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Implicitization of differential rational parametric equations

โœ Scribed by Xiao-Shan Gao

Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
257 KB
Volume
36
Category
Article
ISSN
0747-7171

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โœฆ Synopsis

In this paper, we propose algorithms for the following problems in the implicitization of a set of differential rational parametric equations P. (1) To find a characteristic set for the implicit prime ideal of P. (2) To find a canonical representation for the image of P. (3) To decide whether the parameters of P are independent, and if not, to re-parameterize P so that the new parametric equations have independent parameters. (4) To compute the inversion maps of P, and as a consequence, to decide whether P is proper. If the implicit variety is of dimension one and P is not proper, to find a proper re-parameterization for P.

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