| 改进的GNSS/水准点优化选择的逐步剔除法 |
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| 引用本文： | 崔家武,张兴福,周波阳,杜向锋,魏德宏.改进的GNSS/水准点优化选择的逐步剔除法[J].武汉大学学报(信息科学版),2019,44(10):1505-1510. |
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| 作者姓名： | 崔家武 张兴福 周波阳 杜向锋 魏德宏 |
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| 作者单位： | 1.广东工业大学测绘工程系, 广东 广州, 510006 |
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| 基金项目： | 国家自然科学基金41674006国家自然科学基金41504013 |
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| 摘 要： | GNSS/水准联测点的合理选择对GNSS高程拟合至关重要，剔除法是一种较好的优化选点方法，传统的剔除法是以高程异常拟合误差最小为目标函数进行优化选点，可能会出现选点不均匀情况。鉴于此，提出根据GNSS/水准点生成的泰森多边形面积大小进行优化选点，并在此基础上对传统优化选点的方法进行改进，即同时考虑高程异常拟合误差大小及由泰森法生成的多边形面积大小进行优化选点（称为综合法）。以1~3次多项式拟合模型为研究对象，实验结果表明，GNSS/水准点优化选择的综合法可在改善点分布的同时获得稳定性好、精度较高的高程异常拟合结果。
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| 关 键 词： | GNSS水准拟合 优化选点 逐步剔除法 泰森多边形法 |
| 收稿时间： | 2018-08-29 |
Improved step-by-step elimination method for optimal selection of GNSS/leveling points |
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| Affiliation: | 1.Department of Surveying and Mapping, Guangdong University of Technology, Guangzhou 510006, China2.Guangdong Polytechnic of Industry and Commerce, Guangzhou 510510, China |
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| Abstract: | The reasonable selection of GNSS/leveling points is very important to GNSS height fitting, step-by-step elimination method is a good method for the optimization selection of joint-observation points. The traditional elimination method selects the GNSS/leveling points based on the minimum fitting error of height anomaly, which will easily lead to uneven joint-observation points. According to this view, this paper proposes to optimize the joint-observation point based on the area size of Thiessen polygons generated by the GNSS/leveling points, and on this basis to improve the traditional method, namely taking into account both the size of the height anomaly fitting error and the area size of polygons generated by Thiessen method (referred to as the synthesis method). The experimental results show that the synthesis method can improve the distribution of joint-observation points, and get the fitting results of height anomaly with high stability and accuracy. |
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