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@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} }

- Published in Int. J. Comput. Geometry Appl. 1998
DOI:10.1142/S0218195998000291

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