Determining the Deformation Monitorable Indicator of Point Cloud Using Error Ellipsoid

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RESEARCH ARTICLE

Determining the Deformation Monitorable Indicator of Point Cloud Using Error Ellipsoid Wei Xuan 1 & Xianghong Hua 1,2 & Jingui Zou 1,2 & Xiaoxing He 1,3

Received: 13 January 2016 / Accepted: 29 March 2016 # Indian Society of Remote Sensing 2016

Abstract As the development of the terrestrial laser scanning (TLS) technique, deformation monitoring using TLS has attracted increasing attention in the field. To distinguish the deformation from the error of TLS point cloud and evaluate the deformation monitorable capacity of the point cloud, a deformation monitorable indicator (DMI) should be determined. In this paper, a new method for determining the DMI of point cloud is proposed. The kernel procedure of the method is the establishment of point error ellipsoid and point cloud error ellipsoid and is described firstly in the paper. Then the computation of the actual point error ellipsoid is derived considering the intersection between the neighboring error ellipsoids. The determination of DMI comes in the next by calculating the point position error of the deformation orientation based on the actual point error ellipsoid. Furthermore, the performance of proposed approach is illustrated with validation experiments of planar board displacement where deformations with different sampling

Electronic supplementary material The online version of this article (doi:10.1007/s12524-016-0580-7) contains supplementary material, which is available to authorized users. * Xianghong Hua [email protected]

1

School of Geodesy & Geomatics, Wuhan University, 129 Luoyu Road, Wuhan 430079, China

2

Collaborative Innovation Center for Geospatial Technology, 129 Luoyu Road, Wuhan 430079, China

3

School of Civil Engineer and Architecture, East China Jiao Tong University, 808 Eastern Shuanggang Road, Nanchang 330013, China

intervals, different scanning distances and different incidence angles were simulated. From the analysis of the experiments, the results show the validation of the feasibility of determining the DMI by the proposed method. This technique was also applied to a monitoring event of bridge pylon, and the results confirm the feasibility of the DMI in a real case, as well. Keywords Error ellipsoid . Position error . Deformation detection . Deformation monitorable indicator

Introduction In recent years, terrestrial laser scanning (TLS) has attracted increasing attention from various fields, such as topographic survey (Armesto et al. 2009), recording of culture heritage (Grussenmeyer et al. 2011), as building surveying (Tang et al. 2010) and deformation monitoring (Abellán et al. 2014), since it started to mature as a surveying methodology. Deformation monitoring using TLS offers an opportunity to rapidly acquire dense 3D point data over an entire deformed object or surface, and the deformation can be computed by comparing the point clouds of the same object or surface at different epochs. So far, some cases about the application of TLS in the deformation monitoring field have been studied, which are broadl