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《Geomatics World》 2017-01

## Application of Design Matrix to Solve the Parametric Problems under Different Coordinate Transformations

HAN Xiao;PU Yingxia;School of Geographic and Oceanographic Sciences, Nanjing University;Jiangsu Provincial Key Laboratory of Geographic Information Science and Technology;Jiangsu Center for Collaborative Innovation in Geographical Information Resource Development and Application;
Transformations under different coordinate systems and spatial references have been studied extensively. In order to make the connection between different coordinate transformation methods, this paper introduces the concept of the design matrix, and derives the uniform expression of parameter estimation of coordinate transformation based on the least square method. The design matrices of common transformation methods in 2D and 3D coordinate system are set forth. Taking the transformation between Beijing 54 and Xi'an 80, CGCS2000 and Xi'an 80 as an example, parameters of similarity transformation, affine transformation and seven-parameter similarity transformation are calculated. By applying these parameters into other control points and comparing the computing results to real values, the rationality of introducing design matrix is verified and the calculation process of coordinate transformation is simplified.
【Fund】： 国家自然科学基金项目(41271388)资助
【CateGory Index】： P226.3
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 【Co-citations】
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 1 ZENG Anmin;MING Feng;State Key Laboratory of Geo-information Engineering;Institute of Geospatial Information,Information Engineering University;;The Rigorous Model for Similarity Transformation under Intra-frame and Interframe Covariance[J];测绘学报;2017-01 2 Wang Kaosheng;Guo Ping;China Railway No.2 Bureau Group Co.,Ltd;;Local independent coordinate transformation WGS84 geodetic coordinate method and program design[J];山西建筑;2017-01 3 WAN Peng;LOU Li-zhi;ZHANG Shuai;College of Surveying and Geo-Informatics,Tongji University;Key Laboratory of Modern Engineering Surveying NASMG;;Application of Multivariable Total Least Squares in the Coordinate Transformation of Laser Tracker[J];测绘与空间地理信息;2016-12 4 FAN Chunyan;LIU Shangguo;ZHANG Jinbang;Geomatics College,Shandong University of Science and Technology;Dezhou Supervision Limited Liability Company of Construction of Project;;Simulation analgsis on the coordinate transformation accuracy of the total station constructing global measurement space[J];测绘科学;2016-12 5 ZENG Yanyan;ZHU Zhaorong;YANG Bogang;ZHANG Fenglu;Beijing Institute of Surveying and Mapping;Beijing Key Laboratory of Urban Spatial Information Engineering;;Application of nine parameters in the spatial datum of real estate surveying and mapping[J];测绘科学;2016-12 6 WANG Qisheng;YANG Genxin;Hunan Software Vocational Institute;Yunnan Land and Resources Vocational College;;A New Algorithm of Parameter Estimation for PEIV Model[J];测绘科学技术学报;2016-04 7 HOU Fangquan;WANG Jingjing;Land & Resources and Housing Bureau of Qingdao Municipality Chengyang Substation;School of Geodesy and Geomatics,Wuhan University;;Research on coordinate system transformation in different spatial domain[J];测绘工程;2016-11 8 CHEN Yuying;HU Xingshu;XIONG Xiaoqing;The 7th Institute of Topographic Surveying,National Administration of Surveying,Mapping and Geoinformation of China;Key Laboratory of Surveying and Mapping Technology on Island and Reef,National Administration of Surveying,Mapping and Geoinformation of China;;Three cubic surface fitting method for mobile coordinate conversion in the GNSS control network[J];测绘科学;2016-10 9 LIU Ruichang;JIA Keyong;;How to Convert Coordinates by Using TGO Software[J];铁道勘察;2016-05 10 ZHANG Shuai;CHEN Yi;WAN Peng;College of Surveying and Geo-informatics,Tongji University;Key Laboratory of Modern Engineering Surveying of National Administration of Surveying,Mapping and Geoinformation;;The Application of the Weighted Total Least Squares in the Center of Bursa Model[J];测绘与空间地理信息;2016-08
 【Secondary Citations】
 Chinese Journal Full-text Database 10 Hits