Planar Matchings for Weighted Straight Skeletons [chapter]

Therese Biedl, Stefan Huber, Peter Palfrader
2014 Lecture Notes in Computer Science  
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
more » ... esent a generalized and unified approach to treat structural changes in the wavefront that focuses on the restoration of weak planarity by finding planar matchings.
doi:10.1007/978-3-319-13075-0_10 fatcat:2nmwqmfeuveidllhothwgh4od4