Point cloud virtual datum determination method in deformation analysis

doi:10.11947/j.AGCS.2023.20210463

Abstract

Abstract: Aiming at the problem that conventional fixed-point-based datum construction methods are difficult to apply to overall datum detection based on point cloud, a point cloud virtual datum determination method based on the centroid stability and distribution similarity of corresponding grids of the multitemporal laser point cloud is proposed in our study. Firstly, the point cloud distribution characteristics in the stable and deformed areas are analyzed according to the changing pattern of the traditional datum points, and the detection principle of the point cloud virtual datum is discussed. Then, the point position errors caused by distance measurement, angle measurement, and footprint scale are weighted, and the axis vectors angle corresponding to the minimum moment of inertia is calculated to determine the point cloud distribution similarity. Furthermore, the centroid stability is analyzed by using the squared M_splitsimilarity transformation, and the virtual datum of the multitemporal point cloud is detected. Finally,the tank, landslide, and regular geometry point cloud captured by terrestrial laser scanning technology are applied to verify the feasibility and application scehes of the proposed method. Results show that the point cloud virtual datum that does not require on-site layout or regular maintenance can be detected by combining the centroid stability and the distribution similarity characterized by the axis vectors angles of the minimum moment of inertia, which provides the foundation for multitemporal point cloud coordinate unification and deformation analysis.

Key words: point cloud virtual datum, centroid stability, distribution similarity, deformation analysis

CLC Number:

P237

SUN Wenxiao, WANG Jian, JIN Fengxiang, YANG Yikun. Point cloud virtual datum determination method in deformation analysis[J]. Acta Geodaetica et Cartographica Sinica, 2023, 52(6): 956-965.

References

[1] 顾建祥, 杨必胜, 董震, 等. 面向数字孪生城市的智能化全息测绘[J]. 测绘通报, 2020(6): 134-140. GU Jianxiang, YANG Bisheng, DONG Zhen, et al. Intelligent perfect information surveying and mapping for digital twin cities[J]. Bulletin of Surveying and Mapping, 2020(6): 134-140.
[2] 李德仁. 新基建时代地理信息产业的机遇与挑战[J]. 中国工业和信息化, 2020(12): 52-57. LI Deren. Opportunities and challenges of geographic information industry in the new infrastructure era[J]. China Industry and Information Technology, 2020(12): 52-57.
[3] 李清泉, 张德津, 汪驰升, 等. 动态精密工程测量技术及应用[J]. 测绘学报, 2021, 50(9): 1147-1158.DOI: 10.11947/j.AGCS.2021.20210172. LI Qingquan, ZHANG Dejin, WANG Chisheng, et al. Technology and applications of dynamic and precise engineering surveying[J]. Acta Geodaetica et Cartographica Sinica, 2021, 50(9):1147-1158.DOI: 10.11947/j.AGCS.2021.20210172.
[4] MUKUPA W, ROBERTS G W, HANCOCK C M, et al. A review of the use of terrestrial laser scanning application for change detection and deformation monitoring of structures[J]. Survey Review, 2017, 49(353): 99-116.
[5] SUN W, WANG J, JIN F, et al. Datum feature extraction and deformation analysis method based on normal vector of point cloud[J].The International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 2018,XLII-3: 1601-1606.
[6] 曹诚. 深基坑工程沉降监测网稳定性分析方法及应用研究[D]. 长沙: 长沙理工大学, 2012. CAO Cheng. The stability analysis method and applied research of deposition monitoring network of deep foundation pit[D]. Changsha: Changsha University of Science & Technology, 2012.
[7] 罗力. 三峡库区滑坡监测GPS统测构网研究及应用[D]. 武汉: 武汉大学, 2013. LUO Li. The study of the landslide monitoring network reconstruction with in unified datum in the Three Gorges Reservoir area and its application[D]. Wuhan: Wuhan University, 2013.
[8] SUN Wenxiao, WANG Jian, JIN Fengxiang. An automatic coordinate unification method of multitemporal point clouds based on virtual reference datum detection[J]. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, 2020, 13: 3942-3950.
[9] XU Zhihua, XU Ershuai, WU Lixin, et al. Registration of terrestrial laser scanning surveys using terrain-invariant regions for measuring exploitative volumes over open-pit mines[J]. Remote Sensing, 2019, 11(6): 606.
[10] 周江文.名次法及拟稳点的选定[J].测绘学报,1987, 16(2):10-16. ZHOU Jiangwen. Ranking method and selection of pseudo-stable points [J]. Acta Geodaetica et Cartographica Sinica.1987, 16(2):10-16.
[11] 陶本藻.自由网拟稳平差的性质及应用[J].测绘学报,1982,11(3):163-166. TAO Benzao. The nature and application of pseudo-stable adjustment of free net[J]. Acta Geodaetica et Cartographica Sinica.1982,11(3):163-166.
[12] 张勤, 黄观文, 丁晓光, 等. 顾及板块运动、稳定性和系统偏差的高精度GPS监测基准研究与实现[J]. 地球物理学报, 2009, 52(12): 3158-3165. ZHANG Qin, HUANG Guanwen, DING Xiaoguang, et al. Research and realization of high-precision GPS datum, considering plate movement, stability and system errors[J]. Chinese Journal of Geophysics, 2009, 52(12): 3158-3165.
[13] 周江文, 欧吉坤. 名次法及拟稳点的选定[J]. 测绘学报,1987,16(2): 88-94. ZHOU Jiangwen, OU Jikun. The method of order and select of quasi-stable points[J]. Acta Geodaetica et Cartographica Sinica, 1987,16(2): 88-94.
[14] 周江文.拟稳平差理论及应用[J].中国科学院地学情报网网讯,1986(Z1):73. ZHOU Jiangwen. The theory and application of quasi-stable adjustment[J]. News from the Chinese Academy of Sciences Geoscience Information Network,1986(Z1):73.
[15] 刘烈昭,欧吉坤,刘钢.假设检验方法用于拟稳点选择[C]//拟稳平差论文集.北京:测绘出版社.1987. LIU Liezhao, OU Jikun, LIU Gang. Hypothesis testing method is used for quasi-stable point selection[C]//Proceedings of Collection of Essays on Quasi-Stable Adjustment. Beijing: Surveying and Mapping Press,1987.
[16] 刘烈昭,欧吉坤,刘钢.模糊聚类方法用于监测网的拟稳点选择[J].大地测量与地球动力学,1986(2):143-151. LIU Liezhao, OU Jikun, LIU Gang. On application of fuzzy taxonomy to the selection of quasi-stable points of a monitoring network[J]. Journal of Geodesy and Geodynamics,1986(2):143-151.
[17] 郭迎钢,李宗春,何华,等.变形监测网稳定点选取的平方型M_split相似变换法[J].测绘学报,2020,49(11):47-57. DOI: 10.11947/j.AGCS.2020.20200023. GUO Yinggang, LI Zongchun, HE Hua, et al. A squared M_split similarity transformation method for stable points selection of deformation monitoring network[J]. Acta Geodaetica et Cartographica Sinica,2020,49(11):47-57. DOI: 10.11947/j.AGCS. 2020.20200023.
[18] HEKIMOGLU S, ERDOGAN B, BUTTERWORTH S. Increasing the efficacy of the conventional deformation analysis methods: alternative strategy[J]. Journal of Surveying Engineering, 2010, 136(2): 53-62.
[19] 邱冬炜. 穿越工程影响下既有地铁隧道变形监测与分析[D]. 北京: 北京交通大学, 2012. QIU Dongwei. The deformation monitoring and analysis for existing subway tunnel under the influence of traversing gengineering[D]. Beijing: Beijing Jiaotong University, 2012.
[20] 郭献涛, 黄腾, 贾燕,等. 利用TLS技术与伪单点监测模式进行滑坡变形测量[J]. 测绘通报, 2021(6): 106-111. GUO Xiantao, HUANG Teng, JIA Yan, et al. Landslide deformation monitoring using TLS technology and pseudo-single point monitoring model[J]. Bulletin of Surveying and Mapping, 2021(6): 106-111.
[21] 华亮. 基于几何代数理论的医学图像配准研究[D].杭州:浙江工业大学,2013. HUA Liang. Medical image registration based on geometrical algebra theory[D]. Hangzhou: Zhejiang University of Technology,2013.
[22] 蒋荣华, 刘超. 一种三维激光扫描点云拟合的抗差加权整体最小二乘法[J]. 测绘通报, 2017(9): 37-41,64. JIANG Ronghua, LIU Chao. Robust weighted total least squares method for terrestrial laser scanning point cloud fitting[J].Bulletin of Surveying and Mapping,2017(9): 37-41,64.
[23] 贾雪. 顾及点云相关性的抗差加权整体最小二乘配准算法研究[D].淮南:安徽理工大学, 2019. JIA Xue. Research on robust weighted total least squares registration algorithm based on point cloud correlation[D]. Huainan: Anhui University of Science and Technology, 2019.
[24] 李峰, 王健, 刘小阳. 三维激光扫描原理与应用[M]. 北京: 地震出版社, 2020. LI Feng, WANG Jian, LIU Xiaoyang. Principle and application of three-dimensional laser scanning[M]. Beijing: Seismological Press, 2020.
[25] OTSU N. A threshold selection method from gray-level histograms[J]. IEEE Transactions on Systems, Man, and Cybernetics, 1979,9(1): 62-66.
[26] 姚志均.目标跟踪系统中的鲁棒性研究[D].武汉:华中科技大学, 2012. YAO Zhijun. Research on robustness of object tracking system[D]. Wuhan: Huazhong University of Science and Technology,2012.