UPSI Digital Repository (UDRep)
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UPSI Digital Repository (UDRep)
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| Abstract : Perpustakaan Tuanku Bainun |
| A method to construct the transition curves by using a family of the quartic Bezier spiral is described. The applications of quartic spiral discussed are G2 transition curve joining a straight line and a circle, and joining two straight lines with a pair of spiral segment. A spiral is a curve of monotone increasing or monotone decreasing curvature of one sign. Thus, a spiral cannot have an inflection point or curvature extreme. The family of quartic Bezier spiral form which was introduced has more degrees of freedom and will give a better approximation to clothoid spiral. These methods of constructing transition curves can be simplified by transformation process which extends the application area, and it gives a family of transition curves that allow more flexible curve designs.
Keywords Transition curve, curvature, quartic Bezier spiral |
| References |
Azhar, A. and Jamaludin, M.A. (2008). G3 Transition Curve between two straight lines. In Proceeding of CGIV08, Penang, Malaysia, 26-28 Ogos 2008 :IEEE Computer Society Press, 154-159.
Azhar, A., Gobithasan, R. and Jamaludin, M.A. (2007). G2 Transition curve using Quartic Bezier Curve. In Proceeding of CGIV07, Bangkok, Thailand, 2-5 Ogos 2007 :IEEE Computer Society Press, 223-228.
Baass, K.G. (1984). The use of clothoid templates in highway design, Transportation Forum 1(1984), 47-52.
Farin, G. (1997). Curves and Surfaces for Computer Aided Geometric Design; A practical Guide, 4th Edition. New York: Academic press.
Habib, Z. and Sakai, M. (2005a). Circle to circle Transition with a single cubic spiral. In :Proceedings of the Fifth IASTED International Conference Visualization, Imaging, and Image Processing, Sept 7-9, Benidorm, Spain, 691-696.
Walton, D.J. and Meek, D.S. (1996a). A planar cubic Bezier spiral. Journal of Computational and Applied Mathematics, 72, 85-100.
Walton, D.J. and Meek, D.S. (1996b). A Pythagorean hodograph quintic spiral. Journal of Computer Aided Design, 72 (12), 943-950
Walton, D.J., Meek, D.S. and Jamaludin, M.A. (2003). Planar G2 transition curves composed of cubic Bezier spiral segments. Journal of Computational and Applied Mathematics, 157, 453-476. |
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