Qualitative Symbolic Perturbation

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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Olivier Devillers, Menelaos Karavelas, Monique Teillaud. Qualitative Symbolic Perturbation. SoCG 2016 - International Symposium on Computational Geometry, Jun 2016, Boston, United States. pp.33:1-33:15, ⟨10.4230/LIPIcs.SoCG.2016.33⟩. ⟨hal-01276444⟩

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