Implicitizing rational hypersurfaces using approximation complexes
نویسندگان
چکیده
منابع مشابه
Implicitizing rational hypersurfaces using approximation complexes
In this paper we describe an algorithm for implicitizing rational hypersurfaces in case there exists at most a finite number of base points. It is based on a technique exposed in Busé and Jouanolou [2002], where implicit equations are obtained as determinants of certain graded parts of a so-called approximation complex. We detail and improve this method by providing an in-depth study of the coh...
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Recently, a method to compute the implicit equation of a parameterized hypersurface has been developed by the authors. We address here some questions related to this method. First, we prove that the refined degree estimate of [3] for the stabilization of the Mac Rae invariant of SymA(I)ν is optimal. When the base points of a parameterization are complete intersections the method gives exactly a...
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The envelope of a family of real, rational hypersurfaces is defined by an implicit equation in the parameter space. This equation can be decomposed into factors that are mapped to varieties of different dimension. The factorization can be found using solely gcd computations and polynomial divisions. The decomposition is used to derive some general results about envelopes, which also contribute ...
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ژورنال
عنوان ژورنال: Journal of Symbolic Computation
سال: 2005
ISSN: 0747-7171
DOI: 10.1016/j.jsc.2004.04.005