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Building 3D surfaces of land storage vertical cylindrical steel tank using bicubic spline interpolation

    Kostyantyn Burak Affiliation
    ; Vitaliy Kovtun Affiliation
    ; Mary Nychvyd Affiliation

Abstract

The purpose of this work is to increase the accuracy, quality and information content of geodetic surveys of vertical steel tanks by using modern geodetic equipment and creating algorithms for data processing of these observations. Method. In order to increase the information content of data for straightening, it is proposed to calculate the geometric parameters of vertical steel tanks not only in places where data are directly obtained through instrumental observations, but also at any point of the 3D surface of the tank. The paper describes an algorithm for creating a 3D surface of a tank by bicubic spline interpolation (BSI). Results on the basis of the conducted research, it was established that the developed algorithm could be used and the 3D-surface spatial coordinates were determined. The method of determining the geometric parameters of vertical steel tanks by using BSI is improved. Scientific novelty and practical significance. Bicubic spline interpolation (BSI) was used for the first time. It greatly increases the accuracy and informality of the results of the control. The practical significance is confirmed by the control of the geometric parameters of a vertical cylindrical steel tank with a nominal capacity of 75.000 m3 with a floating roof and a double wall of the LODS “Brody” company.

Keyword : bicubic spline interpolation, 3D surface, vertical steel tank, geodetic control

How to Cite
Burak, K., Kovtun, V., & Nychvyd, M. (2019). Building 3D surfaces of land storage vertical cylindrical steel tank using bicubic spline interpolation. Geodesy and Cartography, 45(2), 85-91. https://doi.org/10.3846/gac.2019.6301
Published in Issue
Sep 3, 2019
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This work is licensed under a Creative Commons Attribution 4.0 International License.

References

Alberg, J., Nilson, E., & Walsh, J. (1972). Spline theory and its applications. Moscow: Mir.

Burak, K., Kovtun, V., Levitskiy, R., & Nychvyd, M. (2014). Investagation the characteristic and the accuracy of DTM construction using bicubic spline interpolation. Modern Achievements in Geodetic Science and Industry, 2, 32-36. Retrieved from http://nbuv.gov.ua/j-pdf/sdgn_2014_2_9.pdf

Burak, K., Kovtun, V., & Levitskiy, R. (2015). Determination of the density of a bicubic spline interpolation regular grid when creating DEM. Modern Achievements in Geodetic Science and Industry, 1, 133-139. Retrieved from http://nbuv.gov.ua/UJRN/sdgn_2015_1_34

DSTU-NBA.3.1-10:2008 FAT. (2008). Guidelines for the technical diagnosis of vertical steel tanks. Retrieved from https://issuu.com/igel99778/docs/dstu-n_b_a_3_1-10_2008__instrukciya

GOST 8.570-2000. (2000). State system for ensuring uniformity of measurements. Steel vertical cylindrical tanks. Method of verification. Retrieved from https://internet-law.ru/gosts/gost/6533/

Komissarov, Seredovich, A. V., & Ivanova, A. V. (2006). Method of determining the geometric characteristics of steel cylindrical tanks with the introduction of laser scanning. Interexpo Geo-Siberia, 1, 221-225.

Kvass, B. I. (2006). Methods of isogeometric approximation by splines. Moscow: FIZMATLIT.

Larichev, V. A., Lesonen, D. N., Maksimov, G. A., Podgyachev, E. V., & Derov, A. V. (2010). About the approach to three-dimensional mathematical modeling of a complex geological environment with gaps for visualization and solving direct and inverse problems of geophysics. Scientific Visualization, 2(2), 20-33.

Rovenski, V. (2010). Modeling of curves and surfaces with MAT-LAB. New York: Springer-Verlag. https://doi.org/10.1007/978-0-387-71278-9

Samoilenko, A. N., & Zaets, V. V. (2007). Raising the accuracy in determining the geometrical parameters and calibration of vertical cylindrical vessels on checking. Measurement Techniques, 50(3), 266-271. https://doi.org/10.1007/s11018-007-0059-6

Seredovich, A. V., & Ivanov, A. V. (2006). Development of methods for determining the geometric parameters of the RVS based on laser scanning data. Interexpo Geo-Siberia, 2, 160-164.

Shikin, E. V., & Plis, L. I. (1996). Curved surfaces on the computer screen. Spline user guide. Moscow: DIALOG-MEPI. SUC 60.3.31570412:2010. (2010). The main oil pipelines. Oil pumping station, sea terminals, technical inspection, expert inspection of process equipment and pipelines. Methods and techniques.

Tarasenko, M. I., & Tishchenko, A. (2009). Method of determining the technical parameters of electronic tachometers when operating in non-reflective mode. Geodesy, Cartography and Aerial Photography: an Interdepartmental Scientific and Technical Collection, 72, 54-61.

Trevogo, I. S., Ilkiv, E. U., & Kukhtar, D. V. (2013). Optimization of the use of film reflectors for monitoring deformations of engineering structures. Geodesy, Cartography and Aerial Photography: Interdepartmental Scientific and Technical Collection, 78, 146-148.

Zavyalov, Yu. S., Kvasov, B. I., & Miroshnichenko, V. L. (1980). Methods of spline functions. Moscow: Science.