The continuous 1.5D terrain guarding problem: Discretization, optimal solutions, and PTAS

In the NP-hard continuous 1.5D Terrain Guarding Problem (TGP) we are given an $x$-monotone chain of line segments in $R^2$ (the terrain $T$), and ask for the minimum number of guards (located anywhere on $T$) required to guard all of $T$. We construct guard candidate and witness sets $G, W \subset T...

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Bibliographic Details
Main Authors: Stephan Friedrichs, Michael Hemmer, James King, Christiane Schmidt
Format: Article
Language:English
Published: Carleton University 2016-05-01
Series:Journal of Computational Geometry
Online Access:http://jocg.org/index.php/jocg/article/view/242

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