Technical Note
Dec 30, 2015

New Approach to Arc Fitting for Railway Track Realignment

Publication: Journal of Surveying Engineering
Volume 142, Issue 2

Abstract

This article presents a new method of arc fitting for railway track realignment. The theoretical foundations are presented, along with a detailed algorithm of the iterative computational process. This method is based on solving a set of linearized pseudo-observation equations. The formulas of the functional model of the fitting problem were derived, and a special form of objective function is proposed. An iterative method for optimization of objective functions is described, and an analysis of the functional model is presented. Specific conclusions are presented based on the results of this analysis.

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References

Bera, S., Bhowmick, P., and Bhattacharya, B. B. (2010). “Detection of circular arcs in a digital image using chord and sagitta properties.” Proc., 8th Int. Conf. on Graphics, Springer, Berlin, 69–80.
Bera, S., Pal, S., Bhowmick, P., and Bhattacharya, B. B. (2014). “On chord and sagitta in Z2: An analysis towards fast and robust circular arc detection.” CoRR, abs1411.1668.
Company, P., Plumed, R., and Varley, P. (2015). “A fast approach for perceptually-based fitting strokes into elliptical arcs.” Visual Comput., 31(6), 775–785.
Kedra, Z. (2006). “Determining the nominal values during measurements using electronic track gauges.” Prob. Kolejnictwa, 143, 123–135 (in Polish).
Koc, W., and Chrostowski, P. (2013). “The application effects of continuous satellite measurements of railway lines. ” Proc., 12th Int. Conf. Railway Engineering, Univ. of Edinburgh, Edinburgh, U.K.
Koc, W., Specht, C., Chrostowski, P., and Palikowska, K. (2012). “The accuracy assessment of determining the axis of railway track basing on the satellite surveying.” Arch. Transp., 24(3), 307–320.
Lenda, G., and Strach, M. (2012). “Determining the geometry of rail routes using the approximating spline functions.” PAK 2012, 12, 1082–1086.
Naganuma, Y., Suzuki, W., Itaya, K., Kohama, T., and Nakamura, S. (2000). “A complete digital inertial measurement system for railway track geometry.” Computers in railways monograph VII, WIT Press, Ashurst, U.K., 75–84.
Skała-Szymanska, M., Cellmer, S., and Rapinski, J. (2014). “Use of Nelder–Mead simplex method to arc fitting for railway track realignment.” Proc., 9th Int. Conf. “Environmental Engineering,” 〈http://leidykla.vgtu.lt/conferences?ENVIRO_2014/Abstracts/5/244.html〉 (Sept. 10, 2015).
Specht, C., Nowak, A., Koc, W., and Jurkowska, A. (2011). “Application of the Polish Active Geodetic Network for railway track determination.” Transport systems and processes—Marine navigation and safety of sea transportation, T. Neumann, ed., CRC Press, Boca Raton, FL, 77–82.
Yoshimura, A. (1996). “A new method for repairing railway track irregularities using levelling and lining machines.” WIT transactions on the built environment, Vol. 168, WIT Press, Ashurst, U.K., 51–60.
Yoshimura, A., and Naganuma, Y. (2013) “A new method to reconstruct the track geometry from versine data measured in the curved track using the Monte Carlo particle filter. ” Proc., 12th Int. Conf. Railway Engineering, Univ. of Edinburgh, Edinburgh, U.K.
Yoshimura, A., Naganuma, Y., Nakagawa, M., and Okumura, T. (2008) “Digital inertial algorithm for recording track geometry on commercial Shinkansen trains.” WIT transactions on the built environment, Vol. 103, WIT Press, Ashurst, U.K., 683–692.

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Published In

Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 142Issue 2May 2016

History

Received: Feb 18, 2014
Accepted: Oct 6, 2015
Published online: Dec 30, 2015
Published in print: May 1, 2016
Discussion open until: May 30, 2016

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Authors

Affiliations

Slawomir Cellmer [email protected]
Professor, Institute of Geodesy, Univ. of Warmia and Mazury in Olsztyn, Michała Oczapowskiego 2, 10-719, Olsztyn, Poland. E-mail: [email protected]
Jacek Rapiński [email protected]
Associate Professor, Institute of Geodesy, Univ. of Warmia and Mazury in Olsztyn, Michała Oczapowskiego 2, 10-719, Olsztyn, Poland (corresponding author). E-mail: [email protected]
Marta Skala [email protected]
Doctoral Student, Institute of Geodesy, Univ. of Warmia and Mazury in Olsztyn, Michała Oczapowskiego 2, 10-719, Olsztyn, Poland. E-mail: [email protected]
Katarzyna Palikowska
Associate Professor, Faculty of Civil and Environmental Engineering, Gdańsk Univ. of Technology, Gabriela Narutowicza 11/12, 80-233, Gdańsk, Poland

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