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Rapid Assessment of the Verticality of Structural Objects with a Circular Base

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Advanced Technologies, Systems, and Applications VI (IAT 2021)

Abstract

Structural health monitoring represents an important task that involves various measurements and methods. Due to its importance, it uses the best available equipment and the most advanced algorithms to give precise and reliable information about an object's health. For tall objects such as chimneys, towers, and masts the main criterion of stability is verticality deviation (inclination). However, sometimes it is necessary to get a rapid assessment of an object’s stability and in that case, accuracy and reliability are sacrificed to save time. In this paper, an approach for rapid assessment of verticality of structural objects with a circular base is presented. Geodetic methods were used to measure points in two levels on the perimeter of the object. Three algebraic methods for circle fitting were used to determine the center coordinates and radius of the object in the two observed cross-sections. The final step was to determine the spatial vector which represents the object’s axis and compare it to the theoretical vertical. The proposed approach is fast, simple, and inexpensive in terms of equipment, human resources, and software necessary for data processing but at the same time, it is less accurate and reliable compared to the state of the art approaches for object verticality assessment.

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References

  1. Kijanka, M., Kowalska, M.: Inclined buildings–Some reasons and solutions. IOP Conf. Ser. Mater. Sci. Eng. 245(2), 022052 (2017)

    Google Scholar 

  2. Kregar, K., Ambrožič, T., Kogoj, D., Marjetič, A.: Determining the inclination of tall chimneys using the TPS and TLS approach. Measurement 75, 354–363 (2015)

    Article  Google Scholar 

  3. Barazzetti, L., Previtali, M., Roncoroni, F.: The use of terrestrial laser scanning techniques to evaluate industrial masonry chimney verticality. Int. Arch. Photogrammetry Remote Sens. Spatial Inf. Sci. XLII-2, 173 (2019)

    Google Scholar 

  4. Zrinjski, M., Tupek, A., Barković, Ð., Polović, A., Novosel, T., Vidoš, M.: Determination and analysis of chimney inclination. INGEO SIG 2020, 155 (2020)

    Google Scholar 

  5. Markiewicz, J., Zawieska, D., Podlasiak, P.: Comparing multi-source photogrammetric data during the examination of verticality in a Monumental tower. The Int. Arch. Photogrammetry Remote Sens. Spatial Inf. Sci. 42, 475 (2017)

    Article  Google Scholar 

  6. Harshit, S.L., Jain, K., Mishra, V.: Analysis of survey approach using UAV images and lidar for a Chimney study. J. Indian Soc. Remote Sens. 49(3), 1–6 (2020)

    Google Scholar 

  7. Muszynski, Z., Milczarek, W.: Application of terrestrial laser scanning to study the geometry of slender objects. IOP Conf. Ser. Earth Environ. Sci. 95(4), 042069 (2017)

    Article  Google Scholar 

  8. Al-Sharadqah, A., Chernov, N.: Error analysis for circle fitting algorithms. Electron. J. Stat. 3, 886–911 (2009)

    Article  MathSciNet  Google Scholar 

  9. Chernov, N.: Circular and Linear Regression: Fitting Circles and Lines by Least Squares. CRC Press, Boca Raton (2010)

    Book  Google Scholar 

  10. Kåsa, I.: A circle fitting procedure and its error analysis. IEEE Trans. Instrum. Meas. 1, 8–14 (1976)

    Article  Google Scholar 

  11. Pratt, V.: Direct least-squares fitting of algebraic surfaces. ACM SIGGRAPH Comput. Graph. 21(4), 145–152 (1987)

    Article  MathSciNet  Google Scholar 

  12. Taubin, G.: Estimation of planar curves, surfaces, and nonplanar space curves defined by implicit equations with applications to edge and range image segmentation. IEEE Comput. Archit. Lett. 13(11), 1115–1138 (1991)

    Google Scholar 

  13. Cristian, O.N.U., Asachi, G.: Geodesy and algorithm method for determining the geometrical axes inclination of tall buildings, with circular sections. J. Geodesy Cadastre RevCAD 11, 179–186 (2011)

    Google Scholar 

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Hamzić, A., Kamber Hamzić, D., Avdagić, Z. (2022). Rapid Assessment of the Verticality of Structural Objects with a Circular Base. In: Ademović, N., Mujčić, E., Akšamija, Z., Kevrić, J., Avdaković, S., Volić, I. (eds) Advanced Technologies, Systems, and Applications VI. IAT 2021. Lecture Notes in Networks and Systems, vol 316. Springer, Cham. https://doi.org/10.1007/978-3-030-90055-7_41

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