Dual-quaternion-based iterative algorithm of the three dimensional coordinate transformation

被引：0
作者：
Huaien Zeng
Zhihao Wang
Junfeng Li
Siyang Li
Junjie Wang
Xi Li
机构：
[1] China Three Gorges University,Hubei Key Laboratory of Construction and Management in Hydropower Engineering
[2] China Three Gorges University,National Field Observation and Research Station of Landslides in the Three Gorges Reservoir Area of Yangtze River
[3] China Three Gorges University,College of Civil Engineering & Architecture
[4] Hubei Jiefan Technology Corporation,undefined
来源：
Earth, Planets and Space | / 76卷
关键词：
Quaternion; Dual quaternion; 3D similarity coordinate transformation; Weighted total least squares (WTLS); Dual quaternion algorithm (DQA);
D O I：
暂无
中图分类号：
学科分类号：
摘要：
引用
收藏
相关论文
共 134 条
[1]  
Arun KS(1987)Least-squares fitting of two 3-D point sets IEEE Trans Pattern Anal Mach Intell 9 698-700
[2]  
Huang TS(2018)Increasing numerical efficiency of iterative solution for total least-squares in datum transformations Stud Geophys Geod 62 223-242
[3]  
Blostein SD(2022)A new algorithm for 3D similarity transformation with dual quaternion Arab J Geosci 15 1-9
[4]  
Aydin C(1992)A method for registration of 3-D shapes IEEE Trans Pattern Anal Mach Intell 14 239-256
[5]  
Mercan H(1967)On the possibility of determining the rotation elements of geodetic reference systems on the basis of satellite observations Stud Geophys Geod 11 390-396
[6]  
Uygur SO(2015)On least-squares solution to 3D similarity transformation problem under Gauss-Helmert model J Geod 89 573-576
[7]  
Bektas S(2017)Analytical solution to and error analysis of the quaternion based similarity transformation considering measurement errors in both frames Measurement 110 1-10
[8]  
Besl PJ(2004)A simplified model of three dimensional-datum transformation adapted to big rotation angle Geomat Inf Sci Wuhan Univ 29 1101-1104
[9]  
McKay ND(1873)Preliminary sketch of biquaternions Proc Lond Math Soc 4 381-395
[10]  
Burša M(2002)Use of generalised Procrustes analysis for the photogrammetric block adjustment by independent models ISPRS J Photogramm Remote Sens 56 195-209
12345678910