Graph-Theoretic Solutions to Computational Geometry Problems

@inproceedings{Eppstein2009GraphTheoreticST,
  title={Graph-Theoretic Solutions to Computational Geometry Problems},
  author={David Eppstein},
  booktitle={WG},
  year={2009}
}
Many problems in computational geometry are not stated in graphtheoretic terms, but can be solved efficiently by constructing an auxiliary graph and performing a graph-theoretic algorithm on it. Often, the efficiency of the algorithm depends on the special properties of the graph constructed in this way. We survey the art gallery problem, partition into rectangles, minimum-diameter clustering, rectilinear cartogram construction, mesh stripification, angle optimization in tilings, and metric… CONTINUE READING

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