Evasion Paths in Mobile Sensor Networks
This addresses the problem of intrusion detection in mobile sensor networks for security applications, offering theoretical insights but with incremental advances in specific scenarios.
The paper tackles the problem of detecting evasion paths in mobile sensor networks, showing that necessary and sufficient conditions depend on the embedding of sensor coverage in spacetime, and provides such conditions for planar sensors with rotation and distance data.
Suppose that ball-shaped sensors wander in a bounded domain. A sensor doesn't know its location but does know when it overlaps a nearby sensor. We say that an evasion path exists in this sensor network if a moving intruder can avoid detection. In "Coordinate-free coverage in sensor networks with controlled boundaries via homology", Vin deSilva and Robert Ghrist give a necessary condition, depending only on the time-varying connectivity data of the sensors, for an evasion path to exist. Using zigzag persistent homology, we provide an equivalent condition that moreover can be computed in a streaming fashion. However, no method with time-varying connectivity data as input can give necessary and sufficient conditions for the existence of an evasion path. Indeed, we show that the existence of an evasion path depends not only on the fibrewise homotopy type of the region covered by sensors but also on its embedding in spacetime. For planar sensors that also measure weak rotation and distance information, we provide necessary and sufficient conditions for the existence of an evasion path.