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Reports Year : 1997

Removing Degeneracies by Perturbing the Problem or the World

Pierre Alliez
Olivier Devillers
Jack Snoeyink
  • Function : Author

Abstract

We describe two problem-specific approaches to remove geometric degeneracies that we call {\it perturbing the problem} and {\it perturbing the world}. Using as our primary examples 2-d and 3-d Delaunay triangulation with Euclidean and polygonal metrics, we show that these approaches lead to relatively simple and efficient perturbations of the points that do not depend on a fixed ordering or index. Thus, they produce canonical output, which is important for producing test suites and verifiers for randomized or dynamic geometric algorithms.
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Dates and versions

inria-00073373 , version 1 (24-05-2006)

Identifiers

  • HAL Id : inria-00073373 , version 1

Cite

Pierre Alliez, Olivier Devillers, Jack Snoeyink. Removing Degeneracies by Perturbing the Problem or the World. RR-3316, INRIA. 1997. ⟨inria-00073373⟩
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