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Using projection operators in computer aided geometric design

Laurent Busé 1 Mohamed Elkadi 1 Bernard Mourrain 1
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis (... - 2019), CNRS - Centre National de la Recherche Scientifique : UMR6621
Abstract : We give an overview of resultant theory and some of its applications in computer aided geometric design. First, we mention different formulations of resultants, including the projective resultant, the toric resultant, and the residual resultant. In the second part we illustrate these tools, and other projection operators, on typical problems of CAGD such as surface implicitization, inversion, intersection, and detection of singularities of a parameterized surface.
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Submitted on : Monday, September 25, 2006 - 10:19:41 PM
Last modification on : Thursday, January 20, 2022 - 4:13:23 PM
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  • HAL Id : inria-00098681, version 1



Laurent Busé, Mohamed Elkadi, Bernard Mourrain. Using projection operators in computer aided geometric design. Contemporary mathematics, American Mathematical Society, 2003, 334, pp.321--342. ⟨inria-00098681⟩



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