Quickest paths, straight skeletons, and the city Voronoi diagram

  title={Quickest paths, straight skeletons, and the city Voronoi diagram},
  author={Oswin Aichholzer and Franz Aurenhammer and Bel{\'e}n Palop},
  booktitle={Symposium on Computational Geometry},
The city Voronoi diagram is induced by quickest paths, in the L 1 plane speeded up by an isothetic transportation network. We investigate the rich geometric and algorithmic properties of city Voronoi diagrams, and report on their use in processing quickest-path queries.In doing so, we revisit the fact that not every Voronoi-type diagram has interpretations in both the distance model and the wavefront model. Especially, straight skeletons are a relevant example where an interpretation in the… CONTINUE READING

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