Art gallery theorems and algorithms
Art gallery theorems and algorithms
Constrained Delaunay triangulations
SCG '87 Proceedings of the third annual symposium on Computational geometry
Voronoi diagrams with barriers and the shortest diagonal problem
Information Processing Letters
Introduction to algorithms
An output-sensitive algorithm for computing visibility
SIAM Journal on Computing
On the Peeper's Voronoi diagram
ACM SIGACT News
Computational geometry: algorithms and applications
Computational geometry: algorithms and applications
Finding constrained and weighted Voronoi diagrams in the plane
Computational Geometry: Theory and Applications
Exposure in wireless Ad-Hoc sensor networks
Proceedings of the 7th annual international conference on Mobile computing and networking
Worst and Best-Case Coverage in Sensor Networks
IEEE Transactions on Mobile Computing
Coverage in wireless ad hoc sensor networks
IEEE Transactions on Computers
Review: Coverage and connectivity issues in wireless sensor networks: A survey
Pervasive and Mobile Computing
Algorithms for computing Best Coverage Path in the presence of obstacles in a sensor field
Journal of Discrete Algorithms
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We study the presence of obstacles in computing BCP(s, t) (Best Coverage Path between two points s and t) in a 2D field under surveillance by sensors. Consider a set of m line segment obstacles and n point sensors on the plane. For any path between s to t, p is the least protected point along the path such that the Euclidean distance between p and its closest sensor is maximum. This distance (the path's cover value) is minimum for a BCP(s, t). We present two algorithmic results. For opaque obstacles, i.e., which obstruct paths and block sensing capabilities of sensors, computation of BCP(s, t) takes O((m2n2 + n4) log(mn + n2)) time and O(m2n2 +n4) space. For transparent obstacles, i.e., which only obstruct paths, but allows sensing, computation of BCP(s, t) takes O(nm2 + n3) time and O(m2 + n2) space. We believe, this is one of the first efforts to study the presence of obstacles in coverage problems in sensor networks.