InforLorV4, Main, Merge, bibRecord, 007463

Bernstein's basis and real root isolation

Identifieur interne : 007463 ( Main/Merge ); précédent : 007462; suivant : 007464

Bernstein's basis and real root isolation

Auteurs : Bernard Mourrain [France] ; Fabrice Rouillier [France] ; Marie-Françoise Roy

Source :

RBID : Hal:inria-00071434

Abstract

The Bernstein basis is widely used in Computer Aided Design. We explain how, combined with Descartes's rule, the Bernstein basis, provides as well an efficient method for real root isolation, using De Casteljau's algorithm, and make the link with more classical methods. Most of the content of the paper can be found in previous authors' articles. However, we present a new improved method for isolating real roots.

Url:

https://hal.inria.fr/inria-00071434

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Hal:inria-00071434

Le document en format XML

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<front><div type="abstract" xml:lang="en">The Bernstein basis is widely used in Computer Aided Design. We explain how, combined with Descartes's rule, the Bernstein basis, provides as well an efficient method for real root isolation, using De Casteljau's algorithm, and make the link with more classical methods. Most of the content of the paper can be found in previous authors' articles. However, we present a new improved method for isolating real roots.</div>
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   |texte=   Bernstein's basis and real root isolation
}}

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Bernstein's basis and real root isolation

Bernstein's basis and real root isolation

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