130133);National Training Programs of Innovation for Undergraduates (No.201310287060)

Abstract

A new method for the aerial triangulation of close-range images based on dual quaternion is presented. Using dual quaternion to represent the spiral screw motion of the beam in the space, the real part of dual quaternion represents the angular elements of all the beams in the close-range area networks, the real part and the dual part of dual quaternion represents the line elements corporately. Finally, an aerial triangulation adjustment model based on dual quaternion is established, and the elements of interior orientation and exterior orientation and the object coordinates of the ground points are calculated. Real images and large attitude angle simulated images are selected to run the experiments of aerial triangulation. The experimental results show that the new method for the aerial triangulation of close-range images based on dual quaternion can obtain higher accuracy.

Cite this article

SHENG Qinghong , LIU Jianfeng , YU Mengxin , WANG Huinan . Aerial Triangulation Close-range Images with Dual Quaternion[J]. Acta Geodaetica et Cartographica Sinica, 2015 , 44(5) : 503 -509 . DOI: 10.11947/j.AGCS.2015.20130533

References

[1] XIE Yilin, YAO Lianbi, JI Huili. Approach of Sea Piling Positioning Based on Close-range Photogrammetry[J]. Acta Geodaetica et Cartographica Sinica, 2010,39(3): 238-244. (谢义林, 姚连璧, 季惠丽. 基于近景摄影测量的海上打桩定位方法研究[J]. 测绘学报, 2010,39(3): 238-244.)
[2] JIA Shengju, YU Jingtao. Application of Digital Close-range Photogrammetry to Inspection of Machine Parts[J]. Acta Geodaetica et Cartographica Sinica, 2002,31:61-65. (贾盛举, 于晶涛. 数字近景摄影测量在工业检测中的应用[J]. 测绘学报, 2002,31:61-65.)
[3] JI Zheng. Research on Automation Technique for Close-range Object's 3D Reconstruction[D]. Wuhan:Wuhan University, 2007. (季铮. 近景目标三维重建自动化关键技术研究[D].武汉:武汉大学,2007.)
[4] JI Shunping, SHI Yun. Image Matching and Bundle Adjustment Using Vehicle-based Panoramic Camera[J]. Acta Geodaetica et Cartographica Sinica, 2013,41(1):94-101. (季顺平, 史云. 车载全景相机的影像匹配和光束法平差[J]. 测绘学报, 2013,41(1):94-101.)
[5] ZHANG Yongjun, ZHANG Zuxun, ZHANG Jianqing. Camera Calibration Using 2D_DLT and Bundle Adjustment with Planar Scenes[J]. Geomatics and Information Science of Wuhan University, 2002,27(6):566-571. (张永军, 张祖勋, 张剑清. 利用二维DLT及光束法平差进行数字摄像机标定[J].武汉大学学报:信息科学版, 2002,27(6):566-571.)
[6] KE Tao, ZHANG Zuxun, ZHANG Jianqing. Panning and Multi-baseline Digital Close-range Photogrammetry[J]. Geomatics and Information Science of Wuhan University, 2009,34(1):44-51.(柯涛, 张祖勋, 张剑清. 旋转多基线数字近景摄影测量[J]. 武汉大学学报:信息科学版, 2009,34(1):44-51.)
[7] JIANG Gangwu, JIANG Ting, DING Jing, et al. Principle and Method of Space Resection Using Orientation Matrix[J]. Journal of Geomatics Science and Technology,2009,26(1):15-19.(江刚武,姜挺,丁静,等.直接利用旋转矩阵进行空间后方交会的原理和方法[J].测绘科学技术学报, 2009,26(1):15-19.)
[8] CLITFORD W. Preliminary Sketch of Biquaternions[J].Proceedings of the London Mathematical Society,1871(S1-4):381-395.
[9] BI Q Z, WANG Y H, ZHU L M, et al. An Algorithm to Generate Compact Dual NURBS Tool Path with Equal Distance 5-axis NC Matching[J]. Intelligent Robotics and Applications, 2010,64(25):553-564.
[10] CHIANG Y T, CHUNG Y H. Computing Location and Orientation from 2-D Line Correspondence Using Dual Quaternion[J].International Journal of Industrial Mechatronics and Automation,2010,10(6):303-306.
[11] DANIILIDIS K. Hand-eye Calibration Using Dual Quaternions[J]. International Journal of Robotics Research, 1999,18:286-298.
[12] STUDY E. Geometrie der Dynamen[M]. Leipzig: Nabu Press,1901.
[13] JI Ting, SHENG Qinghong, WANG Huinan, et al. Dual Quaternion of Space Resection with Single-image[J]. Journal of Image and Graphics, 2012,4(17):494-503. (姬亭,盛庆红,王惠南,等.对偶四元数单片空间后方交会算法[J].中国图象图形学报, 2012,4(17):494-503.)
[14] SHENG Qinghong, JI Ting, LIU Weiwei, et al. Geo-positioning Line-array CCD Images with Dual Quaternion[J]. Journal of Image and Graphics, 2012,10(17):1319-1326. (盛庆红,姬亭,刘微微,等.对偶四元数线阵遥感影像几何定位[J]. 中国图象图形学报, 2012,10(17): 1319-1326.)
[15] GONG Hui, JIANG Ting, JIANG Gangwu, et al. Bundle Block Adjustment of Aerial Imagery Based on Unit Dual Quaternion[J]. Geomatics and Information Science of Wuhan University, 2012,2(37):154-159.(龚辉,姜挺,江刚武,等.利用单位对偶四元数进行航空影像区域网平差解算[J]. 武汉大学学报:信息科学版, 2012,2(37):154-159.)
[16] JIANG Wensong, ZHANG Qingling, DAI Yongshu. Effects of Atmospheric Pressure on the Interior Orientation Elements about Aerial Survey Camera[J]. Acta Geodaetica et Cartographica Sinica, 1993, 22(1): 51-55.(蒋文松, 张庆令, 戴勇书. 环境压力对相机内方位元素的影响[J]. 测绘学报, 1993,22(1):51-55.)
[17] ROONEY J. A Comparison of Representation of General Spatial Screw Displacement[J]. Environment and Planning B,1978,5:45-88.
[18] AKYAR B. Dual Quaternions in Spatial Kinematics in an Algebraic Sense[J]. Turkish Journal of Mathematics, 2008, 32:373-391.
[19] BI Q Z, WANG Y H, ZHU L M, et al.Intelligent Robotics and Applications[M]. Heidelberg:Springer, 2010: 553-564.
[20] GONG Hui, JIANG Ting, JIANG Gangwu, et al. A Globally Convergent Algorithm of Space Resection Based on Quaternion[J]. Acta Geodaetica et Cartographica Sinica, 2011,40(5):639-645,654. (龚辉,姜挺,江刚武,等.一种基于四元数的空间后方交会全局收敛算法[J]. 测绘学报, 2011,40(5):639-645,654.)
[21] GONG Hui, JIANG Ting, JIANG Gangwu, et al. Solution of Exterior Orientation Parameters for High-resolution Satellite Imagery Based on Quaternion Differential Equation[J]. Acta Geodaetica et Cartographica Sinica, 2012,41(3):409-415. (龚辉, 姜挺, 江刚武,等.四元数微分方程的高分辨率卫星遥感影像外方位元素求解[J]. 测绘学报, 2012,41(3):409-415.)
[22] LI Deren, JIN Weixian, YOU Jianshan, et al. Basic Photogrammetry[M]. Beijing: Surveying and Mapping Press, 1992. (李德仁,金为铣, 尤兼善,等.基础摄影测量学[M].北京:测绘出版社,1992.)
[23] YU Zongtao, YU Zhenglin. Survey Adjustment[M]. Wuhan: Wuhan Technical University of Surveying and Mapping Press,1990.(於宗涛,于正林.测量平差[M].武汉:武汉测量科技大学出版社,1990.)
[24] JI Ting.Research of Geo-positioning High Resolution Satellite Imagery Based on Dual Quaternion[D].Nanjing:Nanjing University of Aeronautics and Astronautics,2012.(姬亭.基于对偶四元数的高分辨率卫星遥感影像几何定位研究[D].南京:南京航空航天大学,2012.)
Outlines

/