SPIRAL TRANSITION CURVES AND THEIR APPLICATIONS

A method for family of G 2 planar cubic B ezier spiral transition from straight line to circle is discussed in this paper. This method is then extended to a pair of spirals between two straight lines or two circles. We derive a family of cubic transition spiral curves joining them. Due to exibilit y and wide range of shape control parameters, our method can be easily applied for practical applications like high way designing, blending in CAD, consumer products such as ping-pong paddles, rounding corners, or designing a smooth path that avoids obstacles.

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