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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [22 references]  Display  Hide  Download


https://hal.inria.fr/hal-01586511
Contributor : Olivier Devillers <>
Submitted on : Tuesday, September 12, 2017 - 11:05:48 PM
Last modification on : Wednesday, October 30, 2019 - 7:36:17 PM
Long-term archiving on : Wednesday, December 13, 2017 - 6:49:37 PM

Files

qsp.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

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. ⟨10.20382/jocg.v8i1a11⟩. ⟨hal-01586511⟩

Share

Metrics

Record views

389

Files downloads

83