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Discrepancy theory and computational geometry

  • Session 1: Invited Lecture
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Algorithms and Data Structures (WADS 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1272))

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Abstract

The recent development of a theory of computational-geometric sampling has revolutionized the design of geometric algorithms, and led to the solution of some of the most outstanding problems in the field. Much of this development owes to the interplay between computational geometry and discrepancy theory. This talk will discuss some intriguing aspects of this development, including the use of data structuring ideas to prove theorems in discrepancy theory.

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References

  1. Chazelle, B. Computational geometry: a retrospective, in “Computing in Euclidean Geometry” (2nd Edition), Eds. D.-Z. Du and F. Hwang, World Scientific Press (1995), 22–46.

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  2. Chazelle, B. Discrepancy and Derandomization, book in preparation, 1997.

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  5. Matoušek, J. Geometric Discrepancy, book in preparation, 1997.

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Authors

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Frank Dehne Andrew Rau-Chaplin Jörg-Rüdiger Sack Roberto Tamassia

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© 1997 Springer-Verlag Berlin Heidelberg

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Chazelle, B. (1997). Discrepancy theory and computational geometry. In: Dehne, F., Rau-Chaplin, A., Sack, JR., Tamassia, R. (eds) Algorithms and Data Structures. WADS 1997. Lecture Notes in Computer Science, vol 1272. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63307-3_43

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  • DOI: https://doi.org/10.1007/3-540-63307-3_43

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63307-5

  • Online ISBN: 978-3-540-69422-9

  • eBook Packages: Springer Book Archive

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