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岭估计在二次曲面高程拟合模型数据处理中的应用

The Application of Ridge Estimation in Data Processing of Quadric Surface Elevation Fitting Model
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摘要 在测量工作中,由于参数过多、观测结构不合理等各种原因,会导致各参数之间存在近似线性关系,此时经典的最小二乘模型解算结果会失真。本文通过二次曲面高程拟合模型着重讨论岭估计在最小二乘模型失效的情况下解算结果的可靠性,总结岭参数的求解方法,并验证其解算的可靠性。 In the measurement work, due to too many parameters, unreasonable observation structure and other reasons, there will be an approximately linear relationship between the parameters. At this time, the solution results of the classical least squares model will be distorted. In this paper, through the elevation fitting quadric surface model, the reliability of the solution result of ridge estimation in the case of the failure of the least square model is discussed, the solution method of ridge parameters is summarized, and the reliability of its solution is verified.
出处 《应用数学进展》 2021年第11期4087-4093,共7页 Advances in Applied Mathematics
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