Near-Optimal Parameterization of the Intersection of Quadrics: Theory and Implementation

Abstract : We present an algorithm that computes an exact parametric form of the intersection of two real quadrics in projective three-space given by implicit equations with rational coefficients. This algorithm represents the first complete and robust solution to what is perhaps the most basic problem of solid modeling by implicit curved surfaces.
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Conference papers
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https://hal.inria.fr/inria-00099925
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Submitted on : Tuesday, September 26, 2006 - 10:09:55 AM
Last modification on : Thursday, November 22, 2018 - 2:45:33 PM
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  • HAL Id : inria-00099925, version 1

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Laurent Dupont, Sylvain Lazard, Daniel Lazard, Sylvain Petitjean. Near-Optimal Parameterization of the Intersection of Quadrics: Theory and Implementation. International Conference on Polynomial System Solving - ICPSS 2004, 2004, Paris, France, 3 p. ⟨inria-00099925⟩

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