1991•Unpublished venueRequires access

Computations with parametric equations

Xiao-Shan Gao, Shang-Ching Chou

Abstract

Abstract. We present a complete method of implicitization for general rational parametric equations. We also present a method to decide whether the parameters of a set of parametric equations are independent, and if not, reparameterize the parametric equations so that the new parametric equations have independent parameters. We give a method to compute the inversion maps of parametric equations with independent parameters, and as a consequence, we can decide whether the parametric equations are proper. A new method to find a proper reparameterization for a set of improper parametric equations of algebraic curves is presented. 1

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Key concepts: Parametric statistics, Parametric equation, Applied mathematics, Mathematics, Simultaneous equations, Computation, Algebraic equation, Set (abstract data type)