A comparison study between collinearity condition, coplanarity condition, and direct linear transformation (DLT) method for camera exterior orientation parameters determination

The present work emphasizes on using collinearity condition, coplanarity condition and DLT method for determining the camera exterior orientation parameters. The derivation of the mathematical formulation based on each suggested methods is explained. The comparison of the results of the methods was...

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Main Author: Khalid L. A. El-Ashmawy
Format: Article
Language:English
Published: Vilnius Gediminas Technical University 2015-06-01
Series:Geodesy and Cartography
Subjects:
Online Access:https://journals.vgtu.lt/index.php/GAC/article/view/2837
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author Khalid L. A. El-Ashmawy
author_facet Khalid L. A. El-Ashmawy
author_sort Khalid L. A. El-Ashmawy
collection DOAJ
description The present work emphasizes on using collinearity condition, coplanarity condition and DLT method for determining the camera exterior orientation parameters. The derivation of the mathematical formulation based on each suggested methods is explained. The comparison of the results of the methods was performed based on accuracy aspects using mathematical and actual photogrammetric data. The used data shows that the suggested methods are suitable for camera exterior orientation parameters determination for a block of photographs of any size. The results of this investigation prove that the accuracy of using coplanarity equations is slightly better than using collinearity equations or DLT method. Although the results of the DLT method are less accurate than those of using collinearity or coplanarity equation, DLT method is essential when the necessary information for the collinearity or coplanarity model is not available. This paper shows the necessity for the mathematical photogrammetric data for testing the photogrammetric studies.
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spelling doaj.art-19ede8bd28684fa2bf3ee3ab125c52542022-12-21T20:18:37ZengVilnius Gediminas Technical UniversityGeodesy and Cartography2029-69912029-70092015-06-0141210.3846/20296991.2015.1051335A comparison study between collinearity condition, coplanarity condition, and direct linear transformation (DLT) method for camera exterior orientation parameters determinationKhalid L. A. El-Ashmawy0Department of Civil Engineering, Al-Matria Faculty of Engineering, Helwan University Matria, 11718 Cairo, EGYPT; Department of Civil Engineering, College of Engineering and Islamic Architecture, Umm Al-Qura University, Makkah, Saudi ArabiaThe present work emphasizes on using collinearity condition, coplanarity condition and DLT method for determining the camera exterior orientation parameters. The derivation of the mathematical formulation based on each suggested methods is explained. The comparison of the results of the methods was performed based on accuracy aspects using mathematical and actual photogrammetric data. The used data shows that the suggested methods are suitable for camera exterior orientation parameters determination for a block of photographs of any size. The results of this investigation prove that the accuracy of using coplanarity equations is slightly better than using collinearity equations or DLT method. Although the results of the DLT method are less accurate than those of using collinearity or coplanarity equation, DLT method is essential when the necessary information for the collinearity or coplanarity model is not available. This paper shows the necessity for the mathematical photogrammetric data for testing the photogrammetric studies.https://journals.vgtu.lt/index.php/GAC/article/view/2837collinearity conditioncoplanarity conditionDLT methodcamera exterior orientationmathematical photogrammetric data
spellingShingle Khalid L. A. El-Ashmawy
A comparison study between collinearity condition, coplanarity condition, and direct linear transformation (DLT) method for camera exterior orientation parameters determination
Geodesy and Cartography
collinearity condition
coplanarity condition
DLT method
camera exterior orientation
mathematical photogrammetric data
title A comparison study between collinearity condition, coplanarity condition, and direct linear transformation (DLT) method for camera exterior orientation parameters determination
title_full A comparison study between collinearity condition, coplanarity condition, and direct linear transformation (DLT) method for camera exterior orientation parameters determination
title_fullStr A comparison study between collinearity condition, coplanarity condition, and direct linear transformation (DLT) method for camera exterior orientation parameters determination
title_full_unstemmed A comparison study between collinearity condition, coplanarity condition, and direct linear transformation (DLT) method for camera exterior orientation parameters determination
title_short A comparison study between collinearity condition, coplanarity condition, and direct linear transformation (DLT) method for camera exterior orientation parameters determination
title_sort comparison study between collinearity condition coplanarity condition and direct linear transformation dlt method for camera exterior orientation parameters determination
topic collinearity condition
coplanarity condition
DLT method
camera exterior orientation
mathematical photogrammetric data
url https://journals.vgtu.lt/index.php/GAC/article/view/2837
work_keys_str_mv AT khalidlaelashmawy acomparisonstudybetweencollinearityconditioncoplanarityconditionanddirectlineartransformationdltmethodforcameraexteriororientationparametersdetermination
AT khalidlaelashmawy comparisonstudybetweencollinearityconditioncoplanarityconditionanddirectlineartransformationdltmethodforcameraexteriororientationparametersdetermination