The generalised Cornu spiral and its application to span generation

@inproceedings{Ali1999TheGC,
  title={The generalised Cornu spiral and its application to span generation},
  author={Jamaluddin M. Ali and R. M. Tookey and J. V. Ball and A. A. Ball},
  year={1999}
}
A Cornu spiral is a plane curve having a linear curvature pro le. This paper considers plane curves having rational linear curvature pro les. These curves are de ned to be generalised Cornu spirals (GCS) and are quality curves in the sense that they are continuous and smooth, can contain one in ection at most, and have a bounded and monotonic curvature pro le. In addition, the GCS has an extra degree of freedom over the Cornu spiral that is available for shape control. Starting from the… CONTINUE READING

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