Configuration Analysis of Two-Dimensional Resection Networks
Publication: Journal of Surveying Engineering
Volume 142, Issue 4
Abstract
The optimal configuration of a resection network plays an important role in the precision analysis of free stations. The two conditions of the optimal configuration for distance-only resection networks were derived. Based on the two conditions, the regular sector configuration was proposed, and the character of the optimal configuration was determined. Furthermore, the geometric dilution of precision (GDOP) for a generic direction resection network with n known points was deduced. The conclusion was reached that A-D-E-optimality cannot be simultaneously achieved in the direction resection network. The pursuit of only the lowest GDOP is impractical in engineering, whereas the E-optimality criterion is suitable in such a situation, as shown by cases with three known points. There are typically two E-optimal configurations for a three-known-point direction resection network, and the regular pattern was explored. Finally, the configuration of a heterogeneous resection network was analyzed. An in-depth understanding of the resection network configuration is provided, which is beneficial for developing an initial guess for the optimal resection network configuration in practice.
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Acknowledgments
The authors thank the editor and anonymous reviewers for their time, effort, and helpful comments. The work described in this paper is supported by the National Natural Science Foundation of China (Project No. 51378512).
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Published In
Journal of Surveying Engineering
Volume 142 • Issue 4 • November 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jan 7, 2015
Accepted: Mar 15, 2016
Published online: Apr 14, 2016
Discussion open until: Sep 14, 2016
Published in print: Nov 1, 2016
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