Details:
Title  An algorithm to parametrize approximately space curves  Author(s)  Sonia L. Rueda, J. Rafael Sendra  Type  Article in Journal  Abstract  Abstract We present an algorithm that, given a nonrational irreducible real space curve, satisfying certain conditions, computes a rational parametrization of a space curve near the input one. For a given tolerance ϵ > 0 , the algorithm checks whether a planar projection of the given space curve is ϵrational and, in the affirmative case, generates a planar parametrization that is lifted to a 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 Hausdorff distance between their real parts is finite. Moreover, in the examples we check that the distance is small.  Keywords  Space curve, Rational parametrization, Hausdorff distance  ISSN  07477171 
URL 
http://www.sciencedirect.com/science/article/pii/S0747717113000618 
Language  English  Journal  Journal of Symbolic Computation  Volume  56  Number  0  Pages  80  106  Year  2013  Edition  0  Translation 
No  Refereed 
No 
