In this paper we introduce an efficient algorithm for identifying conductive objects using induction data derived from eddy currents. Our method consists of first extracting geometric features from the induction data and then matching them to precomputed data for known objects from a given dictionary. The matching step relies on fundamental properties of conductive polarization tensors and new invariants introduced in this paper. A new shape identification scheme is introduced and studied. We test it numerically in the presence of measurement noise. Stability and resolution capabilities of the proposed identification algorithm are quantified in numerical simulations. Mathematics Subject Classification (MSC2000): 35R30, 35B30
Ammari et al. identified conductive objects by extracting geometric features from the induction data and matching the features data for known objects from a given dictionary REF .
Detection and classification from electromagnetic induction data
arXiv: Analysis of PDEs
Mathematics Computer Science