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Error Propagation of the Hidden-Point Bar Method: Effect of Bar Geometry

Authors: Said M. Easa, Ahmed Shaker

Abstract:

The hidden-point bar method is useful in many surveying applications. The method involves determining the coordinates of a hidden point as a function of horizontal and vertical angles measured to three fixed points on the bar. Using these measurements, the procedure involves calculating the slant angles, the distances from the station to the fixed points, the coordinates of the fixed points, and then the coordinates of the hidden point. The propagation of the measurement errors in this complex process has not been fully investigated in the literature. This paper evaluates the effect of the bar geometry on the position accuracy of the hidden point which depends on the measurement errors of the horizontal and vertical angles. The results are used to establish some guidelines regarding the inclination angle of the bar and the location of the observed points that provide the best accuracy.

Keywords: Hidden point, accuracy, error propagation, surveying, evaluation, simulation, geometry.

Digital Object Identifier (DOI): doi.org/10.5281/zenodo.1335010

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References:


[1] A. L. Allan, Practical surveying and computations. Butterworth- Heinemann, Oxford, U.K, 1997.
[2] W. F. Teskey, R. J. Fox, and D. H. Adler, "Hidden point bar method for precise heighting." J. Survey. Eng., vol. 130, no. 4, pp. 179-182, 2004.
[3] L. M. Sebert, "Resections revisited." Geomatica, vol. 50, no. 3, pp. 310- 311, 1996.
[4] W. F. Teskey, B. Paul, and W. J. Teskey, 2005. "Hidden point bar method for high-precision industrial surveys." J. Survey. Eng., vol. 131, no. 4, pp. 103-106, 2005.
[5] A. Antonopoulos, "Fixation by Hidden Points Bar from One Theodolite." J. Survey. Eng., vol. 131, no. 4, pp. 113-117, 2005.
[6] M. Recoskie, L. Le, and M. Berber, Current technology and new techniques for total station surveys of inaccessible points. CD-Rom Proceedings, Annual Conference of the Canadian Society for Civil Engineering, Quebec, QC, 2008.
[7] J. M. Anderson, and E. M. Mikhail, Surveying: Theory and practice. McGraw Hill, New York, ch. 2, 1998.
[8] Ghilani, C.D., and P.R. Wolf, Adjustment computations: Spatial data analysis. John Wiley & Sons , New York, ch. 6, 2006.
[9] P. Venkataraman, Applied optimization with MATLABĀ® programming. John Wiley, New York, U.S.A., 2002.
[10] A. Antonopoulos, Personal notes on industrial surveying practicals. University College London, London, 1994.
[11] S. M. Easa, "Direct distance-based positioning without redundancy - In land surveying." J. Survey. and Land Info. Science, vol. 67, no. 2, pp. 69-74, 2007.
[12] E. El-Hasan, "Analysis of the three-point resection accuracy." The Australian Surveyor, vol. 34, no. 7, pp. 716-727, 1989.