Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/34424
Title: A one-step crust and skeleton extraction algorithm
Authors: Gold, C
Snoeyink, J
Keywords: Curve reconstruction
Medial axis
Voronoi diagram
Planar subdivision
Scanned maps
Topology building in GIS
Issue Date: 2001
Publisher: Springer-Verlag
Source: Algorithmica, 2001, v. 30, no. 2, p. 144-163 How to cite?
Journal: Algorithmica
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.
URI: http://hdl.handle.net/10397/34424
ISSN: 0178-4617 (print)
1432-0541 (online)
DOI: 10.1007/s00453-001-0014-x
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