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Journal Articles Contemporary mathematics Year : 2003

Using projection operators in computer aided geometric design

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Laurent Busé
Bernard Mourrain

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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Dates and versions

inria-00098681 , version 1 (25-09-2006)

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  • HAL Id : inria-00098681 , version 1

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