Multidimensional Systems and Signal Processing
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A scale-recursive algorithm is presented for the detection and characterization of anomalous structures in a medium based upon observations of scattered radiation obtained along the boundary of the region. A nonlinear scattering model based upon Maxwell's equation is used to relate the anomalous structures to the measured fields. Decision- and estimation-theoretic techniques are employed to (a) identify large-scale areas in which such anomalies are present and (b) spatially refine these estimated regions to better localize the true anomalous structures. Examples are presented from a low-frequency inverse conductivity problem drawn from the field of geophysical signal processing.