G2 cubic transition between two circles with shape control

✍ Scribed by Zulfiqar Habib; Manabu Sakai

• Publisher: Elsevier Science
• Year: 2009
• Tongue: English
• Weight: 792 KB
• Volume: 223
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2007.12.024

✦ Synopsis

This paper describes a method for joining two circles with an S-shaped or with a broken back C-shaped transition curve, composed of at most two spiral segments. In highway and railway route design or car-like robot path planning, it is often desirable to have such a transition. It is shown that a single cubic curve can be used for blending or for a transition curve preserving G 2 continuity with local shape control parameter and more flexible constraints. Provision of the shape parameter and flexibility provide freedom to modify the shape in a stable manner which is an advantage over previous work by Meek, Walton, Sakai and Habib.