Property Testing in Computational Geometry

  • Authors:
  • Artur Czumaj;Christian Sohler;Martin Ziegler

  • Affiliations:
  • -;-;-

  • Venue:
  • ESA '00 Proceedings of the 8th Annual European Symposium on Algorithms
  • Year:
  • 2000

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Abstract

We consider the notion of property testing as applied to computational geometry. We aim at developing efficient algorithms which determine whether a given (geometrical) object has a predetermined property Q or is "far" from any object having the property. We show that many basic geometric properties have very efficient testing algorithms, whose running time is significantly smaller than the object description size.