QUINTIC SPIRAL TRANSITION CURVES AND THEIR APPLICATIONS

A method for family of G Pythagorean hodograph (PH) quintic 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 quintic transition spiral curves joining them. Due to flexibility 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.