三维基准转换的约束加权混合整体最小二乘的迭代解法
Iterative Method of Weight Constraint Total Least-Squares for Three-Dimensional Datum Transformation
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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。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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