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Conference papers

Optimality of the parameterization of quadrics and their intersections

Daniel Lazard 1, 2
1 CALFOR - Calcul formel
LIP6 - Laboratoire d'Informatique de Paris 6
2 SPACES - Solving problems through algebraic computation and efficient software
INRIA Lorraine, LORIA - Laboratoire Lorrain de Recherche en Informatique et ses Applications
Abstract : It is shown that any intersection of two quadrics may be pamareterized with at most two square roots by components (except when the intersection consists in 4 colinear lines), and we provide an algorithm for computing which is always optimal in the number of square roots which are involved. However, in some cases, this optimality needs a sub-algorithm for finding a ratiaonal point on a conic, if any.
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Conference papers
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Submitted on : Tuesday, September 26, 2006 - 8:58:42 AM
Last modification on : Friday, February 4, 2022 - 4:17:49 AM
Long-term archiving on: : Wednesday, March 29, 2017 - 12:50:02 PM


  • HAL Id : inria-00099402, version 1


Daniel Lazard. Optimality of the parameterization of quadrics and their intersections. Journées de cloture Visi3D et CoSTIC, 2001, Paris, France. ⟨inria-00099402⟩



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