G cubic transition between two circles with shape control |
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Authors: | Zulfiqar Habib Manabu Sakai |
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Affiliation: | 1. Department of Computer Science, National University of Computer & Emerging Sciences, B-Block, Faisal Town, Lahore, Pakistan;2. Department of Mathematics & Computer Science, Kagoshima University, Koorimoto 1-21-35, Kagoshima 890-0065, Japan |
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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 G2 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. |
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Keywords: | G2 transition Path planning Cubic Bé zier Computer-aided design (CAD) |
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