结构曲面点云的空间连续变形研究

IF 1.2 Q4 REMOTE SENSING Journal of Applied Geodesy Pub Date : 2023-01-10 DOI:10.1515/jag-2022-0038
Elisabeth Ötsch, C. Harmening, H. Neuner
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引用次数: 0

摘要

从点云估计空间连续变形的一种方法是基于参数的近似曲面的历元比较。该程序允许对估计变形进行统计评估。通常,整体几何模型近似于扫描表面。关于这一点,出现了一个问题,即由例如砖块或混凝土块引起的物体表面的不连续性如何影响近似连续表面的参数,进而影响导出的变形。这个问题将在以下文件中讨论。B样条曲面用于近似扫描的点云。近似意味着求解高斯-马尔可夫模型,从而考虑测量的随机特性,并将其传播到曲面的控制点上。基于这些估计的控制点,可以对两个B样条曲面进行参数比较。这种方法有利于将空间连续变形分析转变为基于点的任务,从而确保了已建立的一致性模型的适用性。通过对熟料立面的地面激光扫描,研究了结构几何形状对表面控制点的影响。使用自己开发的分割方法消除关节中测量的点。B样条近似和后续变形分析的分段和非分段激光扫描结果的比较提供了有关结构相关影响的信息。本文以渡槽圆弧为测量对象。为了进行预期的比较,分析了包含机械载荷变化可能产生的影响的数据集。
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Investigation of space-continuous deformation from point clouds of structured surfaces
Abstract One approach to estimate space-continuous deformation from point clouds is the parameter-based epochal comparison of approximating surfaces. This procedure allows a statistical assessment of the estimated deformations. Typically, holistic geometric models approximate the scanned surfaces. Regarding this, the question arises on how discontinuities of the object’s surface resulting from e.g. single bricks or concrete blocks, influence the parameters of the approximating continuous surfaces and in further consequence the derived deformation. This issue is tackled in the following paper. B-spline surfaces are used to approximate the scanned point clouds. The approximation implies solving a Gauss–Markov-Model, thus allowing accounting for the measurements’ stochastic properties as well as propagating them on the surfaces’ control points. A parametric comparison of two B-spline surfaces can be made on the basis of these estimated control points. This approach is advantageous with regard to the transition of the space-continuous deformation analysis to a point-based task, thus ensuring the applicability of the well-established congruency model. The influence of the structure’s geometry on the surfaces’ control points is investigated using terrestrial laser scans of a clinker facade. Points measured in the joints are eliminated using an own developed segmentation approach. A comparison of the results obtained from segmented as well as from unsegmented laser scans for the B-spline approximation and the subsequent deformation analysis provides information about the structure-related influence. An aqueduct arc is used as measuring object in this study. For the intended comparison, data sets, which contain possible influences due to changes of the mechanical loads, are analysed.
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来源期刊
Journal of Applied Geodesy
Journal of Applied Geodesy REMOTE SENSING-
CiteScore
2.30
自引率
7.10%
发文量
30
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