| 南水北调工程某标段GPS高程线性拟合改进方法研究 |
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| 引用本文： | 孟俊贞,马开锋,黄桂平,赵继伟,杨卫森.南水北调工程某标段GPS高程线性拟合改进方法研究[J].全球定位系统,2019,44(4):102-106. |
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| 作者姓名： | 孟俊贞 马开锋 黄桂平 赵继伟 杨卫森 |
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| 作者单位： | 1. 华北水利水电大学 地球科学与工程学院,河南 郑州 450046 |
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| 摘 要： | 基于GPS大地高不能直接应用于工程而需要转换为正常高的需求,针对南水北调工程某标段GPS控制线形特点,分别采用正交函数、三次样条与Akima曲线拟合及相应改进方法进行了GPS高程拟合实践应用研究,结果表明针对线性拟合区域在选点适宜的情况下,三种改进后的方法均能得到精度提升,其中采用改进后的Akima曲线拟合方法拟合结果的精度提高了近三倍,每千米水准测量全中误差达到了6.07 mm,显示了改进后的Akima曲线拟合方法针对此选点方案的优越性.
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| 关 键 词： | GPS高程拟合 正交函数 三次样条 Akima 全中误差 |
Study on the improved method of GPS elevation linear fitting for a construction section of South-to-North water diversion project |
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| Institution: | College of Geosciences and Engineering, North China University of Water Resources and Electric Power, Zhengzhou 450046, China2.College of Surveying and Geo-Informatics, North China University of Water Resources and Electric Power, Zhengzhou 450046, China3.School of Water Conservancy, North China University of Water Resources and Electric Power, Zhengzhou 450046, China |
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| Abstract: | Based on the requirement that GPS geodetic height cannot be directly applied to engineering and needs to be converted to normal height, aiming at the characteristics of GPS control alignment in a bid section of South-to-North Water Transfer Project, the application of orthogonal function, cubic spline and Akima curve fitting and corresponding improved methods to GPS elevation fitting is emphatically studied. The results show that the accuracy of the three improved methods can be improved when the point selection is suitable for the linear fitting region. Among them, the accuracy of the fitting results by the improved Akima curve fitting method is improved nearly three times, and total mean square error of elevation difference reaches 6.07 mm, which shows the obvious superiority of the improved Akima curve fitting method for this selection scheme. |
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