Improvement Construction for Planar G2 Transition Curve Between Two Separated Circles
In this paper, we use the undetermined coefficient method to find a desirable pair of cubic Bezier spirals and a desirable pair of quintic PH spirals to generate planar G2 transition curve between two separated circles. The G2 transition curve can be gotten by the rooting formula, which simplifies the computation, and the ratio of two radii has no restriction, which extends the application area.
KeywordsTransition Curve Unit Tangent Vector NURBS Curve Bezier Curve Pythagorean Hodograph
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