2010 IEEE International Conference on Robotics and Automation 2010
DOI: 10.1109/robot.2010.5509696
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Voronoi coverage of non-convex environments with a group of networked robots

Abstract: This paper presents a solution to decentralized Voronoi coverage in non-convex polygonal environments. We show that complications arise when existing approaches to Voronoi coverage are applied for deploying a group of robots in non-convex environments. We present an algorithm that is guaranteed to converge to a local optimum. Our algorithm combines classical Voronoi coverage with the Lloyd algorithm and the local path planning algorithm TangentBug to compute the motion of the robots around obstacles and corner… Show more

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Cited by 187 publications
(138 citation statements)
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References 17 publications
(27 reference statements)
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“…Voronoi Diagram [2] is shown to be the best cell partition for the one-tier homogeneous networks and Lloydlike Algorithms are applied to minimize the distortions. A similar node deployment problem over a non-convex environment, where the nodes can be placed everywhere other than some obstacles, are considered in [39], [40]. The sensing coverage problem in heterogeneous WSNs where sensors have different sensing ranges is discussed in [41]- [43].…”
Section: Related Work and Applicationsmentioning
confidence: 99%
“…Voronoi Diagram [2] is shown to be the best cell partition for the one-tier homogeneous networks and Lloydlike Algorithms are applied to minimize the distortions. A similar node deployment problem over a non-convex environment, where the nodes can be placed everywhere other than some obstacles, are considered in [39], [40]. The sensing coverage problem in heterogeneous WSNs where sensors have different sensing ranges is discussed in [41]- [43].…”
Section: Related Work and Applicationsmentioning
confidence: 99%
“…Volonoi-based techniques are also another methods that do not require graph descriptions of the environments, such as Refs. [4], [6], [18]. However, these require computational costs that limit their applicability.…”
Section: Related Workmentioning
confidence: 99%
“…Environments with polygonal obstacles are considered in [63,7]. A solution to the multi-agent coverage problem for non-point robots in non-convex environments can be found in [51].…”
Section: Multi-agent Coverage and Spatial Load Balancingmentioning
confidence: 99%