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《Acta Geodaetica Et Cartographic Sinica》 2004-04
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Uniform Expression of Solutions of Ill-posed Problems in Surveying Adjustment and the Fitting Method by Selection of the Parameter Weights

OU Ji-kundemy of Sciences, Wuhan, 430077, China)  
By analysis and comparison of several mathematical models in surveying adjustment, it could be found that their solution expressions may be unified in form. The unified formula of these solutions could be derived based on the principle of Tikhonov regularization.Due to the inspiration of Quasi-Stable adjustment, the new idea is put forward by author of the paper to solve ill-posed problems, that is named "fitting method by selection of the parameter weights".It is emphasized that a specific analysis of the parameters should be performed based on the specific situation when an ill-posed problem is considered to be solved. The results in accord with objective practice will be obtained by using the uniform formula of the solutions as a reasonable weight matrix or restricted condition about the unknown parameters is constructed. In the final section of the paper, two examples are introduced to illustrate the effect of the new method.
【Fund】: 国家自然科学基金资助项目(40204001;40074003);; 中科院知识创新工程领域前沿资助项目(030185)
【CateGory Index】: P207
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【References】
Chinese Journal Full-text Database 10 Hits
1 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
2 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
3 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
4 FENG Guo-qiang①,LIU Gen-you②,SUN Xiu-yun③(① Department of Survey and map engineering,College of Applied technology Jilin University,Changchun 130022;② Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan,430077;③ Department of Survey and map engineering,College of Applied technology Jilin University,Changchun 130022);GPS network adjustment based on parameter constraint adjustment[J];Science of Surveying and Mapping;2007-05
5 ZHANG Hui-zhan ,DU Zhi-xing(Shandong University of Science and Technology, Qingdao 2665110,China);The slope method of ridge parameter determination[J];Science of Surveying and Mapping;2008-02
6 ZHANG Hui-zhan①,DU Zhi-xing①,WANG Xin-zhou②,TAO Qiu-xiang①(① Shandong University of Science and Technology,Qingdao 2665110,China;② Wuhan University,Wuhan 430072,China);Discussion of the uniformity of the three adjustment models[J];Science of Surveying and Mapping;2008-05
7 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
8 OUYANG Wen-sen,ZHU Jian-jun Info-physics Geomatics Engineering College.Central South University.Changsha 410083,China;Expanding of Classical Surveying Adjustment Model[J];Acta Geodaetica et Cartographica Sinica;2009-01
9 TANG Li-min1,2,ZHU Jian-jun2(1.School of Traffic and Transportation Engineering,Changsha University of Science & Technology,Changsha 410076,China;2.College of Info-Physics and Geomatics Engineering,Central South University,Changsha 410083,China);Unified model and ill-posed property of numerical iterative formula for solving nonlinear least squares problem[J];Journal of Changsha Communications University;2008-02
10 Ding Shijun~(1)),Sun Zhenbing~(2)) and Liu Xing~(3))1)School of Geodesy and Geomatics,Wuhan University,Wuhan 4300792)Shanwei Honghaiwan Economic Development Experimental Zone of Guangdong Province,Shanwei 5166223)School of Civil Engineering,Chongqing University,Chongqing 400045;GENERAL COMPENSATED LEAST SQUARES AND ITS STATISTICAL PROPERTIES[J];Journal of Geodesy and Geodynamics;2006-04
【Co-references】
Chinese Journal Full-text Database 10 Hits
1 KUANG Ji-chang (Mathematics Department of Hunan Normal University, Changsha410081,China);New Progress in Inequality Study in China[J];Journal of Beijing Union University;2005-01
2 FAN Xiao tao, JI Guang ming (College of Information Management, Chengdu University of Technology, China);PRECONDITIONED MATRIX AND ITS STRUCTURE TECHNIQUE[J];Journal of Chengdu University of Technology(Science & Technology Edition);2003-04
3 Fan Gongyu (Tongiu University,Shanghai,200092);Principal Component and Principal Components Estimate[J];Engineering of Surveying and Mapping;1995-04
4 Zhu Jianjun (Central South University of Technology, Chang Sha, 410083);A new Criterion for Robustness and the Corresponding Robust Estimate[J];Engineering of Surveying and Mapping;1996-04
5 Song Lijie (Zhengzhou Institute of Surveying and Mapping, Zheng Zhou, 450052);Principal Components Estimate and Parameter Adjustment with Constraints[J];Engineering of Surveying and Mapping;1997-01
6 Zhou Jiangwen (Institute of Geodesy and Geophysics, Chinese Academy of Sciences, Wuhan, 430077);Mathematical Processing of Problems with Systematic Errors[J];ENGINEERING OF SURVEYING AND MAPPING;1999-02
7 Gui Qingming Zhang Jianjun (Zhengzhou Institute of Surveying and Mapping, Zhengzhou, 450052);Biased Estimation for Parameter Adjustment with Constraints[J];ENGINEERING OF SURVEYING AND MAPPING;2000-01
8 SUI Li-fen, TAO Da-xin (Information Engineering University, Zhengzhou 450052, China);Various Adjustment Methods of Unknown Parameters with Prior Information and Its Comparison[J];Engineering of Surveying and Mapping;2001-04
9 HU Hong-chang1,2, SUN Hai-yan1(1. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China;2. Department of Mathematics, Hubei Normal University, Huangshi 435002, China);Choice of the regular matrix R and smoothing parameter α[J];Engineering of Surveying and Mapping;2003-04
10 TIAN Yu-gang1, WANG Xin-zhou2, HUA Xiang-hong2(1. College of Resource Science & Technology, Beijing Normal University, Beijing 100875, China)2. School of Geodesy and Geomatics, Wuhan University, Wuhan 430079, China);Genetic algorithms based on nonlinear least squares estimation[J];Engineering of Surveying and Mapping;2004-04
China Proceedings of conference Full-text Database 1 Hits
1 YANG Yuanxi XU Tianhe Xi'an Research Institute of Surveying and Mapping, Xi'an 710054;An Adaptively Regularization Method with Combination of Prior and Posterior Information[A];[C];2004
【Secondary References】
Chinese Journal Full-text Database 10 Hits
1 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
2 WANG Jia-bang1 WU You-ping1 XIA Yuan-ping1 TUO Li-wen2 1.Department of Civil Engineering,Guilin University of Technology,Guilin,Guangxi,541004; 2. Armed Police Force 3rd detachment 4th squadrons gold,Haerbin,Heilongjiang,150086;Selection of M-estimated Weight Functions and Robust Comparison[J];Beijing Surveying and Mapping;2008-01
3 NIU Sui-wang~1,HAN Shao-hong~2,DING Shou~2(1.School of Surveying and Land Information Engineering,Henan Polytechnic University,Jiaozuo 454000,China;2.Xi'an Technical Division of Mapping and Surveying,Xi'an 710054,China);Investigation of method of processing daily change data in geomagnetic field[J];Engineering of Surveying and Mapping;2006-05
4 FENG Guo-qiang①,LIU Gen-you②,SUN Xiu-yun③(① Department of Survey and map engineering,College of Applied technology Jilin University,Changchun 130022;② Institute of Geodesy and Geophysics,Chinese Academy of Sciences,Wuhan,430077;③ Department of Survey and map engineering,College of Applied technology Jilin University,Changchun 130022);GPS network adjustment based on parameter constraint adjustment[J];Science of Surveying and Mapping;2007-05
5 ZHANG Hui-zhan ,DU Zhi-xing(Shandong University of Science and Technology, Qingdao 2665110,China);The slope method of ridge parameter determination[J];Science of Surveying and Mapping;2008-02
6 YU Cai-xia, HUANG Wen-qian,FAN Pei(Dept. of Hydrography and Cartography, Dalian Naval Academy, Dalian 116018, China);The adaptability study of Bursa’s 3-parameter and 7-parameter models[J];Science of Surveying and Mapping;2008-02
7 WANG Jie-xian①②,WANG San-jun①(①Dept.of Surveying,Tongji University,Shanghai 200092,China;②Key Lab.of Advanced Surveying Engineering of State Bureau of Surveying and Mapping,Shanghai 200092,China);An additional-range and precise GPS network adjustment method[J];Science of Surveying and Mapping;2008-05
8 LIU Zhi-qiang,HUANG Zhang-yu College of Civil Engineering,Hohai University,Nanjing 210098,China);Research and implementation of refined GPS stochastic model based on best invariant quadratic unbiased estimation algorithm[J];Science of Surveying and Mapping;2008-06
9 WU You-ping①,PENG Jun-huan②,LU Tie-ding③(①Nanchang University College of Science and Technology,Jiangxi Nanchang,330029;②Department of Surveying Engineering,Land Science and Technology Institute,China University of GeoSciences,Beijing 100083;③Earth Sciences and Institute of Surveying and Mapping,East China Institute of Technology,Jiangxi Fuzhou 344000,China);The efficiency of semi-parameter estimation compared with the LS estimation[J];Science of Surveying and Mapping;2009-01
10 LIU Xiang-lei,TONG Xiao-hua,MA Jing;A Precise Conversion Method of GIS Vector Data to KML[J];Bulletin of Surveying and Mapping;2009-03
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