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This research paper tackles the problem of determining displacements of complex-shaped shell structures, measured periodically using laser scanning. Point clouds obtained during different measurement epochs can be compared with each other directly or they can be converted into continuous models in the form of a triangle mesh or smooth patches (spline functions). The accuracy of the direct comparison of point clouds depends on the scanning density, while the accuracy of comparing the point cloud to the model depends on approximation errors that are formed during its creation. Modelling using triangle meshes flattens the local structure of the object compared to the spline model. However, if the shell has edges in its structure, their exact representation by spline models is impossible due to the undulations of functions along them. Edges can also be distorted by the mesh model by their chamfering with transverse triangles. These types of surface modelling errors can lead to the generation of pseudo-deformation of the structure, which is difficult to distinguish from real deformation. In order to assess the possibility of correct determination of deformation using the above-mentioned methods, laser scanning of a complex shell structure in two epochs was performed. Then, modelling and comparison of the results of periodic measurements were carried out. As a result of the research, advantages and disadvantages of each method were identified. It was noticed that none of the methods made it possible to correctly represent all deformations while suppressing pseudo-deformation. However, the combination of their best qualities made it possible to determine the actual deformation of the structure.
Czasopismo
Rocznik
Tom
Strony
27--33
Opis fizyczny
Bibliogr. 21 poz., rys., tab.
Twórcy
autor
- Faculty of Mining Surveying and Environmental Engineering, AGH University of Science and Technology, grzenda@agh.edu.pl
autor
- Faculty of Mining Surveying and Environmental Engineering, AGH University of Science and Technology, al. Mickiewicza 30, 30-059 Kraków, Poland
Bibliografia
- [1] Antova, G. (2019). Application of areal change detection methods using point clouds data. In IOP Conference Series: Earth and Environmental Science, volume 221, page 012082. IOP Publishing, doi:10.1088/1755-1315/221/1/012082.
- [2] Attene, M., Campen, M., and Kobbelt, L. (2013). Polygon mesh repairing: An application perspective. ACM Computing Surveys (CSUR), 45(2):1–33, doi:10.1145/2431211.2431214.
- [3] Boissonnat, J.-D. and Cazals, F. (2002). Smooth surface reconstruction via natural neighbour interpolation of distance functions. Computational Geometry, 22(1–3):185–203, doi:10.1016/S0925-7721(01)00048-7.
- [4] Botsch, M., Kobbelt, L., Pauly, M., Alliez, P., and Lévy, B. (2010). Polygon mesh processing. CRC press.
- [5] Brujic, D., Ainsworth, I., and Ristic, M. (2011). Fast and accurate NURBS fitting for reverse engineering. The International Journal of Advanced Manufacturing Technology, 54(5–8):691–700, doi:10.1007/s00170-010-2947-1.
- [6] De Loera, J., Rambau, J., and Santos, F. (2010). Triangulations: structures for algorithms and applications, volume 25. Springer Science & Business Media.
- [7] Farin, G. E. and Farin, G. (2002). Curves and surfaces for CAGD: a practical guide. San Francisco: Academic Morgan Kaufmann Publishers.
- [8] Jafari, B. M. (2016). Deflection measurement through 3D point cloud analysis. Master's thesis, Civil and Infrastructure Engineering, George Mason University, Fairfax.
- [9] Javaheri, A., Brites, C., Pereira, F., and Ascenso, J. (2020). A generalized Hausdorff distance based quality metric for point cloud geometry. In 12th International Conference on Quality of Multimedia Experience (QoMEX), pages 1–6. IEEE, doi:10.1109/QoMEX48832.2020.9123087.
- [10] Kiciak, P. (2019). Podstawy modelowania krzywych i powierzchni: zastosowania w grafice komputerowej. Wydawnictwa Naukowo-Techniczne, Warszawa.
- [11] Lin, H., Chen, W., and Bao, H. (2007). Adaptive patch-based mesh fitting for reverse engineering. Computer-Aided Design, 39(12):1134–1142, doi:10.1016/j.cad.2007.10.002.
- [12] Neuner, H., Holst, C., and Kuhlmann, H. (2016). Overview on current modelling strategies of point clouds for deformation analysis. Allgem. Verm. Nachr., 123(11–12):328–339.
- [13] Park, H. and Lee, D. (2019). Comparison between point cloud and mesh models using images from an unmanned aerial vehicle. Measurement, 138:461–466, doi:10.1016/j.measurement.2019.02.023.
- [14] Piegl, L. and Tiller, W. (2012). The NURBS book. Berlin. Springer.
- [15] Remondino, F. (2003). From point cloud to surface: the modeling and visualization problem. International Archives of the Photogrammetry, Remote Sensing and Spatial Information Sciences, 34, doi:10.3929/ethz-a-004655782.
- [16] Urbach, D., Ben-Shabat, Y., and Lindenbaum, M. (2020). DPDist: Comparing point clouds using deep point cloud distance. In Computer Vision–ECCV 2020: 16th European Conference, Glasgow, UK, August 23–28, 2020, Proceedings, Part XI 16, pages 545–560. Springer, doi:10.1007/978-3-030-58621-8_32.
- [17] Vanneschi, C., Eyre, M., Francioni, M., and Coggan, J. (2017). The use of remote sensing techniques for monitoring and characterization of slope instability. Procedia Engineering, 191:150–157, doi:10.1016/j.proeng.2017.05.166.
- [18] Wang, W., Zhang, Y., Scott, M. A., and Hughes, T. J. (2011). Converting an unstructured quadrilateral mesh to a standard T-spline surface. Computational Mechanics, 48(4):477–498, doi:10.1007/s00466-011-0598-1.
- [19] Wongwaen, N., Tiendee, S., and Sinthanayothin, C. (2012). Method of 3D mesh reconstruction from point cloud using elementary vector and geometry analysis. In 2012 8th International Conference on Information Science and Digital Content Technology (ICIDT2012), volume 1, pages 156–159.
- [20] Zhang, L., Zhou, R., Zhu, J., and Wu, X. (2002). Piece-wise B-spline Surfaces Fitting to Arbitrary Triangle Meshes. CIRP Annals, 51(1):131–134, doi:https://doi.org/10.1016/S0007-8506(07)61483-8.
- [21] Zhang, S., Li, Z., Zhang, H., and Yong, J. (2011). Multi-resolution mesh fitting by B-spline surfaces for reverse engineering. In 2011 12th International Conference on Computer-Aided Design and Computer Graphics, pages 251–257. doi:10.1109/CAD/Graphics.2011.65.
Typ dokumentu
Bibliografia
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