Paper Info
Title
A One-Step Crust and Skeleton Extraction Algorithm
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.
Year
DOI
Venue
2001
10.1007/s00453-001-0014-x
Algorithmica
Keywords
Field
DocType
Key words. Curve reconstruction,Medial axis,Voronoi diagram,Planar subdivision,Scanned maps,Topology building in GIS.
Polygon,Combinatorics,Vertex (geometry),Crust,Computational geometry,Medial axis,Diagram,Voronoi diagram,Skeleton (computer programming),Mathematics
Journal
Volume
Issue
ISSN
30
2
0178-4617
Citations 
PageRank 
References 
36
1.95
18
Authors
2
Name
Order
Citations
PageRank
Christopher M. Gold128935.07
Jack Snoeyink22842231.68