Geometric modelling of highways using global positioning system (GPS) data and spline approximation

Transportation Research Part C: Emerging Technologies

Volumn 14, Issue 4, 2006, Pages 233-243

  Castro, Maria ^a   Iglesias, Luis ^a   Rodríguez Solano, Roberto ^a   Sánchez, José A ^a  

^a UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Global positioning system (GPS); Highway design; Splines

Indexed keywords

ALGORITHMS; COMPUTATIONAL GEOMETRY; DATA PROCESSING; GLOBAL POSITIONING SYSTEM; MATHEMATICAL MODELS;

GEOMETRIC MODELLING; HIGHWAY ALIGNMENT; PARAMETRIC CUBIC SMOOTHING SPLINE; SPLINE APPROXIMATION; TWO-LANE RURAL HIGHWAYS;

HIGHWAY ENGINEERING;

GPS; MODELING; MOTORWAY; TRAFFIC MANAGEMENT; TRANSPORTATION SAFETY;

EURASIA; EUROPE; MADRID [SPAIN]; SOUTHERN EUROPE; SPAIN;

EID: 33749341476     PISSN: 0968090X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.trc.2006.06.004     Document Type: Article

References (29)

1. An P.E., Brown M., and Harris C.J. On real time driver modeling and vehicle guidance within Prometheus. Transportation systems: theory and application of advanced technology 1 (1995) 91-96
2. Atkinson A.D., and Sanjosé J.J. Propuesta para el levantamiento de vías de comunicación para navegación mediante GPS. Datum XXI 9 (2004) 29-32 (in Spanish)
3. Ball, C.G., Wegman, E.J., 1996. Geometric modeling of vehicle paths and confidence regions. George Mason University Report No: ARO-32850.15-MA. Center for Computational Statistics, Fairfax, VA.
4. Bartels R.H., Beatty J.C., and Barsky B.A. An Introduction to Splines for Use in Computer Graphics and Geometric Modeling (1987), Morgan Kaufmann Publishers
5. Ben-Arieh D., Chang S., Rys M., and Zhang G. Geometric modeling of highways using global positioning system data and B-spline approximation. Journal of Transportation Engineering 130 5 (2004) 632-636
6. Bojkov, V., Urmanov, I., 1997. Use of parametric spline smoothing in highways reconstruction. In: Proceedings of the XIIIth World Meeting of the International Road Federation, Toronto, Canada.
7. Boor, C.de, 2004. Spline Toolbox User's Guide. MathWorks.
8. Bosefeldt, J., Schloesser, M., 1974. Review of the current situation on road design optimization in Germany. In: Seminar X (Road Design 1: General Topics) of the PTRC Summer Annual Meeting, Warwick University, England, pp. 32-53.
9. Calogero V., and Deligny J.L. Los trazados polinómicos y los trazados complejos (1985), EICAM (Universidad Nacional de San Juan), San Juan, Argentina (in Spanish)
10. Castro, M., Pardillo, J.M., Sánchez, J.F., 2005. Alignment indices as a tool to evaluate safety and design consistency in two lane rural roads. In: Proceedings of the Third International Symposium on Highway Geometric Design, Chicago.
11. Chang, S.I., 2004. Global Positioning System data integration and development of a three-dimensional spatial model of the Kansas highway network. FHWA-KS-03-7, Topeka, KS.
12. Chew E.P., Goh C.J., and Fwa T.F. Simultaneous optimization of horizontal and vertical alignments for highways. Transportation Research Part B: Methodological 23 5 (1989) 315-329
13. a Reunión EICAM '86. Trazado Geométrico y Pavimentos en Caminos de Montaña, San Juan, Argentina, pp. 229-264 (in Spanish).
14. D'Andrea A., and Bosurgi G. La progettazione della linea d'asse stradale con l'uso delle funzioni splines cubiche. Autostrade 32 2 (1990) 47-55 (in Italian)
15. Federal Highway Administration, 2000. An Investigation of the Use of Global Positioning System (GPS) Technology and its Augmentations Within State and Local Transportation Departments. FHWA-RD-00-093, McLean, VA.
16. Federal Highway Administration, 2005. High Accuracy-Nationwide Differential Global Positioning System Test and Analysis: Phase II Report. FHWA-HRT-05-034, McLean, VA.
17. Fracassa, A., Scalamandre, A., 1996. The use of rational B-spline curves in geometrical design of road alignments. In: Proceedings of the First International Conference on Computer Applications in Transportation Systems, Basel, Switzerland, pp. 55-64.
18. Guarino Lo Bianco, C., Piazzi, A., 2000. Optimal trajectory planning with quintic G2-splines. In: Proceedings of the IEEE Intelligent Vehicles Symposium 2000, Dearborn, MI, pp. 620-625.
19. Meek D.S., and Walton D.J. An arc spline approximation to a clothoid. Journal of Computational and Applied Mathematics 170 1 (2004) 59-77
20. Moreno, L., Samartín, A., 1982. Una aplicación del método de los elementos finitos al trazado de carreteras. Revista de Obras Públicas 141, pp. 97-106 (in Spanish).
21. OECD, 1973. Optimisation du Tracé des Routes par Ordinateurs. Paris (in French).
22. Puy, J., 2003. Utilización de curvas de Bezier en la representación del trazado de obras lineales. Encuentro Internacional de Enseñanza de la Ingeniería Civil, Ciudad Real, Spain (in Spanish).
23. Shen, Z., 1993. A model for analysis of long truck performance using a two-pass simulation procedure and travel path described by cubic splines. Ph.D. Thesis, Washington University, USA.
24. Spacek, P., 2000. Track behavior and accident occurrence in curves on two-lane highways in rural areas. In: Krammes, R., Brilon, W. (Eds.), Proceedings of the Second International Symposium on Highway Geometric Design. Mainz, Germany, pp. 288-298.
25. Taylor M.A., Woolley J.E., and Zito R. Integration of the global positioning system and geographical information systems for traffic congestion studies. Transportation Research Part C: Emerging Technologies 8 1-6 (2000) 257-285
26. Transportation Research Board, 2002. Collecting, Processing, and Integrating GPS Data into GIS. A Synthesis of Highway Practice. NCHRP Synthesis 301, Washington, DC.
27. Walton D.J., and Meek D.S. Clothoidal splines. Computers and Graphics 14 1 (1990) 95-100
28. Walton D.J., and Meek D.S. A controlled clothoid spline. Computers and Graphics 29 3 (2005) 353-363
29. Wang L.Z., Miura K.T., Nakamae E., Yamamoto T., and Wang T.J. An approximation approach of the clothoid curve defined in the interval [0, π/2] and its offset by free-form curves. Computer-Aided Design 33 14 (2001) 1049-1058