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Sep 1, 2006

3D Calculation of Stopping-Sight Distance from GPS Data

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Publication: Journal of Transportation Engineering
Volume 132, Issue 9

Abstract

Sight distance is a key element in highway geometric design. Existing models for evaluating sight distance are applicable only to two-dimensional (2D), separate horizontal, and vertical alignments or simple elements of these separate alignments (vertical curve, horizontal curve). A new model using global positioning system (GPS) data is presented for determining the available sight distance on 3D combined horizontal and vertical alignments. Piecewise parametric equations in the form of cubic B -splines are used to represent the highway surface and sight obstructions, including tangents (grades), horizontal curves, and vertical curves. The available sight distance is found analytically by examining the intersection between the sight line and the elements representing the highway surface and sight obstructions. A profile of available sight distance can be established and used to evaluate sight-distance deficiency. Application of the new model is illustrated using actual GPS data for highway K-177 in Kansas (United States). The model has been tested and verified on most of the highways in Kansas. Software has been developed and can be used for determining the available sight distance on any highway for which GPS data are available.

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Acknowledgments

The funding for this project was provided by the Kansas Department of Transportation (KDOT) through a grant to Kansas State University. All statements and opinions presented in the project are the sole responsibility of the writers, and may not necessarily reflect those of the KDOT.

References

AASHTO. (2001). A policy on geometric design of highways and streets, Washington, D.C.
Ben-Arieh, D., Chang, S., Rys, M., and Zhang, G. (2004). “Geometric modeling of highways using GPS data and B -spline approximation.” J. Transp. Eng., 130(5), 632–636.
Easa, S. M. (1998). “Three-arc vertical curve for constrained highway alignments.” J. Transp. Eng., 124(2), 163–171.
Hassan, Y., Easa, S. M., and Abd El Halim, A. O. (1995). “Sight distance on horizontal alignments with continuous lateral obstructions.” Transportation Research Record 1500, Transportation Research Board, Washington, D.C., 31–42.
Lovell, D. J. (1999). “Automated calculation of sight distance from horizontal geometry.” J. Transp. Eng., 125(4), 297–304.
McLean, J. R. (1988). “Speeds, friction factors and alignment design standards.” Research Rep. No. ARR No. 154, Australian Road Research Board, Victoria, Australia.
Mortenson, M. E. (1997). Geometric modeling, 2nd Ed., Wiley, New York.
Namala, S., Rys, M., and Nehate, G. (2003). “3-D calculation of stopping sight distance from GPS data.” Kansas DOT Rep. No. K-TRAN: KSU-01-03, Kansas Dept. of Transportation, Kan.
National Swedish Road Administration (1986). Swedish design standards, Sweden.
Taiganidis, I. (1998). “Aspects of stopping sight distance on crest vertical curves.” J. Transp. Eng., 124(4), 335–342.

Information & Authors

Information

Published In

Go to Journal of Transportation Engineering
Journal of Transportation Engineering
Volume 132Issue 9September 2006
Pages: 691 - 698

History

Received: Nov 29, 2004
Accepted: Feb 27, 2006
Published online: Sep 1, 2006
Published in print: Sep 2006

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Authors

Affiliations

Girish Nehate [email protected]
Graduate Student, Dept. of Industrial and Manufacturing Systems Engineering, Kansas State Univ., Manhattan, KS 66506 (corresponding author). E-mail: [email protected]
Malgorzata Rys
Associate Professor, Dept. of Industrial and Manufacturing Systems Engineering, Kansas State Univ., Manhattan, KS 66506.

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