| 三维基准转换的约束加权混合整体最小二乘的迭代解法 |
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| 引用本文： | 葛旭明,伍吉仓.三维基准转换的约束加权混合整体最小二乘的迭代解法[J].武汉大学学报(信息科学版),2012,37(2):178-182. |
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| 作者姓名： | 葛旭明 伍吉仓 |
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| 作者单位： | 1. 同济大学测量与国土信息工程系,上海市四平路1239号,200092
2. 同济大学测量与国土信息工程系,上海市四平路1239号200092／现代工程测量国家测绘局重点实验室,上海市网平路1239号200092 |
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| 基金项目： | 国家自然科学基金资助项目，国家科技部国际合作资助项目 |
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| 摘 要： | 基于传统的三维基准转换方法及经典最小二乘（LS）理论,引入混合整体最小二乘（LS-TLS）的原理,在此基础上,根据测量平差原理建立附有约束条件的加权模型,并通过Euler-Lagrange逼近法推导出含有初始值的迭代算法,解决了模型与实际测量条件更加匹配的问题;给出了该模型下三维基准转换的实例,并分析了不同条件下权因素的影响。
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| 关 键 词： | 三维坐标转换 约束 加权 混合整体最小二乘 |
Iterative Method of Weight Constraint Total Least-Squares for Three-Dimensional Datum Transformation |
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| GE Xuming,WU Jicang.Iterative Method of Weight Constraint Total Least-Squares for Three-Dimensional Datum Transformation[J].Geomatics and Information Science of Wuhan University,2012,37(2):178-182. |
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| Authors: | GE Xuming WU Jicang |
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| Institution: | 1,2(1 Department of Surveying and Geo-Informatics,Tongji University,1239 Siping Road,Shanghai 200092,China)(2 Key Laboratory of Modern Engineering Surveying,SBSM,1239 Siping Road,Shanghai 200092,China) |
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| Abstract: | According to the traditional approach of three-dimensional datum transformation and classic least-squares(LS) theory,the weight constraint total LS(WCTLS) and mixed LS are introduced.A more reasonable model and the corresponding iterative algorithm are given.The example results show that the new model is more reasonable indeed and the more accurate parameters of datum transformation can be obtained with suitable weight assigned. |
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| Keywords: | three-dimensional datum transformation constraint weight mixed total least-squares |
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