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

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 str...

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Main Authors: Kostyantyn Burak, Vitaliy Kovtun, Mary Nychvyd
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2019-09-01
Series:Geodesy and Cartography
Subjects:
Online Access:https://journals.vgtu.lt/index.php/GAC/article/view/6301
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author Kostyantyn Burak
Vitaliy Kovtun
Mary Nychvyd
author_facet Kostyantyn Burak
Vitaliy Kovtun
Mary Nychvyd
author_sort Kostyantyn Burak
collection DOAJ
description 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.
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spelling doaj.art-9aa3209e62ed4b3e99c894c7d236969d2022-12-21T20:20:49ZengVilnius Gediminas Technical UniversityGeodesy and Cartography2029-69912029-70092019-09-0145210.3846/gac.2019.6301Building 3D surfaces of land storage vertical cylindrical steel tank using bicubic spline interpolationKostyantyn Burak0Vitaliy Kovtun1Mary Nychvyd2Ivano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, UkraineIvano-Frankivsk National Technical University of Oil and Gas, Ivano-Frankivsk, UkraineUzhgorod National University, Uzhgorod, UkraineThe 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.https://journals.vgtu.lt/index.php/GAC/article/view/6301bicubic spline interpolation3D surfacevertical steel tankgeodetic control
spellingShingle Kostyantyn Burak
Vitaliy Kovtun
Mary Nychvyd
Building 3D surfaces of land storage vertical cylindrical steel tank using bicubic spline interpolation
Geodesy and Cartography
bicubic spline interpolation
3D surface
vertical steel tank
geodetic control
title Building 3D surfaces of land storage vertical cylindrical steel tank using bicubic spline interpolation
title_full Building 3D surfaces of land storage vertical cylindrical steel tank using bicubic spline interpolation
title_fullStr Building 3D surfaces of land storage vertical cylindrical steel tank using bicubic spline interpolation
title_full_unstemmed Building 3D surfaces of land storage vertical cylindrical steel tank using bicubic spline interpolation
title_short Building 3D surfaces of land storage vertical cylindrical steel tank using bicubic spline interpolation
title_sort building 3d surfaces of land storage vertical cylindrical steel tank using bicubic spline interpolation
topic bicubic spline interpolation
3D surface
vertical steel tank
geodetic control
url https://journals.vgtu.lt/index.php/GAC/article/view/6301
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AT vitaliykovtun building3dsurfacesoflandstorageverticalcylindricalsteeltankusingbicubicsplineinterpolation
AT marynychvyd building3dsurfacesoflandstorageverticalcylindricalsteeltankusingbicubicsplineinterpolation