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Fair cubic transition between two circles with one circle inside or tangent to the other |
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| Authors: | Sarpono Dimulyo Zulfiqar Habib Manabu Sakai |
| Institution: | (1) Department of Mathematics & Computer Science, Kagoshima University, Koorimoto 1-21-35, 890-0065 Kagoshima, Japan;(2) Department of Computer Science, National University of Computer & Emerging Sciences, B-Block, Faisal Town, Lahore, Pakistan |
| Abstract: | This paper describes a method for joining two circles with a C-shaped and an S-shaped transition curve, composed of a cubic Bézier segment. As an extension of our previous work; we show that a single cubic curve can be used for blending or for a transition curve preserving G 2 continuity regardless of the distance of their centers and magnitudes of the radii which is an advantage. Our method with shape parameter provides freedom to modify the shape in a stable manner. |
| Keywords: | Path planning G 2 transition Cubic Bézier Computer-aided design (CAD) Computer graphics Path planning Highway designing |
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