Laser Scanner-Based Deformation Analysis Using Approximating B-Spline Surfaces
Laser Scanner-Based Deformation Analysis Using Approximating B-Spline Surfaces
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DOI：
10.3390/rs13183551
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发表时间：
2021-09
期刊：
影响因子：
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通讯作者：
C. Harmening;Christoph Hobmaier;H. Neuner
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文献类型：
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作者：
C. Harmening;Christoph Hobmaier;H. Neuner
由于在大地测量任务中越来越多地使用区域测量技术，如激光扫描，区域分析战略在过去十年中变得越来越重要。虽然在文献中已经提出了各种准连续模型变形的方法，但仍然存在许多挑战需要解决。工程大地测量在监测任务中的主要兴趣之一是相对于稳定参考系的绝对畸变的检测。确定变形和同时建立联合大地基准可以通过对不同测量时期获得的点云之间的差异进行建模来实现，所述点云通过由变形叠加的刚体运动来获得。在以前的研究中，我们讨论了估计这些刚体运动的可能性，从控制点的B样条曲面近似所获得的点云。或者，我们专注于估计他们的构造点的B样条曲面在这项研究中。与基于控制点的策略相比，该策略具有更大的冗余度。此外，引入的策略允许检测不同时期的点云之间的刚体运动，并同时定位的区域，其中刚体运动被扭曲叠加。所开发的方法是基于B样条模型的时代明智的收购点云，其表面参数定义点对应不同的B样条表面。使用这些点的对应关系，一个RANSAC的方法是用来鲁棒地估计刚体运动的参数。由此产生的共识集最初定义了被调查对象的非失真区域，在第二步中扩展并统计验证。所开发的方法应用于模拟数据集，揭示了可以可靠地检测到扭曲的区域，并且通过该策略可以精确地确定刚体运动的参数。
Due to the increased use of areal measurement techniques, such as laser scanning in geodetic monitoring tasks, areal analysis strategies have considerably gained in importance over the last decade. Although a variety of approaches that quasi-continuously model deformations are already proposed in the literature, there are still a multitude of challenges to solve. One of the major interests of engineering geodesy within monitoring tasks is the detection of absolute distortions with respect to a stable reference frame. Determining distortions and simultaneously establishing the joint geodetic datum can be realised by modelling the differences between point clouds acquired in different measuring epochs by means of a rigid body movement that is superimposed by distortions. In a previous study, we discussed the possibility of estimating these rigid body movements from the control points of B-spline surfaces approximating the acquired point clouds. Alternatively, we focus on estimating them by means of constructed points on B-spline surfaces in this study. This strategy has the advantage of larger redundancy compared to the control point–based strategy. Furthermore, the strategy introduced allows for the detection of rigid body movements between point clouds of different epochs and for the simultaneous localisation of areas in which the rigid body movement is superimposed by distortions. The developed approach is based on B-spline models of epoch-wise acquired point clouds, the surface parameters of which define point correspondences on different B-spline surfaces. Using these point correspondences, a RANSAC-approach is used to robustly estimate the parameters of the rigid body movement. The resulting consensus set initially defines the non-distorted areas of the object under investigation, which are extended and statistically verified in a second step. The developed approach is applied to simulated data sets, revealing that distorted areas can be reliably detected and that the parameters of the rigid body movement can be precisely and accurately determined by means of the strategy.