Extended Analysis of Dynamic Parameters on Cubic Trigonometric Bézier Transition Curves

In this paper, transition curve between two circles are constructed using cubic trigonometric Bézier curve with two dynamic parameters. Attempts were made to provide more stretchability to the curves of transition curves by maximizing the potential of dynamic parameters that are embedded in cubic trigonometric Bézier curve. The flexibility of dynamic parameters itself makes the transition curve between two circles becomes more interactive. Extended analysis are conducted by determining the range of dynamic parameters that are permissible to use when constructing a transition curve. It will provide more options for designers in achieving fair curves.