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Terrain Visibility with Multiple Viewpoints

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Algorithms and Computation (ISAAC 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 8283))

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Abstract

We study the problem of visibility in polyhedral terrains in the presence of multiple viewpoints. We consider three fundamental visibility structures: the visibility map, the colored visibility map, and the Voronoi visibility map. We study the complexity of each structure for both 1.5D and 2.5D terrains, and provide efficient algorithms to construct them. Our algorithm for the visibility map in 2.5D terrains improves on the only existing algorithm in this setting.

F. H., V. S., and R.I. S. were partially supported by projects Gen. Cat. DGR 2009SGR1040, MINECO MTM2012-30951 and ESF EuroGIGA-ComPoSe - MICINN EUI-EURC-2011-4306. M. L. and F. S. were supported by Netherlands Organisation for Scientific Research (NWO) under project no 639.021.123 and 612.001.022. I. M. was supported by FCT project PEst-C/MAT/UI4106/2011 with COMPETE number FCOMP-01-0124-FEDER-022690. M.  S. was supported by projects F.R.S.-FNRS - EUROGIGA NR 13604 and GAČR GIG/11/E023. R.I. S. was partially supported by the FP7 Marie Curie Actions Individual Fellowship PIEF-GA-2009-251235, and by FCT through grant SFRH/BPD/88455/2012.

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Author information

Authors and Affiliations

  1. Dept. Matemàtica Aplicada II, Universitat Politècnica de Catalunya, Spain

    Ferran Hurtado, Inês Matos, Vera Sacristán & Rodrigo I. Silveira

  2. Dept. of Information and Computing Sciences, Universiteit Utrecht, The Netherlands

    Maarten Löffler & Frank Staals

  3. Dept. de Matemática, Universidade de Aveiro, Portugal

    Rodrigo I. Silveira

  4. Dept. de Matemática & CIDMA, Universidade de Aveiro, Portugal

    Inês Matos

  5. Département d’Informatique, Université Libre de Bruxelles, Belgium

    Maria Saumell

Authors
  1. Ferran Hurtado
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  2. Maarten Löffler
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  3. Inês Matos
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  4. Vera Sacristán
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  5. Maria Saumell
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  6. Rodrigo I. Silveira
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  7. Frank Staals
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Editor information

Editors and Affiliations

  1. Department of Computer Science and Engineering, Chinese University of Hong Kong, Shatin, 100084, Hong Kong, China

    Leizhen Cai

  2. Department of Computer Science and Engineering, Hong Kong University of Science and Technology, Clear Water Bay, 100044, Hong Kong, China

    Siu-Wing Cheng

  3. Department of Computer Science, University of Hong Kong, Porfkulam, 100084, Hong Kong, China

    Tak-Wah Lam

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© 2013 Springer-Verlag Berlin Heidelberg

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Hurtado, F. et al. (2013). Terrain Visibility with Multiple Viewpoints. In: Cai, L., Cheng, SW., Lam, TW. (eds) Algorithms and Computation. ISAAC 2013. Lecture Notes in Computer Science, vol 8283. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-45030-3_30

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  • DOI: https://doi.org/10.1007/978-3-642-45030-3_30

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-45029-7

  • Online ISBN: 978-3-642-45030-3

  • eBook Packages: Computer ScienceComputer Science (R0)

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