对偶四元数近景影像空中三角测量法

doi:10.11947/j.AGCS.2015.20130533

测绘学报 ›› 2015, Vol. 44 ›› Issue (5): 503-509.doi: 10.11947/j.AGCS.2015.20130533

对偶四元数近景影像空中三角测量法

盛庆红, 柳建锋, 虞梦昕, 王惠南

南京航空航天大学, 江苏南京 210016

收稿日期:2013-12-02 修回日期:2014-09-14 出版日期:2015-05-20 发布日期:2015-05-27
作者简介:盛庆红(1978—),女,博士,副教授,研究方向为数字摄影测量、遥感影像几何处理。E-mail: qhsheng@nuaa.edu.cn
基金资助:
国家自然科学基金(41101441;60974107;41471381);南京航空航天大学研究生创新基地开放基金(kfjj130133);国家级大学生创新训练计划(201310287060)

Aerial Triangulation Close-range Images with Dual Quaternion

SHENG Qinghong, LIU Jianfeng, YU Mengxin, WANG Huinan

Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China

Received:2013-12-02 Revised:2014-09-14 Online:2015-05-20 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)

摘要/Abstract

摘要： 提出了一种对偶四元数近景影像空中三角测量方法,利用对偶四元数统一表示光线束在空间中的螺旋运动,近景区域网内所有光线束的角元素用对偶四元数的实部表示,所有线元素以对偶四元数的实部和对偶部分共同表示,最终建立对偶四元数空中三角测量平差模型,实现内、外方位元素和模型点物方坐标的解算。选用真实影像和大姿态角模拟影像开展了空中三角测量试验,试验结果证明对偶四元数近景影像空中三角测量方法能获得较高的精度。

关键词: 几何定位, 近景摄影测量, 空中三角测量, 对偶四元数

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.

Key words: geo-positioning, close range photogrammetry, aerial triangulation, dual quaternion

中图分类号:

P234.1

盛庆红, 柳建锋, 虞梦昕, 王惠南. 对偶四元数近景影像空中三角测量法[J]. 测绘学报, 2015, 44(5): 503-509.

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.

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对偶四元数近景影像空中三角测量法

Aerial Triangulation Close-range Images with Dual Quaternion

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