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A method to construct transition curves using a family of the quartic Bezierspiral is described. The transition curves discussed are S-shape and C-shape ofcontact, between two separated circles. A spiral is a curve of monotoneincreasing or monotone decreasing curvature of one sign. Thus, a spiral cannothave an inflection point or curvature extreme. The family of quartic Bezierspiral form which is introduced has more degrees of freedom and will give abetter approximation. It is proved that the methods of constructing transitioncurves can be simplified by the transformation process and the ratio of tworadii has no restriction, which extends the application area, and it gives afamily of transition curves that allow more flexible curve designs.

G2 Transition curve using Quartic Bezier Curve