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| 引用本文： | 王力,李豪,姜卫平.һ�ֻ�����Ԫ������ά��ת�����ģ��[J].大地测量与地球动力学,2015,35(2):243-247. |
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| 作者姓名： | 王力 李豪 姜卫平 |
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| 作者单位： | 武汉大学卫星导航定位技术研究中心， 武汉市珞瑜路129号， 430079 |
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| 基金项目： | 国家863计划(2012AA12A209)|国家自然科学基金(41374033) |
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| 摘 要： | ???????????????????????????????????????????????????????????ü????伸???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????
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| 关 键 词： | ????? ????????? ???? |
| 收稿时间： | 2014-07-07 |
A Simplified Model of Quaternion-based Three-Dimensional Datum Transformation |
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| WANG Li,LI Hao,JIANG Weiping.A Simplified Model of Quaternion-based Three-Dimensional Datum Transformation[J].Journal of Geodesy and Geodynamics,2015,35(2):243-247. |
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| Authors: | WANG Li LI Hao JIANG Weiping |
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| Institution: | GNSS Research Center, Wuhan University, 129 Luoyu Road, Wuhan 430079, China |
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| Abstract: | In this paper, to solve the seven-parameter model of the three-dimensional datum transformation, quaternion is introduced to construct rotation matrix. The spatial rotation axis, rotation direction and angle of quaternion are determined by using simple spatial geometric principles, resulting in more accurate initial rotation matrix. The matrix coupled with a more accurate approximation of the scale parameter and the translation parameters is substituted into the linearized observation equations, which can quickly and accurately determine the exact value of each parameter and then improve the reliability and stability of solution. Meanwhile Simulation results show that the algorithm is applicable to three-dimensional coordinate conversion about any angle. |
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| Keywords: | quaternion three-dimensional datum transformation large rotation angle |
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