Specified-Precision Computation of Curve/Curve Bisectors

@article{Farouki1998SpecifiedPrecisionCO,
  title={Specified-Precision Computation of Curve/Curve Bisectors},
  author={Rida T. Farouki and Rajesh Ramamurthy},
  journal={Int. J. Comput. Geometry Appl.},
  year={1998},
  volume={8},
  pages={599-619}
}
The bisector of two plane curve segments (other than lines and circles) has, in general, no simple — i.e., rational — parameterization, and must therefore be approximated by the interpolation of discrete data. A procedure for computing ordered sequences of point/tangent/curvature data along the bisectors of polynomial or rational plane curves is described, with special emphasis on (i) the identification of singularities (tangentdiscontinuities) of the bisector; (ii) capturing the exact rational… CONTINUE READING

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