The Ellipse of Position Error

The uncertainty of the measured points (positions) takes a prominent place in many of the researches that concern the surveying and geomatics issues. The definition of the shape and the orientation of ellipse of position error for the points were the main subjects of those works. However, two method...

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Main Author: Mohammed Anwer Jassim
Format: Article
Language:English
Published: Salahaddin University-Erbil 2019-10-01
Series:Zanco Journal of Pure and Applied Sciences
Subjects:
Online Access:https://zancojournals.su.edu.krd/index.php/JPAS/article/view/3257
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author Mohammed Anwer Jassim
author_facet Mohammed Anwer Jassim
author_sort Mohammed Anwer Jassim
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description The uncertainty of the measured points (positions) takes a prominent place in many of the researches that concern the surveying and geomatics issues. The definition of the shape and the orientation of ellipse of position error for the points were the main subjects of those works. However, two methods are mostly used for calculating the size, and the direction of the error ellipse. First one involves the two dimensional rotation issue, and the second concerns the eigenvalues problem. The basic idea behind this research is to evaluate these methods (mentioned above) according to the validation of the obtained results and highlight the effect of the coordinate’s correlation on the size and the direction of the ellipse of position error.
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spelling doaj.art-fdd70a15279941eeabcb928dfd4bad772022-12-22T02:01:03ZengSalahaddin University-ErbilZanco Journal of Pure and Applied Sciences2218-02302412-39862019-10-0131s343744110.21271/ZJPAS.31.s3.63The Ellipse of Position ErrorMohammed Anwer Jassim0Department of Geomatics (Surveying), College of Engineering,Salahaddin University-Erbil, Kurdistan Region, IraqThe uncertainty of the measured points (positions) takes a prominent place in many of the researches that concern the surveying and geomatics issues. The definition of the shape and the orientation of ellipse of position error for the points were the main subjects of those works. However, two methods are mostly used for calculating the size, and the direction of the error ellipse. First one involves the two dimensional rotation issue, and the second concerns the eigenvalues problem. The basic idea behind this research is to evaluate these methods (mentioned above) according to the validation of the obtained results and highlight the effect of the coordinate’s correlation on the size and the direction of the ellipse of position error.https://zancojournals.su.edu.krd/index.php/JPAS/article/view/3257Semi-major axis; Semi-minor axis; Coordinate’s correlation; Eigenvalue and eigendirection.
spellingShingle Mohammed Anwer Jassim
The Ellipse of Position Error
Zanco Journal of Pure and Applied Sciences
Semi-major axis; Semi-minor axis; Coordinate’s correlation; Eigenvalue and eigendirection.
title The Ellipse of Position Error
title_full The Ellipse of Position Error
title_fullStr The Ellipse of Position Error
title_full_unstemmed The Ellipse of Position Error
title_short The Ellipse of Position Error
title_sort ellipse of position error
topic Semi-major axis; Semi-minor axis; Coordinate’s correlation; Eigenvalue and eigendirection.
url https://zancojournals.su.edu.krd/index.php/JPAS/article/view/3257
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