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» Finding the Shortest Watchman Route in a Simple Polygon
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SIROCCO
2001
13 years 7 months ago
Competitive Online Routing in Geometric Graphs
We consider online routing algorithms for finding paths between the vertices of plane graphs. Although it has been shown in Bose et al. [4] that there exists no competitive routin...
Prosenjit Bose, Pat Morin
COMGEO
2006
ACM
13 years 5 months ago
Computing homotopic shortest paths efficiently
Geometric shortest paths are a major topic in computational geometry; see the survey paper by Mitchell [12]. A shortest path between two points in a simple polygon can be found in...
Alon Efrat, Stephen G. Kobourov, Anna Lubiw
ICCSA
2004
Springer
13 years 11 months ago
A Robust and Fast Algorithm for Computing Exact and Approximate Shortest Visiting Routes
Abstract. Given a simple n-sided polygon in the plane with a boundary partitioned into subchains some of which are convex and colored, we consider the following problem: Which is t...
Håkan Jonsson
COMPGEOM
1994
ACM
13 years 9 months ago
Competitive Searching in a Generalized Street
We consider the problem of a robot which has to find a target in an unknown simple polygon, based only on what it has seen so far. A street is a polygon for which the two boundary...
Amitava Datta, Christian Icking
ALGOSENSORS
2008
Springer
13 years 7 months ago
Simple Robots in Polygonal Environments: A Hierarchy
With the current progress in robot technology and related areas, sophisticated moving and sensing capabilities are at hand to design robots capable of solving seemingly complex tas...
Jan Brunner, Matús Mihalák, Subhash ...