A One-Step Crust and Skeleton Extraction Algorithm
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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.
- A One-Step Crust and Skeleton Extraction Algorithm
Volume 30, Issue 2 , pp 144-163
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- Key words. Curve reconstruction, Medial axis, Voronoi diagram, Planar subdivision, Scanned maps, Topology building in GIS.
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- A1. Department of Land Surveying and Geo-Informatics, Hong Kong Polytechnic University, Hung Hom, Kowloon, Hong Kong, and Department of Geomatics, Laval University, Quebec City, Quebec, Canada., CA
- A2. Department of Computer Science, University of North Carolina at Chapel Hill, NC 27599-3125, USA, and Department of Computer Science, University of British Columbia, Vancouver, BC, Canada., US