IMPLICITIZATION OF PARTIAL DIFFERENTIAL RATIONAL PARAMETRIC EQUATIONS

摘要

In this paper, we propose algorithms for the following problems in the implicitization of aset of partial differential rational parametric equations P. (1)To find a characteristic set for the implicitprime ideal of P; (2) To find a canonical representation for the image of P; (3)To decide whether theparameters of P are independent, and if not, to re-parameterize P so that the new parametric equationshave independent parameters; (4) To compute the inversion maps of P, and as a consequence, to decidewhether P is proper.