An Implicitization Algorithm for Rational Surfaces with no Base Points

We present an implicitization algorithm which is free of extraneous factors if the rational parametric surface has no base points. This algorithm is based on the method of Sylvester for computing the resultant of three homogeneous polynomials in three variables. Some examples and computations illust...

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Bibliographic Details
Published in:	Journal of symbolic computation Vol. 31; no. 4; pp. 357 - 365
Main Authors:	Aries, Franck, Senoussi, Rachid
Format:	Journal Article
Language:	English
Published:	Elsevier Ltd 01.04.2001
ISSN:	0747-7171, 1095-855X
Online Access:	Get full text
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Summary:	We present an implicitization algorithm which is free of extraneous factors if the rational parametric surface has no base points. This algorithm is based on the method of Sylvester for computing the resultant of three homogeneous polynomials in three variables. Some examples and computations illustrate the efficiency and limits of this method.
ISSN:	0747-7171 1095-855X
DOI:	10.1006/jsco.1999.0436