| 球面小波模型在GPS高程拟合中的应用 |
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| 引用本文： | 周贻港,孙罗庆,李中洲.球面小波模型在GPS高程拟合中的应用[J].测绘通报,2020,0(12):97-100. |
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| 作者姓名： | 周贻港 孙罗庆 李中洲 |
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| 作者单位： | 深圳市勘察测绘院(集团)有限公司, 广东 深圳 518028 |
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| 摘 要： | 本文利用某地共99个GPS水准点的大地高和正常高求取高程异常，使用DOG球面小波模型和多面函数，分别对高程异常进行拟合。拟合时剔除模型残差大于2倍中误差的点，并在剔除粗差后重新进行拟合。通过比较外部检核点的已知高程异常值和球面小波模型值、多面函数拟合值之间的均方差评价模型的精度。数据结果表明，以外部检核均方差最小为准则，球面小波模型拟合精度较优，其拟合精度为1.65 cm，多面函数拟合精度为2.35 cm。
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| 关 键 词： | GPS水准点 高程异常 DOG球面小波 多面函数 高程拟合 |
| 收稿时间： | 2020-03-18 |
| 修稿时间： | 2020-10-16 |
Application of spherical wavelet model in GPS elevation fitting |
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| ZHOU Yigang,SUN Luoqing,LI Zhongzhou.Application of spherical wavelet model in GPS elevation fitting[J].Bulletin of Surveying and Mapping,2020,0(12):97-100. |
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| Authors: | ZHOU Yigang SUN Luoqing LI Zhongzhou |
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| Institution: | Shenzhen Geotechnical Investigation&Surveying Institute(Group) Co., Ltd., Shenzhen 518028, China |
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| Abstract: | The earth height and normal height of a total of 99 GPS leveling points are used to calculate the elevation anomalies, and DOG spherical wavelet model and polyhedral function are used to fit the elevation anomalies respectively. During the fitting, the points where the residual error of the model is greater than 2 times the median error are eliminated, and the fitting is performed again after the coarse error is eliminated. The accuracy of the model is evaluated by comparing the mean square deviation between the known elevation outliers of the external check points and the spherical wavelet model values and the polyhedral function fitting values. The data results show that the spherical wavelet model has a better fitting precision of 1.65 cm and the multiplanar function of 2.35 cm based on the criterion of minimum mean square error of external check. |
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| Keywords: | GPS leveling points elevation anomaly DOG spherical wavelet polyhedral function elevation fitting |
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