NDLI: Quickest paths, straight skeletons, and the city Voronoi diagram

Content Provider	ACM Digital Library
Author	Aichholzer, Oswin Palop, Belén Aurenhammer, Franz
Abstract	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 former model is lacking. We clarify the relation between these models, and further draw a connection to the bisector-defined abstract Voronoi diagram model, with the particular goal of computing the city Voronoi diagram efficiently.
Starting Page	151
Ending Page	159
Page Count	9
File Format	PDF
ISBN	1581135041
DOI	10.1145/513400.513420
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	2002-06-05
Publisher Place	New York
Access Restriction	Subscribed
Subject Keyword	Wavefront model Voronoi diagram Transportation network Shortest path Straight skeleton
Content Type	Text
Resource Type	Article

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Quickest paths, straight skeletons, and the city Voronoi diagram