Technical Papers
Feb 26, 2016

Identification of Horizontal Circular Arc from Spatial Data Sources

Publication: Journal of Surveying Engineering
Volume 142, Issue 4

Abstract

Curves represent the most interesting element to be analyzed when evaluating the operational and safety effects of road geometrics. Despite the existence of several static and dynamic survey techniques, the correct identification of curves and the interpretation of spatial data from horizontal road alignment surveys still present a challenge. This paper presents the results of an investigation into the effects of both accuracy and sampling frequency (i.e., the interval between data points) of alignment spatial data on the identification of the radius and center of curvature. In pursuit of this objective, the authors adopted an original approach consisting of the generation of dispersed spatial data points from circular arcs with known characteristics. The least-squares, Huber, and Landau methods were used to back-calculate the radius and the coordinates of the center of curvature and to assess the effects of accuracy and interval between data points. The results obtained quantified the effects of accuracy, interval between points, radius magnitude, and length of circular arc on the identification of circular arcs. In support of future survey activities, considerations regarding the accuracy of measurements, the sampling frequency, and arc characteristics (i.e., length, radius) are discussed in the paper.

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Acknowledgments

The research presented in the paper refers to part of the activities carried out in the Pro-Vision Project (Title: Sistema Prototipale per le Verifiche di Visibilità su Infrastrutture di Trasporto Esistenti in Ambito di Smart City, in Italian), which was funded by the Regione Piemonte (F.E.S.R. 2007/2013).

References

Ai, C., and Tsai, J. (2014). “An automated horizontal curve radii measurement method for roadway safety analysis using GPS data.” 93rd Annual Meeting, Transportation Research Board No. 14-3833, Transportation Research Board, Washington, DC.
Baarda, W. (1967). Statistical concepts in geodesy, Publications on Geodesy Vol. 2, No. 4, Netherlands Geodetic Commission, Delft, Netherlands.
Baarda, W. (1968). A testing procedure for use in geodetic networks, Publications on Geodesy Vol. 2, No. 5, Netherlands Geodetic Commission, Delft, Netherlands.
Bassani, M., Lingua, A., Piras, M., De Agostino, M., Marinelli, G., and Petrini, G. (2012). “Alignment data collection of highways using mobile mapping and image analysis techniques.” 91st Annual Meeting, Transportation Research Board No. 12-0312, Transportation Research Board, Washington, DC.
Berman, M., and Culpin, D. (1986). “The statistical behaviour of some least squares estimators of the centre and radius of a circle.” J. Royal Stat. Soc. Series B, 48, 183–196.
Carlson, P. J., Burris, M., Black, K., and Rose, E. R. (2005). “Comparison of radius-estimating techniques for horizontal curves.” Transportation Research Record, 1918, 76–83.
Chan, N. N. (1965). “On circular functional relationships.” J. R. Stat. Soc. Series B, 27, 45–56.
Choi, S., and Sung, J. (2007). “Data generalization algorithm for the extraction of road horizontal alignment design elements using the GPS/INS data.” Adv. Hybrid Inf. Tech., 4413, 51–62.
Dong, H., Easa, S. M., and Li, J. (2007). “Approximate extraction of spiralled horizontal curves from satellite imagery.” J. Surv. Eng., 36–40.
Drakopoulos, A., and Örnek, E. (2000). “Use of vehicle-collected data to calculate existing roadway geometry.” J. Transp. Eng., 154–160.
Easa, S. M., Dong, H. M., and Li, J. (2005). “Use of satellite imagery for establishing road horizontal alignments.” J. Surv. Eng., 29–35.
Gomarasca, M. (2009). Basic of geomatics, Springer, London.
Handschin, E., Schweppe, F. C., Kohlas, J., and Fiechter, A. (1975). “Bad data analysis for power system state estimation.” IEEE Trans. Power App. Syst., 94(2), 329–337.
Harkey, D. L., Chang, Y., and Feaganes, J. (2004). “Evaluation and validation of automated in-vehicle data collection system for developing roadway alignments.” Transportation Research Record, 1897, 164–172.
Hauer, E. (1999). “Safety and the choice of degree of curve.” Transportation Research Record, 1665, 22–27.
Hofmann-Wellenhof, B., Lichtenegger, H., and Wasle, E. (2008). GNSS—Global navigation satellite systems, Springer, London.
Huber, P. J. (1981). Robust statistics, John Wiley & Sons, Inc., Hoboken, NJ.
Imran, I., Hassan, Y., and Patterson, D. (2006). “GPS-GIS-based procedure for tracking vehicle path on horizontal alignments.” Comput.-Aided Civ. Infrastruct. Eng., 21(5), 383–394.
Kasa, I. (1976). “A circle fitting procedure and its error analysis.” IEEE Trans. Instrum. Meas., 25(1), 8–14.
Kraus, K. (1997). Photogrammetry. Vol. 1: Fundamentals and standard Processes. Vol. 2: Advanced methods and applications, Walter De Gruyter, Berlin.
Jeudy, L. M. A. (1988). “Generalyzed variance-covariance propagation law formulae and application to explicit least-squares adjustments.” Bull. Géodésique, 62(2), 113–124.
Jiménez, F. (2011). “Improvements in road geometry measurement using inertial measurement systems in datalog vehicles.” Measurement, 44(1), 102–112.
Landau, U. M. (1987). “Estimation of a circular arc center and its radius.” Comput. Vision Graphics Image Proc., 38(3), 317–326.
Lee, J., Yun, D., Sung, J., Jung, Y., and Son, J. (2012). “The GPS-IMU p erformance t est for r oad a lignment s urveying.” 91st Annual Meeting, Transportation Research Board No. 12-1585, Transportation Research Board, Washington DC.
Li, Z., Chitturi, M. V., Bill, A. R., and Noyce, D. A. (2012). “Automated identification and extraction of horizontal curve information from geographic information system roadway maps.” Transportation Research Record, 2291, 80–92.
Maclean, A. (1994). Remote sensing and GIS. American Society for Photogrammetry and Remote Sensing, Bethesda, MD.
MATLAB R2011a [Computer software]. (2011). MathWorks, Natik, MA.
McGlone, J. C. (2013). Manual of photogrammetry, 6th Ed., American Society for Photogrammetry and Remote Sensing, Bethesda, MD.
Mena, J. B., and Malpica, J. A. (2005). “An automatic method for road extraction in rural and semi-urban areas starting from high resolution satellite imagery.” Pattern Recognit. Lett., 26(9), 1201–1220.
Novak, K. (1995). “Mobile mapping technology for GIS data collection.” Photogramm. Eng. Remote Sens., 61(5), 493–501.
Rasdorf, W., Findley, D. J., Zegeer, C. V., Sundstrom, C. A., and Hummer, J. E. (2010). “Evaluation of GIS applications for horizontal curve data collection.” J. Transp. Eng., 191–203.
Thomas, S. M., and Chan, Y. T. (1989). “A simple approach for the estimation of circular arc center and its radius.” Comput. Vision Graphics Image Proc., 45(3), 362–370.
Tsai, Y., Wu, J., Wang, Z., and Hu, Z. (2009). “Horizontal roadway curvature computation algorithm using vision technology.” Comput.-Aided Civ. Infrastruct. Eng., 25, 78–88.
Wolberg, J. (2005). Data analysis using the method of least squares: Extracting the most information from experiments, Springer, London.

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Published In

Go to Journal of Surveying Engineering
Journal of Surveying Engineering
Volume 142Issue 4November 2016

History

Received: Apr 22, 2015
Accepted: Jan 19, 2016
Published online: Feb 26, 2016
Discussion open until: Jul 26, 2016
Published in print: Nov 1, 2016

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Authors

Affiliations

Marco Bassani [email protected]
Ph.D., P.Eng.
Associate Professor, Politecnico di Torino, Dept. of Environment, Land and Infrastructures Engineering (DIATI), 24 Corso Duca Degli Abruzzi, Torino 10129, Italy (corresponding author). E-mail: [email protected]
Giuseppe Marinelli, Ph.D. [email protected]
P.Eng.
Research Associate, Politecnico di Torino, Dept. of Environment, Land and Infrastructures Engineering (DIATI), Corso Duca Degli Abruzzi, Torino 10129, Italy. E-mail: [email protected]
Marco Piras, Ph.D. [email protected]
P.Eng.
Assistant Professor, Politecnico di Torino, Dept. of Environment, Land and Infrastructures Engineering (DIATI), Corso Duca Degli Abruzzi, Torino 10129, Italy. E-mail: [email protected]

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