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.
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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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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
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