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引用本文:孙小荣,李明峰,刘支亮.???????????????????????????о?[J].大地测量与地球动力学,2015,35(1):132-135.
作者姓名:孙小荣  李明峰  刘支亮
作者单位:1 宿迁学院建筑工程系, 宿迁市黄河南路399号, 223800
2 中国矿业大学国土环境与灾害监测国家测绘地理信息局重点实验室, 徐州市大学路1号, 221116
3 南京工业大学测绘学院, 南京市浦珠南路30号, 211800
基金项目:江苏省青蓝工程;江苏省高校自然科学研究专项(11KJD420002);国家自然科学基金(51174206)
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收稿时间:2014-03-03

Improvement and Application Study of Planar Four Parameters Coordinate Transformation Model
SUN Xiaorong,LI Mingfeng,LIU Zhiliang.Improvement and Application Study of Planar Four Parameters Coordinate Transformation Model[J].Journal of Geodesy and Geodynamics,2015,35(1):132-135.
Authors:SUN Xiaorong  LI Mingfeng  LIU Zhiliang
Institution:1 Department of Architecture Engineering, Suqian College, 399 South-Huanghe Road,Suqian 221116, China
2 NASMG Key Laboratory of Land Environment and Disaster Monitoring, China University of Mining and Technology, 
1 Daxue Road,Xuzhou 221116, China
3 College of Geomatics Engineering, Nanjing University of Technology, 30 South-Pujiang Road,Nanjing 210009, China
Abstract:This article employs the method of applied numerical analysis theory to discuss the square matrix singularity discriminant. Focusing on the problem of ill-conditioned transformation model for planar four parameters normal equation coefficient matrix, the author puts forward the approach of coordinating the centralized coordinates with reducing the error equation coefficient. This approach effectively improves the structure of normal equation coefficient matrix and the ill-conditioned transformation model, and gains stable and reliable transformation parameters. Also, the article verifies that this method is simple and feasible through theory and case analysis, providing reference for the planar four parameters transformation in regional engineering surveying.
Keywords:planar four parameters model  parameters correlations  ill-conditioned  centralized-shrink coefficient method
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