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Computational Geometry
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Computational Geometry
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Computing homotopic shortest paths efficiently

Authors: Alon Efrat; Stephen G. Kobourov; Anna Lubiw;

Computing homotopic shortest paths efficiently

Abstract

This paper addresses the problem of finding shortest paths homotopic to a given disjoint set of paths that wind amongst point obstacles in the plane. We present a faster algorithm than previously known.

12 pages, 11 figures

Keywords

Computational Geometry (cs.CG), FOS: Computer and information sciences, Control and Optimization, I.3.5, Homotopic shortest paths, algorithms, Computer Science Applications, Shortest path in a polygon, Computational Mathematics, Computational Theory and Mathematics, Numerical aspects of computer graphics, image analysis, and computational geometry, computational geometry, Computer Science - Computational Geometry, Geometry and Topology, F.2.2, I.3.5;F.2.2

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
38
Average
Top 10%
Top 10%
Green
hybrid