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Journal Articles Journal of Computational Geometry Year : 2017

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

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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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Computer Science [cs] Computational Geometry [cs.CG]
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Olivier Devillers  : Connect in order to contact the contributor

https://hal.inria.fr/hal-01586511

Submitted on : Tuesday, September 12, 2017-11:05:48 PM

Last modification on : Tuesday, October 25, 2022-4:18:42 PM

Long-term archiving on: Wednesday, December 13, 2017-6:49:37 PM

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hal-01586511 , version 1 (12-09-2017)

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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, 2017, 8 (1), pp.282--315. ⟨10.20382/jocg.v8i1a11⟩. ⟨hal-01586511⟩

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