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An inversion-based implicitization method

Ioannis Z. Emiris 1 J. rafael Sendra 
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis (1965 - 2019), CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : This paper proposes a new method for implicitizing surfaces given by a proper parametrization mapping, under the assumption that the inverse mapping has been computed. The advantage of the method is that it can handle base points and it is readily generalizable to hypersurfaces in arbitrary dimension. Moreover, the computational tools required are GCD operations and taking the square-free part of a polynomial. Alternatively, one may employ factorization.
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https://hal.inria.fr/inria-00072104
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Submitted on : Tuesday, May 23, 2006 - 7:48:11 PM
Last modification on : Thursday, August 4, 2022 - 4:52:38 PM
Long-term archiving on: : Sunday, April 4, 2010 - 10:53:22 PM

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  • HAL Id : inria-00072104, version 1

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Ioannis Z. Emiris, J. rafael Sendra. An inversion-based implicitization method. RR-4484, INRIA. 2002. ⟨inria-00072104⟩

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