**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**30069

##### Approximating Maximum Speed on Road from Curvature Information of Bezier Curve

**Authors:**
M. Y. Misro,
A. Ramli,
J. M. Ali

**Abstract:**

**Keywords:**
Speed estimation,
path constraints,
reference
trajectory,
Bezier curve.

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.1110559

**References:**

[1] Cai, H., & Wang, G. (2009). A new method in highway route design: joining circular arcs by a single C-Bézier curve with shape parameter. Journal of Zhejiang University SCIENCE A, 10(4), 562–569. doi:10.1631/jzus.A0820267.

[2] Choi, J., Curry, R. E., & Elkaim, G. H. (2012). Minimizing the maximum curvature of quadratic Bézier curves with a tetragonal concave polygonal boundary constraint. Computer-Aided Design, 44(4), 311–319. doi:10.1016/j.cad.2011.10.008H. Poor, An Introduction to Signal Detection and Estimation. New York: Springer-Verlag, 1985, ch. 4.

[3] G. Meyer and S. Deix, (2014). Research and Innovation for Automated Driving in Germany and Europe, in Road Vehicle Automation, Berlin, Springer.

[4] G. Meyer and S. Beiker (2014). Road Vehicle Automation, Springer, pp. 154.

[5] Gobithaasan, R. U. (2013). Various Types of Aesthetic Curves.

[6] Kaspar, C. (2009). Using Bezier Curves for Geometric Transformations.

[7] Kanellaidis G., Dimitropulos I., (1995), Investigation of current and proposed superelevation design practices on roadway curves, TRB (Transportation Research Board), International Symposium on highway geometric design practises, Boston, Massachussetts, pp. 2-3.

[8] Shen, T., Chang, C., Chang, K., & Lu, C. (2013). A Numerical Study of Cubic Parabolas On Railway Transition Curves Curves, 21(2), 191–197. doi:10.6119/JMST-012-0403-1.

[9] Walton, D. J., Meek, D. S., & Ali, J. M. (2003). Planar G2 transition curves composed of cubic Bezier spiral segments. Journal of Computational and Applied Mathematics, 157(2), 453–476. doi:10.1016/S0377-0427(03)00435-7.

[10] Wolhuter, K. (2015). Geometric Design of Roads Handbook. CRC Press. doi:10.1201/b18344.