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Survey Review Volume 50, 2018 - Issue 358
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Original Articles

Representation of the rotation parameter estimation errors in the Helmert transformation model

Q. WangSchool of Environment Science and Spatial Informatics, China University of Mining and Technology, Xuzhou221116, China;State Key Laboratory for Geo-Information Engineering, Xi’an Research Institute of Surveying and Mapping, Xi’an710054, ChinaView further author information
,
G. ChangSchool of Environment Science and Spatial Informatics, China University of Mining and Technology, Xuzhou221116, China;State Key Laboratory for Geo-Information Engineering, Xi’an Research Institute of Surveying and Mapping, Xi’an710054, ChinaCorrespondence[email protected]
View further author information
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T. XuState Key Laboratory for Geo-Information Engineering, Xi’an Research Institute of Surveying and Mapping, Xi’an710054, China;Institute of Space Science, Shandong University, Weihai, Shandong264209, ChinaView further author information
&
Y. ZouSchool of Environment Science and Spatial Informatics, China University of Mining and Technology, Xuzhou221116, China;School of Humanity and Law, Beijing University of Civil Engineering and Architecture, Beijing102616, ChinaView further author information
Pages 69-81 | Received 20 Apr 2016, Accepted 05 Sep 2016, Published online: 30 Sep 2016

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Raobo Li, Xiping Yuan, Shu Gan, Rui Bi, Sha Gao & Weidong Luo. (2024) A novel solution to planar feature-constrained, dual quaternion-based registration method for point clouds. Survey Review 56:394, pages 65-77.
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Süreyya Özgür Uygur, Cuneyt Aydin & Orhan Akyilmaz. (2022) Retrieval of Euler rotation angles from 3D similarity transformation based on quaternions. Journal of Spatial Science 67:2, pages 255-272.
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A. C. Ruffhead. (2021) Equivalence properties of 3D conformal transformations and their application to reverse transformations. Survey Review 53:377, pages 158-168.
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A. C. Ruffhead. (2021) Derivation of rigorously-conformal 7-parameter 3D geodetic datum transformations. Survey Review 53:376, pages 8-15.
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Zhisheng Zhao, Zengke Li & Bin Wang. (2024) A Novel Robust Quaternions-Based Algorithm for 3-D Symmetric Similarity Datum Transformation. IEEE Transactions on Instrumentation and Measurement 73, pages 1-12.
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Yangfei Hou, Hu Wang, Jiexian Wang, Hongyang Ma, Yingying Ren, Pengyuan Li & Yafeng Wang. (2022) Studies and Analysis of Combining BDS-3/GNSS Ultra-Rapid Orbit Products from Different IGS Analysis Centers. Remote Sensing 14:23, pages 6122.
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Huaien Zeng, Junjie Wang, Zhihao Wang, Siyang Li, Haiqing He, Guobin Chang & Ronghua Yang. (2022) Analytical dual quaternion algorithm of the weighted three-dimensional coordinate transformation. Earth, Planets and Space 74:1.
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Xin Jin, Xin Liu, Jinyun Guo, Maosheng Zhou & Kezhi Wu. (2022) A Novel All-Weather Method to Determine Deflection of the Vertical by Combining 3D Laser Tracking Free-Fall and Multi-GNSS Baselines. Remote Sensing 14:17, pages 4156.
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Sebahattin Bektas. (2022) A new algorithm for 3D similarity transformation with dual quaternion. Arabian Journal of Geosciences 15:14.
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Huaien Zeng, Hongwei He, Legeng Chen, Guobin Chang & Haiqing He. (2021) Extended WTLS iterative algorithm of 3D similarity transformation based on Gibbs vector. Acta Geodaetica et Geophysica 57:1, pages 43-61.
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Bin Wang, Jie Yu, Yu Chen, Zhisheng Zhao & Chao Liu. (2022) Efficient and Robust Solution to Universal Symmetric Transformation for 3-D Point Sets. IEEE Transactions on Geoscience and Remote Sensing 60, pages 1-15.
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Lubin Chang, Fangjun Qin & Jiangning Xu. (2022) Strapdown Inertial Navigation System Initial Alignment Based on Group of Double Direct Spatial Isometries. IEEE Sensors Journal 22:1, pages 803-818.
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Süreyya Özgür Uygur, Orhan AkyilmazCüneyt Aydin. (2021) Solution of Nine-Parameter Affine Transformation Based on Quaternions. Journal of Surveying Engineering 147:3.
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Huaien Zeng, Guobin Chang, Haiqing He & Kezhao Li. (2020) WTLS iterative algorithm of 3D similarity coordinate transformation based on Gibbs vectors. Earth, Planets and Space 72:1.
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Siyu Zhang, Guobin Chang, Chao Chen, Laihong Zhang & Ting Zhu. (2020) Attitude determination using gyros and vector measurements aided with adaptive kinematics modeling. Measurement 157, pages 107679.
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Shengquan Li, Bing Ji, Guobin Chang, Peng Lin & Shaofeng Bian. (2019) Helmert transformation solutions combination and update with new measurements. Acta Geodaetica et Geophysica 54:2, pages 181-196.
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Guobin Chang, Peng Lin, Hefang Bian & Jingxiang Gao. (2018) Simultaneous Helmert transformations among multiple frames considering all relevant measurements. Measurement Science and Technology 29:3, pages 035801.
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Guobin Chang, Tianhe Xu, Qianxin Wang, Shubi Zhang & Guoliang Chen. (2017) A generalization of the analytical least-squares solution to the 3D symmetric Helmert coordinate transformation problem with an approximate error analysis. Advances in Space Research 59:10, pages 2600-2610.
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