Tracing surface intersections

@article{Bajaj1988TracingSI,
  title={Tracing surface intersections},
  author={Chandrajit L. Bajaj and Christoph M. Hoffmann and Robert E. Lynch and John E. Hopcroft},
  journal={Computer Aided Geometric Design},
  year={1988},
  volume={5},
  pages={285-307}
}
We consider the problem of tracing the intersection of surfaces given either implicitly or parametrically. We give a numerical tracing procedure in which a third-order Taylor approximant is constructed for taking steps of variable length, and the points so found are improved by Newton iteration. We show how this construction relates to local parameterizations of the curve at singularities, and discuss our experience with the method. For plane curves, given implicitly, we show how… CONTINUE READING

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