%0 Journal Article 
%A Rueda Pérez, Sonia Luisa
%A Sendra Pons, Juana
%A Sendra Pons, Juan Rafael
%T An algorithm to parametrize approximately space curves
%D 2013
%@ 0747-7171
%U http://hdl.handle.net/10017/20451
%X We present an algorithm that, given a non-rational irreducible
real space curve, satisfying certain conditions, computes a rational
parametrization of a space curve near the input one. For a given
tolerance \epsilon  > 0, the algorithm checks whether a planar projection
of the given space curve is \epsilon -rational 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.
%K Space curve
%K Rational parametrization
%K Hausdorff distance
%K Ciencia
%K Matemáticas
%K Science
%K Mathematics
%~ Biblioteca Universidad de Alcala