TECHNICAL PAPERS
Aug 1, 1985

Relative Error Analysis of Geodetic Networks

Publication: Journal of Surveying Engineering
Volume 111, Issue 2

Abstract

Positional accuracy estimators for all the points in a primary control network are derived from the covariance matrix. Relative error ellipses in scale and in orientation are proposed as objective descriptors of the positional accuracy of every point with respect to a ring of its neighbors. The ring size is chosen as a function of the average distance between points in the network. A free‐net error ellipse is considered as another alternative, for describing the positional accuracy of a point relative to its neighbors. A few examples of the analysis of a primary horizontal network are given as an illustration.

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References

1.
Ashkenazi, V., “Criteria for Strength Analysis and Optimization of Terrestrial Triangulation Networks,” International Association of Geodesy Symposium on Satellite and Terrestrial Triangulation, Graz, Austria, 1972.
2.
Ashkenazi, V., and Grafarend, E. W., “Network Analysis: Singularity, Rank and Invariant Criteria,” Primer Congreso Venezolano De Geodesia, Maracaibo, 1976.
3.
Federal Geodetic Control Committee, “Classification Standards of Accuracy and General Specifications of Geodetic Control Surveys,” NOAA, U.S. Dept. of Commerce, Washington, D.C., 1974.
4.
Gazdzicki, J., “Strength Analysis of Geodetic Control Networks,” Bulletin Geodesique, Vol. 50, 1976, pp. 363–376.
5.
Grafarend, E. W., and Schaffrin, B., “Equivalence of Estimable Quantities and Invariants in Geodetic Networks,” ZfV, Nr. 101, Heft 11, 1976.
6.
Hanson, R. H., “A‐posteriori Error Propagation,” Proceedings of Second Intern. Symp. on Problems Related to the Redefinition of North American Geodetic Networks, NOAA, NOS, Washington, D.C., 1978.
7.
Leick, A., “Minimal Constraints in Two‐Dimensional Networks,” Journal of Surveying and Mapping Division, ASCE, Vol. 108, No. SU2, 1982, pp. 53–68.
8.
Meissl, P., “The Strength of Continental Terrestrial Networks,” The Canadian Surveyor, Vol. 28, No. 5, 1974, pp. 582–589.
9.
Papo, H., and Perelmuter, A., “Datum Definition by Free Net Adjustment,” Bulletin Geodesique, No. 55/3, 1981.
10.
Pope, A. J., “Transformation of Covariance Matrices Due to Changes in Minimal Control,” presented at the 1971 American Geophysical Union Fall Meeting, held at San Francisco, Calif., 1971.
11.
Snay, R. A., “Reducing the Profile of Sparse Symmetric Matrices,” Bulletin Geodesique, No. 50, 1976, pp. 341–352.
12.
Stelzer, D., “Strength Analysis of the Primary Geodetic Control Network of Israel,” thesis presented to Technion, in Haifa, Israel, in 1983, in partial fulfillment of the requirements for the degree of Master of Science.
13.
Strang Van Hees, G. L., “Variance‐Covariance Transformation of Geodetic Networks,” Manuscripta Geodetica, Vol. 7, 1982.

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Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 111Issue 2August 1985
Pages: 133 - 139

History

Published online: Aug 1, 1985
Published in print: Aug 1985

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Authors

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Haim B. Papo
Prof., Dept. of Civ. Engrg., Technion‐Israel Inst. of Technology, Haifa 32000, Israel
David Stelzer
Prof., Dept. of Civ. Engrg., Technion‐Israel Inst. of Technology, Haifa 32000, Israel

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