Distributed representation of spatial fields through an adaptive interpolation scheme

Sonia Martı́nez · Proceedings of the ... American Control Conference/Proceedings of the American Control Conference · 2007

We present a procedure to adapt an interpolation scheme to represent spatial fields as they are measured by a mobile sensor network. The procedure incorporates new sensor (synchronous) measurements in a similar fashion to a Kalman filter-like recursion. Using ideas from distributed consensus algorithms, we show how the scheme corresponding to nearest-neighbor interpolations admits decentralization over a directed proximity graph related to the Delaunay graph.

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