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Probing Convex Polytopes

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Autonomous Robot Vehicles

Abstract

We investigate the complexity of determining the shape and presentation (i.e. position with orientation) of convex polytopes in multi-dimensional Euclidean space using a variety of probe models.

NSF Grant MCS-83-03926 and DCR-85-05517

Amoco Foundation Faculty Development in Computer Science

NSF Grant DCR-84-01633 and DCR-84-01898

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References

  1. Herbert J. Bernstein, “Determining the shape of a convex n-sided polygon by using 2n+k tactile probes,” Information Processing Letters, 22, pp. 255–260 (1986).

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  2. Cole and C. Yap, “Shape from probing”, Journal of Algorithms, 8, pp. 19–38 (1987).

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Author information

Authors and Affiliations

  1. Department of Computer Science, Princeton University, Princeton, New Jersey, USA

    D. Dobkin

  2. Department of Computer Science, University of Illinois, Urbana-Champaign, Illinois, USA

    H. Edelsbrunner

  3. Courant Institute of Mathematical Sciences, New York University, New York, New York, USA

    C. K. Yap

Authors
  1. D. Dobkin
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  2. H. Edelsbrunner
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  3. C. K. Yap
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Editor information

Editors and Affiliations

  1. NEC Research Institute, 08540, Princeton, NJ, USA

    Ingemar J. Cox

  2. AT&T Bell Laboratories, 07974, Murray Hill, NJ, USA

    Gordon T. Wilfong

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© 1990 AT&T

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Dobkin, D., Edelsbrunner, H., Yap, C.K. (1990). Probing Convex Polytopes. In: Cox, I.J., Wilfong, G.T. (eds) Autonomous Robot Vehicles. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-8997-2_25

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  • DOI: https://doi.org/10.1007/978-1-4613-8997-2_25

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-8999-6

  • Online ISBN: 978-1-4613-8997-2

  • eBook Packages: Springer Book Archive

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