Title
Planar Matchings for Weighted Straight Skeletons
Abstract
In this paper, we introduce planar matchings on directed pseudo-line arrangements, which yield a planar set of pseudo-line segments such that only matching-partners are adjacent. By translating the planar matching problem into a corresponding stable roommates problem we show that such matchings always exist. Using our new framework, we establish, for the first time, a complete, rigorous definition of weighted straight skeletons, which are based on a so-called wavefront propagation process. We present a generalized and unified approach to treat structural changes in the wavefront that focuses on the restoration of weak planarity by finding planar matchings.
Year
DOI
Venue
2014
10.1007/978-3-319-13075-0_10
ALGORITHMS AND COMPUTATION, ISAAC 2014
Keywords
DocType
Volume
Planar matchings,Pseudo-line arrangements,Stable roommates,Weighted straight skeletons
Conference
8889
Issue
ISSN
Citations 
3-4
0302-9743
1
PageRank 
References 
Authors
0.39
7
3
Name
Order
Citations
PageRank
Therese Biedl1902106.36
Stefan Huber2243.38
Peter Palfrader3175.57