This part of my research started "by accident"... I was learning about the properties of the Bernstein polynomials and their use in generating Bezier curves, when I stumbled upon the work on tributaries and deltas multipath paradigm for WSNs. Then, some thoughts and chats followed about alternating possible paths, and then there was the idea of a distributed computation of a family of Bezier curves and deciding which node belongs to which family... Tying that with tracking in WSN seemed "somewhat-logical" (from the perspective of routing stuctures) and then followed the collaboration with Ashfak Khokhar on the NSF-NeTS grant and the projects with his PhD student Mohamed Ali, related to in-network indexing. I was fortunate enough that, in addition to my PhD students (Besim Avci and Oliviu Ghica, at that time), I had the pre-doctoral scholar (Mr. Fan Zhou) visiting me for a couple of years, which helped in coming up with further results related to tracking.
Some of the works in this "arena" are variations on the works done in the topic of applying computational geometry ideas in spatio-temporal data management (e.g., the motion-trends detection, hole-bypassing), for which credits and gratitude for useful discussions are due to Roberto Tamassia and Herve Bronnimann. Also, some of the recent works have touched upon the issue of security in the context of multipath routing (credits due to Cristina N. Rotaru).
The SIDnet SWANS project (formerly called SNSim ) provides a simulator that combines visual and textual interaction with the modeled environment. It enables a visualization of the status of the wireless sensor network at different levels of granularity - from (sub)set of nodes, through the routing structures employed, down to an individual node. It also provides opportunities to specify various fluctuations of the phenomena under consideration (e.g., temperature, humidity, motion), as well as a few batch-mode tools to enable gathering various statistics of interest. The demonstration of the project was given at SenSys 2008, with the former PhD student Oliviu Ghica being the main developer.
Last, but not the least, there have been a few undergraduates and MS students whose involvement in my EECS 369 (Introduction to Sensor Networks) course has taken part in various contributions related to this part of my research.
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