Title :
Family of G2 cubic transition curves
Author :
Habib, Zulfiqar ; Sakai, Manabu
Author_Institution :
Dept. of Math. & Comput. Sci., Kagoshima Univ., Japan
Abstract :
Walton & Meek (1996) 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.
Keywords :
computational geometry; quadtrees; rendering (computer graphics); G2 cubic transition spiral curve; circle transition; cubic curve; shape control parameter; straight line transition; transition curve; Graphics; Solid modeling; Spirals;
Conference_Titel :
Geometric Modeling and Graphics, 2003. Proceedings. 2003 International Conference on
Print_ISBN :
0-7695-1985-7
DOI :
10.1109/GMAG.2003.1219675
