Bisector curves of planar rational curves

@article{Elber1998BisectorCO,
  title={Bisector curves of planar rational curves},
  author={Gershon Elber and Myung-Soo Kim},
  journal={Computer-Aided Design},
  year={1998},
  volume={30},
  pages={1089-1096}
}
This paper presents a simple and robust method for computing the bisector of two planar rational curves. We represent the correspondence between the foot points on two planar rational curvesC1ðtÞ andC2ðrÞ as an implicit curveF(t,r) 1⁄4 0, whereF(t,r) is a bivariate polynomial B-spline function. Given two rational curves of degreem in thexy-plane, the curveF(t,r) 1⁄4 0 has degree 4m1 2, which is considerably lower than that of the corresponding bisector curve in thexy-plane.q 1999 Elsevier… CONTINUE READING
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