Optimal Vertical Placement of Total Station
Publication: Journal of Surveying Engineering
Volume 144, Issue 3
Abstract
When using the free station method, a total station (TS) is established by performing distance and angle observations toward a number of control points (CPs). The quality of the establishment is crucial for the quality of subsequent measurements. The optimal horizontal location of the TS has been investigated in previous studies. The vertical precision also is important in many applications, especially with significant height variations. Therefore, this study focused on the optimality of the vertical location of the TS. The sum of TS coordinates and orientation variances was used as an optimality criterion. To investigate the optimization problem, an analytical and a trial-and-error method were developed. Results from both methods show that the height component has no significant influence on the optimal vertical placement of the TS. Inspection of results from the trial-and-error method, where the CPs were moved in different height layers, indicates differences in the height uncertainty of the establishment in the micrometer range, which is negligible for most engineering applications.
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Acknowledgments
The first author thanks the WSP Group in Sweden for financially supporting his Ph.D. study.
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© 2018 American Society of Civil Engineers.
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Received: Aug 10, 2017
Accepted: Feb 14, 2018
Published online: Apr 19, 2018
Published in print: Aug 1, 2018
Discussion open until: Sep 19, 2018
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