An inversion-based implicitization method

This paper proposes a new method for implicitizing surfaces given by a proper parametrization mapping, under the assumption that the inverse mapping has been computed. The advantage of the method is that it can handle base points and it is readily generalizable to hypersurfaces in arbitrary dimension. Moreover, the computational tools required are GCD operations and taking the square-free part of a polynomial. Alternatively, one may employ factorization.