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《Science of Surveying and Mapping》 2015-06
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Reaserch on Ill-conditioned problem in plane coordinate conversion model and its regularization algorithm

YANG Juan;HUANG Shu-ling;DAI Hong-bao;SHI Long-xiang;School of Earth Science and Engineering,Suzhou University;  
The accuracy of coordinate conversion is concerned when people apply mathematical model to transform different coordinate systems.For the ill-conditioned coefficient matrix of normal equation might caused by the correlation of conversion model parameters,the linear conversion model was deduced on the basis of nonlinear plane conversion model.Then,the related conclusions of conversion model parameters,the ill-conditioned problem of coefficient matrix and the regularization algorithm were analyed through an instance.Experimental results showed that the ill-conditioning problem existed in coefficient matrix of normal equation,which was not induced by the correlation of parameters;and the result of parameters based on select weight fitting idea was more accurate than that of least squares.
【Fund】: 安徽省优秀青年人才基金重点项目(2013SQRL085ZD);; 安徽省大学生创新创业训练项目(AH201310379047);; 安徽省高校自然科学研究项目(KJ2013B290)
【CateGory Index】: P226.3
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【Citations】
Chinese Journal Full-text Database 6 Hits
1 TANG Qiu-xiang(First Surveying and Mapping Institute of Hunan Province,Hunan Hengyang 421001,China);Extrapolate precision estimation of similarity transformation between plane right-angled coordinate systems[J];Science of Surveying and Mapping;2011-05
2 TAO Ye-qing,HUANG Shu-ling,YANG Juan,XU Dong-sheng(Earth Science and Engineering School of Suzhou University,Anhui Suzhou 234000,China);A method suitable for CORS plane coordinate system transformation[J];Science of Surveying and Mapping;2012-03
3 OU Ji-kundemy of Sciences, Wuhan, 430077, China);Uniform Expression of Solutions of Ill-posed Problems in Surveying Adjustment and the Fitting Method by Selection of the Parameter Weights[J];Acta Geodaetica Et Cartographic Sinica;2004-04
4 SHEN Yun-zhong~(1,2),HU Lei-ming~1,LI Bo-feng~1(1.Department of Surveying and Geoinfomatics,Shanghai 200092;2.Key Laboratory of Modern Engineering Survey of SBSM,Shanghai 200092);Ill-posed Problem in Determination of Coordinate Transformation Parameters with Small Area's Data Based on Bursa Model[J];Acta Geodaetica et Cartographica Sinica;2006-02
5 YAO Yibin (School of Geodesy and Geomatics, Wuhan University,Wuhan 430079, China);A SIMPLE AND CONVENIENT ARITHMETIC FOR THE TRANSFORMATION OF PLANE COORDINATE SYSTEM[J];Wtusm Bulletin of Science and Technology;2001-01
6 SUN Xiao-rong①②③,ZHANG Shu-bi②③,XU Ai-gong④,ZHAO Ji-xian①(①Department of Architecture Engineering,Suqian College,Jiangsu Suqian 223800,China;②China University of Mining and Technology,Key Laboratory for Land Environment and Disaster Monitoring of SBSM,Jiangsu Xuzhou 221116,China;③School of Environment Science and Spatial Informatics of CUMT,Jiangsu Xuzhou 221116,China;④School of Geomatics,Liaoning Technical University,Liaoning Fuxin 123000,China);Applicability analysis of seven-parameter coordinate transformation model[J];Science of Surveying and Mapping;2012-06
【Co-citations】
Chinese Journal Full-text Database 10 Hits
1 Yin Huizeng(Shijiazhuang Institute of Railway Technology Hebei Shijiazhuang 050041 China);Improvement of Spatial Information Update Method in Cadastral Management System[J];Beijing Surveying and Mapping;2005-02
2 NIU Lin1,2 CHEN Jian-ping1,2 TIAN Yi1,2 1 Department of Global Science and Resource,CUCB,Beijing,100083 2 Beijing Key Laboratory of Research and Exploration Information of Land Resource,Beijing,100083;The Optimal Choice of Common Points in Three Dimensional Coordinate Transformation[J];Beijing Surveying and Mapping;2007-04
3 TAO Ye-qing,YANG Juan,ZHAO Qiang(Earth ScienceAnd Engineering School Of Suzhou University,Suzhou Anhui 234000,China);Control Points Factor Influence On GPS Coordinaes System Transformation[J];Beijing Surveying and Mapping;2012-01
4 Chai Yanju Ou Jikun Yuan Yunbin Liu Genyou(Institute of Geodesy and Geophysics,Key Laboratory of Dynamical Geodesy,Chinese Academy of Sciences,Wuhan 430077,China);On-the-fly ambiguity resolution by restricting coordinates predicted by Doppler[J];Journal of Beijing University of Aeronautics and Astronautics;2008-01
5 Wang Haitao Ou Jikun Yuan Yunbin(Key Laboratory of Dynamic Geodesy,Institute of Geodesy & Geophysics of CAS,Wuhan 430077,China);Rapid resolution of GPS ambiguities of satellite formation flying with two-step method[J];Journal of Beijing University of Aeronautics and Astronautics;2009-09
6 PENG Zhen-zhong(School of Geodesy and Geomatics, Wuhan University, Wuhan 430072, China);Probability test on point position droping into error ellipse[J];Engineering of Surveying and Mapping;2004-02
7 YIN Hui-zeng1,2 (1. School of Geodesy and Geomatic ,Wuhan University, Wuhan 430079, China; 2. Shijiazhuang Institute of Railway Technology, Shijiazhuang 050041, China);Improvement of spatial information update method in cadastral management system[J];Engineering of Surveying and Mapping;2005-03
8 WANG Ling-ling~1,HAN Shao-hong~2,ZENG An-min~2(1.Henan Provincial Communications Planning Survey & Design Institute,Zhengzhou 450052,China;2.Xi'an Technical Division of Mapping and Surveying,Xi'an 710054,China);The optimal filtration of periodic group by least square method[J];Engineering of Surveying and Mapping;2005-04
9 LIU Shang-guo1,2,YU Sheng-wen1,2,YAO Shou-feng3 (1.Geomatics College,Shandong University of Science and Technology,Qingdao 266510,China;2.Shandong Provincial Key Laboratory OP Geomatics and Digital Technology,Qingdao 266510,China;3.Coal Industry Jinan Design and Research CO,.LTD,Jinan 250031,China);Analysis of plane coordinate system transformation rule and its application in curve survey[J];Engineering of Surveying and Mapping;2011-03
10 DING Shi-jun~①,JIN Xiang-sheng~②(①School of Geodesy and Geomatics,Hubei,Wuhan 430079;②Yellow River Conservancy Technical Institute,Henan,Kaifeng,475000);Solution properties of Ill-posed problem in adjustment and resolution of regularization parameter[J];Science of Surveying and Mapping;2006-02
China Proceedings of conference Full-text Database 2 Hits
1 GU Yong-wei~(1,2) GUI Qing-ming~2 Han Song-hui~(1,2) (1.Institute of Surveying and Mapping,Information Engineering University,73 Songshan Road,Zhengzhou 450052, China,2.Institute of Science,Information Engineering University,160 Mail-box 2201,Zhengzhou 450001,China);Regularization Based on Signal-to-Noise Index and Its Application in GPS Rapid Positioning[A];[C];2010
2 LIU Jihua~(1,2,3) OU Jikun~1 SUN Baoqi~(13) ZHONG Shiming~1 1 Key Laboratories of Dynamical Geodesy,Institute of Geodesy and Geophysics,Chinese Academy of Sciences,340 Xu Dong Road,Wuhan 430077,China 2 Hubei University,11 Xue Yuan Road,Wuhan 430062,China 3 Graduate University of the Chinese Academy of Sciences,19 Yu Quan Road,Beijing 100049,China;The GEO satellite precise orbit determination based on Inter-satellite single-difference method[A];[C];2010
【Secondary Citations】
Chinese Journal Full-text Database 10 Hits
1 OU Ji-kundemy of Sciences, Wuhan, 430077, China);Uniform Expression of Solutions of Ill-posed Problems in Surveying Adjustment and the Fitting Method by Selection of the Parameter Weights[J];Acta Geodaetica Et Cartographic Sinica;2004-04
2 SHEN Yun-zhong~(1,2),HU Lei-ming~1,LI Bo-feng~1(1.Department of Surveying and Geoinfomatics,Shanghai 200092;2.Key Laboratory of Modern Engineering Survey of SBSM,Shanghai 200092);Ill-posed Problem in Determination of Coordinate Transformation Parameters with Small Area's Data Based on Bursa Model[J];Acta Geodaetica et Cartographica Sinica;2006-02
3 Shen Yunzhong, Wei Gang (TongJi University, Shanghai,200092);IMPROVEMENT OF THREE DIMENSIONAL COORDINATE TRANSFORMATION MODEL BY USE OF INTERIM COORDINATE SYSTEM[J];ACTA GEODAETICA ET CARTOGRAPHIC SINICA;1998-02
4 Jiang Chenguang (Laiyang Agriculture College, Laiyang,Shandong 265200,China);2D Practical Method of the Transformation of GPS Coordinates to the Coordinates of Local System[J];SURVEYING AND MAPPING OF GEOLOGY AND MINERAL RESOURCES;1999-02
5 Shen Yunzhong and Xu Houze\;1)Tongji University,Shanghai\ 200092 2)Institute of Geodesy and Geophysics, CAS, Wuhan\ 430077;SPECTRAL DECOMPOSITION FORMULA OF REGULARIZATION SOLUTION FOR ILL-POSED EQUATION[J];Crustal Deformation and Earthquake;2002-03
6 Wang Jiexian, Wang Jun and Lu Caiping (Dept. of Surveying,Tongji University,Shanghai\ 200092);PROBLEM OF COORDINATE TRANSFORMATION BETWEEN WGS-84 AND BEIJING 54[J];Crustal Deformation and Earthquake;2003-03
7 Wang Jiexian1,2)1)Dept.of Surveying and Geomatics,Tongji University,Shanghai 2000922)Key Laboratory of Advanced Engineering Survey of SBSM,Shanghai 200092;CORRELATIONS AMONG PARAMETERS IN SEVEN-PARAMETER TRANSFORMATION MODEL[J];Journal of Geodesy and Geodynamics;2007-02
8 Chen Zhengyu1) and Liu Chun1,2) 1)Department of Surveying and Geoinformatics, Tongji University, Shanghai 2000922)Key Laboratory of Advanced Engineering Survey of SBSM, Shanghai 200092;SPATIAL COORDINATE TRANSFORMATION BASED ON MULTIPLE PARAMETER REGULARIZATION AND ITS ACCURACY ANALYSIS[J];Journal of Geodesy and Geodynamics;2008-01
9 Chen Yu,Bai Zhengdong and Luo Teng(Department of Civil Engineering,Tsinghua University,Beijing 100084);AN IMPROVED BURSA MODEL FOR COORDINATE TRANSFORMATION[J];Journal of Geodesy and Geodynamics;2010-03
10 ZHAO Bao-feng,ZHANG Xue,JIANG Ting-chen(School of Geodesy & Geomatics Engineering,Huaihai Institute of Technology,Lianyungang 222005,China);Effect of Coordinate Conversion Model and the Selected Common Points on the Accuracy of Conversion Results[J];Journal of Huaihai Institute of Technology(Natural Sciences Edition);2009-04
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