A squared Msplit similarity transformation method for stable points selection of deformation monitoring network

doi:10.11947/j.AGCS.2020.20200023

Abstract

Abstract: In order to improve the correctness and robustness of existing stable points selection methods of reference network when there are many unstable points, a robust stable points selection method using squared M_split similarity transformation is proposed. This method still works when the number of unstable points is close to or even more than the number of stable points. Firstly, the reference points are divided into two groups with square M_split estimation in the process of calculating the similar transformation parameters of two measurement epochs. Then, by taking the group with more points as stable one, the stable points group is divided into two groups continually until the similarity transformation parameters of the two groups have little difference. Finally, deformation analysis is conducted with the similarity transformation parameters which are calculated with the final stable points group. Experiments are carried out to compare the effect of traditional S transformation, robust S transformation and the proposed method under the condition that there exists some points with large deformation in reference network or the number of unstable points is close to or even more than the number of stable points. And the experimental results show that the proposed method has the highest correctness rate of stable points determination, gets the smallest difference between the calculated deformation and the simulated deformation, and gains the smallest root mean square of coordinates difference of the stable points group between two measurement epochs, which means that the result of the proposed method can correctly reveal the deformation of control points.

Key words: squared M_split estimation, similarity transformation, deformation monitoring reference network, stable points selection, deformation analysis

CLC Number:

P258

GUO Yinggang, LI Zongchun, HE Hua, ZHANG Guanyu, FENG Qiqiang, YANG Hao. A squared M_split similarity transformation method for stable points selection of deformation monitoring network[J]. Acta Geodaetica et Cartographica Sinica, 2020, 49(11): 1419-1429.

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A squared M_split similarity transformation method for stable points selection of deformation monitoring network

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