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Near-Optimal Parameterization of the Intersection of Quadrics : II A classification of Pencils

Identifieur interne : 005E26 ( Main/Exploration ); précédent : 005E25; suivant : 005E27

Near-Optimal Parameterization of the Intersection of Quadrics : II A classification of Pencils

Auteurs : Laurent Dupont ; Daniel Lazard ; Sylvain Lazard ; Sylvain Petitjean

Source :

RBID : CRIN:dupont05b

English descriptors

Abstract

While Part I [2] of this paper was devoted mainly to quadrics intersecting in a smooth quartic, we now focus on singular intersections. To produce optimal or near-optimal parameterizations in all cases, we first determine the the real type of the intersection before computing the actual parameterization. In this second part, we present the first classification of pencils of quadrics based on the type of the real intersection and we show how this classification can be used to compute efficiently the type of the real intersection. The near-optimal parameterization algorithms in all singular cases will be given in Part III [3].


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Le document en format XML

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