Abstract.
We wish to extract the topology from scanned maps. In previous work [GNY] this was done by extracting a skeleton from the Voronoi diagram, but this required vertex labelling and was only useable for polygon maps. We wished to take the crust algorithm of Amenta et al. [ABE] and modify it to extract the skeleton from unlabelled vertices. We find that by reducing the algorithm to a local test on the original Voronoi diagram we may extract both a crust and a skeleton simultaneously, using a variant of the Quad-Edge structure of [GS]. We show that this crust has the properties of the original, and that the resulting skeleton has many practical uses. We illustrate the usefulness of the combined diagram with various applications.
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Received January 17, 1999; revised December 1, 1999.
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Gold, C., Snoeyink, J. A One-Step Crust and Skeleton Extraction Algorithm. Algorithmica 30, 144–163 (2001). https://doi.org/10.1007/s00453-001-0014-x
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DOI: https://doi.org/10.1007/s00453-001-0014-x