A New Method in Highway Route Design: Joining Circular Arcs by a Single C-Bézier Curve with Shape Parameter

@inproceedings{Cai2009ANM,
  title={A New Method in Highway Route Design: Joining Circular Arcs by a Single C-B{\'e}zier Curve with Shape Parameter},
  author={Hua-hui Cai and Guo-jin Wang},
  year={2009}
}
We constructed a single C-Bézier curve with a shape parameter for G joining two circular arcs. It was shown that an S-shaped transition curve, which is able to manage a broader scope about two circle radii than the Bézier curves, has no curvature extrema, while a C-shaped transition curve has a single curvature extremum. Regarding the two kinds of curves, specific algorithms were presented in detail, strict mathematical proofs were given, and the effectiveness of the method was shown by… CONTINUE READING

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