地铁隧道自由设站变形监测起算点可用性研究
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摘要
使用自由设站极坐标法进行变形监测时,必须保证起算点的准确性;而地铁隧道变形监测起算点较少,若其中某几个点同时发生变动,则很难判断已知点的可用性。鉴于此,提出了坐标系转换法,通过求解已知点位移分量判断其可用性。求解坐标转换关系是该方法的关键,先利用RANSAC算法计算初值,再通过迭代估计得到最终结果。通过现场实测和模拟测试进一步验证了该算法的可靠性。
When using the free station polar coordinate method to monitor deformation, we shall calculate starting points accurately, to ensure the validity of deformation monitoring results. Because the subway tunnel deformation monitoring starting points were less, several points changed at the same time, the availability of the known point was difficult to judge. In order to solve this problem, we put forward a coordinate transformation method, which using the displacement component of known point to judge its availability. Coordinate transformation relationship is the key of this method. We used RANSAC algorithm to calculate initial value at first, and then got the final result by iterative estimation. Finally, we verified the availability of this algorithm by spot test and simulation test.
When using the free station polar coordinate method to monitor deformation, we shall calculate starting points accurately, to ensure the validity of deformation monitoring results. Because the subway tunnel deformation monitoring starting points were less, several points changed at the same time, the availability of the known point was difficult to judge. In order to solve this problem, we put forward a coordinate transformation method, which using the displacement component of known point to judge its availability. Coordinate transformation relationship is the key of this method. We used RANSAC algorithm to calculate initial value at first, and then got the final result by iterative estimation. Finally, we verified the availability of this algorithm by spot test and simulation test.
引文
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[2]孙立军,刘兴春,于兴超.极坐标测量变形监测网稳定基准点组的检验[J].测绘地理信息, 2009,34(3):25-26
[3]贾志强,邢卫民,范鹏程.地铁运营监测基准网稳定性检验方法[J].测绘通报, 2014(8):76-79
[4]徐亚明,刘冠兰,柏文锋.顾及基坑施工影响的地铁区间隧道结构卡尔曼滤波预报模型[J].武汉大学学报(信息科学版),2013,38(11):1 322-1 325
[5]程效军,缪盾.全站仪自由设站法精度分析探讨[J].铁道勘察, 2008,34(6):1-4
[6]王庆,于先文.顾及已知点精度的自由设站算法及精度分析[J].东南大学学报(自然科学版), 2009,39(2):372-376
[7]吴祖海,罗伟钊,李军.坐标转换中公共点粗差定位与降低粗差点影响方法研究[J].大地测量与地球动力学, 2014,34(1):118-122
[8]周跃寅,潘国荣,孙海丽.坐标转换解算中基于验前中误差的稳健估计[J].山东科技大学学报(自然科学版),2014,33(3):69-76
[9]陈义,陆珏.以三维坐标转换为例解算稳健总体最小二乘方法[J].测绘学报, 2012,41(5):715-722
[10]方兴,曾文宪,刘经南,等.三维坐标转换的通用整体最小二乘算法[J].测绘学报, 2014,43(11):1 139-1 143