Robustness Analysis of Two-Dimensional Networks
Publication: Journal of Surveying Engineering
Volume 132, Issue 4
Abstract
After geodetic networks are established, relevant measurements are made and point coordinates are estimated by the least-squares method. However, the least-squares method does not give any information about the robustness of networks. To measure robustness of a network, the degree of deformation of individual points of the network is measured by strain. Furthermore, threshold values are needed to evaluate networks. These threshold values will enable us to evaluate the robustness of the network. If the displacements of individual points of the network are worse than the threshold values, we must redesign the network by changing the configuration or improving the measurements until we obtain a network of acceptable robustness. This paper describes how to obtain the displacements at individual points of a network, employs the specifications of the Geodetic Survey Division, and shows the power of the technique on different geodetic networks.
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Acknowledgments
The authors thank the Canadian National Sciences and Engineering Research Council (NSERC) for funding this work. The authors thank Dr. Mike Craymer of the Geodetic Survey Division of Canada for providing the network examples.
References
Baarda, W. (1968). A testing procedure for use in geodetic networks, Geodesy New Series, Vol. 2, Netherlands Geodetic Commission, Delft, The Netherlands.
Berber, M. (2006). “Robustness analysis of geodetic networks.” Ph.D. dissertation, Dept. of Geodesy and Geomatics Engineering, Univ. of New Brunswick, Fredericton, N.B., Canada.
Geodetic Survey Division (GSD). (1978). “Specifications and recommendations for control surveys and survey markers 1978.” ⟨http//www.geod.nrcan.gc.ca/index_e/products_e/stand_e/specs_e/specs.html#HoriSpecifications⟩ (Oct. 28, 2004 ).
Proszynski, W. (1994). “Criteria for internal reliability of linear least squares models.” Bull. Geod., 68, 162–167.
Proszynski, W. (1997). “Measuring the robustness potential of the least squares estimation: Geodetic illustration.” J. Geodesy, Berlin, 71, 652–659.
Vaníček, P., Craymer, M. R., and Krakiwsky, E. J. (2001). “Robustness analysis of geodetic horizontal networks.” J. Geodesy, Berlin, 75, 199–209.
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© 2006 ASCE.
History
Received: Nov 15, 2004
Accepted: Jun 28, 2005
Published online: Nov 1, 2006
Published in print: Nov 2006
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