Qualitative symbolic perturbation: two applications of a new geometry-based perturbation framework

Olivier Devillers, Menelaos Karavelas, Monique Teillaud

Abstract



In a classical Symbolic Perturbation scheme, degeneracies are handled by substituting some polynomials in $\varepsilon$ 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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DOI: http://dx.doi.org/10.20382/jocg.v8i1a11

ISSN: 1920-180X