2003 International Conference on Geometric Modeling and Graphics (GMAG'03)
Family of G2 Cubic Transition Curves
London, England
July 16-July 18
ISBN: 0-7695-1985-7
Walton & Meek [13] obtained a fair G2 cubic transition spiral curve joining a straight line and a circle. We derive a family of cubic transition spiral curves joining them. We not only simplify and extend their analysis but also provide more degrees of freedom with less restrictive shape control parameters. The idea of straight line to circle transition has been extended to straight line to straight line transition which is more flexible and comfortable for practical use.