Qualitative Symbolic Perturbation: Two Applications of a New Geometry-based Perturbation Framework

Abstract : In a classical Symbolic Perturbation scheme, degeneracies are handled by substituting some polynomials in ε for the inputs of a predicate. Instead of a single perturbation, we propose to use a sequence of (simpler) perturbations. Moreover, we look at their effects geometrically instead of algebraically; this allows us to tackle cases that were not tractable with the classical algebraic approach.
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Journal of Computational Geometry, Carleton University, Computational Geometry Laboratory, 2017, 8 (1), pp.282--315. <http://jocg.org/index.php/jocg/article/view/253>. <10.20382/jocg.v8i1a11>
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Contributeur : Olivier Devillers <>
Soumis le : mardi 12 septembre 2017 - 23:05:48
Dernière modification le : vendredi 22 septembre 2017 - 15:29:09

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Olivier Devillers, Menelaos Karavelas, Monique Teillaud. Qualitative Symbolic Perturbation: Two Applications of a New Geometry-based Perturbation Framework. Journal of Computational Geometry, Carleton University, Computational Geometry Laboratory, 2017, 8 (1), pp.282--315. <http://jocg.org/index.php/jocg/article/view/253>. <10.20382/jocg.v8i1a11>. <hal-01586511>

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