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Robustness and Randomness

Authors: Dominique Michelucci, Jean Michel Moreau, and Sebti Foufou

Published in: Dagstuhl Seminar Proceedings, Volume 6021, Reliable Implementation of Real Number Algorithms: Theory and Practice (2006)

Abstract

Robustness problems of computational geometry algorithms is a topic that has been subject to intensive research efforts from both computer science and mathematics communities. Robustness problems are caused by the lack of precision in computations involving floating-point instead of real numbers. This paper reviews methods dealing with robustness and inaccuracy problems. It discussed approaches based on exact arithmetic, interval arithmetic and probabilistic methods. The paper investigates the possibility to use randomness at certain levels of reasoning to make geometric constructions more robust.

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Dominique Michelucci, Jean Michel Moreau, and Sebti Foufou. Robustness and Randomness. In Reliable Implementation of Real Number Algorithms: Theory and Practice. Dagstuhl Seminar Proceedings, Volume 6021, pp. 1-23, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2006)

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@InProceedings{michelucci_et_al:DagSemProc.06021.8,
  author =	{Michelucci, Dominique and Moreau, Jean Michel and Foufou, Sebti},
  title =	{{Robustness and Randomness}},
  booktitle =	{Reliable Implementation of Real Number Algorithms: Theory and Practice},
  pages =	{1--23},
  series =	{Dagstuhl Seminar Proceedings (DagSemProc)},
  ISSN =	{1862-4405},
  year =	{2006},
  volume =	{6021},
  editor =	{Peter Hertling and Christoph M. Hoffmann and Wolfram Luther and Nathalie Revol},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/DagSemProc.06021.8},
  URN =		{urn:nbn:de:0030-drops-7167},
  doi =		{10.4230/DagSemProc.06021.8},
  annote =	{Keywords: Robustness, interval, randomness, inaccuracy, geometric computation}
}

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Robustness and Randomness

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