Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4641697 | Journal of Computational and Applied Mathematics | 2009 | 12 Pages |
Abstract
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 G2G2 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Zulfiqar Habib, Manabu Sakai,