An algorithm to parametrize approximately space curves

Sonia L. Rueda, Juana Sendra, J. Rafael Sendra
2013 Journal of symbolic computation  
We present an algorithm such that, if a non-rational irreducible real space curve is given, it computes a rational parametrization of an space curve that is near the input one. The algorithm checks whether a planar projection of the given space curve is ϵ-rational and, in the affirmative case, generates a planar parametrization that is lifted to an space parametrization. This output rational space curve is of the same degree as the input curve, both have the same structure at infinity, and the
more » ... ausdorff distance between them is always finite. Moreover, in the examples we check that the distance is small.
doi:10.1016/j.jsc.2013.04.002 fatcat:5ahvnkfgdje5dhbhg3sfnj5zgi