A Method for the Precise Coordinate Determination of an Inaccessible Location

Surveyors are occasionally tasked to with determining the coordinates of inaccessible locations or points in civil engineering applications, ground control points for photogrammetry or LiDAR data acquisition, among others. The present work outlines and investigates a novel method for estimating the...

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Main Authors: Edward Osada, Magdalena Owczarek-Wesołowska, Krzysztof Karsznia, Kazimierz Becek, Zbigniew Muszyński
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/23/19/8199
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author Edward Osada
Magdalena Owczarek-Wesołowska
Krzysztof Karsznia
Kazimierz Becek
Zbigniew Muszyński
author_facet Edward Osada
Magdalena Owczarek-Wesołowska
Krzysztof Karsznia
Kazimierz Becek
Zbigniew Muszyński
author_sort Edward Osada
collection DOAJ
description Surveyors are occasionally tasked to with determining the coordinates of inaccessible locations or points in civil engineering applications, ground control points for photogrammetry or LiDAR data acquisition, among others. The present work outlines and investigates a novel method for estimating the GNSS coordinates of an inaccessible location where a surveying instrument cannot be set up. The procedure is based on the well-known surveying intersection method and data extracted from an Earth Gravity Model (e.g., EGM 2008). The location’s coordinates are obtained from the least-squares adjustment of the angles and distances measured from at least two sites to the unknown point using a total station, within the framework of the Gauss–Helmert method. Field tests confirmed that the accuracy of the determined coordinates of the inaccessible point is at the level of 1 cm. The proposed method bypasses standard coordinate transformation steps performed with the traditional approach, directly producing geocentric coordinates of the unknown points.
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spelling doaj.art-3c143356d9f14aed85b318e6a52ab7b92023-11-19T15:04:08ZengMDPI AGSensors1424-82202023-09-012319819910.3390/s23198199A Method for the Precise Coordinate Determination of an Inaccessible LocationEdward Osada0Magdalena Owczarek-Wesołowska1Krzysztof Karsznia2Kazimierz Becek3Zbigniew Muszyński4Faculty of Applied Studies, University of Lower Silesia, 53-611 Wroclaw, PolandFaculty of Environmental Engineering and Geodesy, Wroclaw University of Environmental and Life Sciences, 50-355 Wroclaw, PolandFaculty of Geodesy and Cartography, Warsaw University of Technology, 00-661 Warsaw, PolandFaculty of Geoengineering, Mining and Geology, Wroclaw University of Science and Technology, 50-421 Wroclaw, PolandFaculty of Geoengineering, Mining and Geology, Wroclaw University of Science and Technology, 50-421 Wroclaw, PolandSurveyors are occasionally tasked to with determining the coordinates of inaccessible locations or points in civil engineering applications, ground control points for photogrammetry or LiDAR data acquisition, among others. The present work outlines and investigates a novel method for estimating the GNSS coordinates of an inaccessible location where a surveying instrument cannot be set up. The procedure is based on the well-known surveying intersection method and data extracted from an Earth Gravity Model (e.g., EGM 2008). The location’s coordinates are obtained from the least-squares adjustment of the angles and distances measured from at least two sites to the unknown point using a total station, within the framework of the Gauss–Helmert method. Field tests confirmed that the accuracy of the determined coordinates of the inaccessible point is at the level of 1 cm. The proposed method bypasses standard coordinate transformation steps performed with the traditional approach, directly producing geocentric coordinates of the unknown points.https://www.mdpi.com/1424-8220/23/19/8199intersection methodinaccessible pointgeocentric coordinatesEarth Gravity Modeldeflection of the verticalGauss–Helmert method
spellingShingle Edward Osada
Magdalena Owczarek-Wesołowska
Krzysztof Karsznia
Kazimierz Becek
Zbigniew Muszyński
A Method for the Precise Coordinate Determination of an Inaccessible Location
Sensors
intersection method
inaccessible point
geocentric coordinates
Earth Gravity Model
deflection of the vertical
Gauss–Helmert method
title A Method for the Precise Coordinate Determination of an Inaccessible Location
title_full A Method for the Precise Coordinate Determination of an Inaccessible Location
title_fullStr A Method for the Precise Coordinate Determination of an Inaccessible Location
title_full_unstemmed A Method for the Precise Coordinate Determination of an Inaccessible Location
title_short A Method for the Precise Coordinate Determination of an Inaccessible Location
title_sort method for the precise coordinate determination of an inaccessible location
topic intersection method
inaccessible point
geocentric coordinates
Earth Gravity Model
deflection of the vertical
Gauss–Helmert method
url https://www.mdpi.com/1424-8220/23/19/8199
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