A method for parameterizing nearly arbitrary implicit plane/space curves and surfaces is introduced. The parameterizations are of class
if the given curves/surfaces are of class 
.
The computation of points and derivatives is performed numerically.
These parameterizations can be used for controlled determination
of points on curves and surfaces and for the application of developed
techniques for parametric curves and surfaces (mesh generation, texture
mapping, curve integrals, surface integerals ...) to implicit curves and
surfaces. The idea of the normalform of a curve/surface introduced in recent
papers makes it possible to apply the numerical parameterization to
nearly arbitrary curves and surfaces.
