Comparison of Calculation Methods of Several Coordinate Transformation
School of Geography Spatial Information, Information Engineering University, 62 Kexue Road, Zhengzhou 450001,China
Abstract The least square configuration model is analyzed in the application of small angle coordinate transformation. The least square, improved bursa, and multivariate total least square models are analyzed in the application of arbitrary angle coordinate transformation, as well as for the impacts of scale factor and rotation angle on coordinate transformation precision by experiment. It is proven that the multivariate total least square model can achieve high-precision coordinate transformation of arbitrary scale factor and rotation angle.
Key words :
coordinate transformation
least square
least square collocation
Bursa model
multivariate total least square
Received: 14 July 2014
Published: 29 July 2015
[1]
HE Chengwen,YUAN Yunbin,TAN Bingfeng. An Iterative Least Squares Algorithm Based on UWB TDOA Positioning Model [J]. jgg, 2021, 41(8): 806-809.
[2]
DONG Qijia,CHENG Yan,ZHOU Zhonghua,XU Song,QING Yun,WANG Wenjun. Analysis of ITRS to J2000 Coordinate System Conversion Error and Its Influence on Occultation Inversion [J]. jgg, 2021, 41(5): 530-534.
[3]
ZHAI Xinyi,PAN Guangyong,CHEN Yang,LIU Guolin. L-Curve Characteristic Value Correction Iteration Method for SBAS-InSAR Deformation Inversion [J]. jgg, 2021, 41(4): 403-407.
[4]
ZOU Shilin,WU Xing,WANG Fengwei. Regularized Robust Solution for Ill-Posed Weighted Total Least Squares Model [J]. jgg, 2021, 41(11): 1106-1110.
[5]
YANG Qiuwei,BAI Zhichao,LI Cuihong. Biased Estimation Method Based on Neumann Series [J]. jgg, 2020, 40(5): 512-516.
[6]
LIU Dong,CUI Xingping,WANG Qinghua,MU Baosheng,ZHANG Yong. Influence of Least Squares Weighting Method on Gravity Calculation Results [J]. jgg, 2020, 40(12): 1233-1236.
[7]
SUN Wenzhou,YIN Xiaodong,XIA Wenjie. Analysis of the Influence of Sound Velocity Error on Sailing-Circle Positioning Method for Seafloor Control Points [J]. jgg, 2020, 40(12): 1299-1302.
[8]
WANG Leyang,XU Ranran. Robust Weighted Total Least Squares Algorithm for Three-Dimensional Coordinate Transformation [J]. jgg, 2020, 40(10): 1027-1033.
[9]
ZUO Tingying, CHEN Bangju, SONG Yingchun. Adjustment Algorithm with Spherical Constraint and Application [J]. jgg, 2020, 40(1): 71-76.
[10]
WANG Wei,LI Hongyu,YE Biwen,TIAN Tao. Research on the Method for Annual Period Detection of Variable Amplitude for the Time Series of Deformation [J]. jgg, 2020, 40(1): 7-10.
[11]
WANG Qixin,XU Xiwei,JIANG Zaisen. Strain Characteristics of North-South Seismic Zone and the Analysis of Earthquake Risk [J]. jgg, 2020, 40(1): 23-29.
[12]
WANG Yong,SHI Qiang,LOU Zesheng,HAO Zhenhang,REN Dong. GNSS Vertical Series Noise and Non-Tectonic Deformation RemovalBased on ICEEMDAN and Least Squares [J]. jgg, 2020, 40(1): 39-44.
[13]
. [J]. jgg, 2019, 39(增2): 72-75.
[14]
. [J]. jgg, 2019, 39(增1): 137-141.
[15]
WU Guangming,LU Tieding. New Methods of Ill-Posed Total Least-Squares with Targeting Singular Value Corrections [J]. jgg, 2019, 39(8): 856-862.