Paper
29 April 2008 Combining dipole and mixed model approaches for UXO discrimination
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Abstract
A multi dipole (MD) model is combined with a statistical algorithm called the mixed model to discriminate between objects of interest, such as unexploded ordnance (UXO), and innocuous items. In the multi dipole model (an extended version of the single dipole model), electromagnetic induction (EMI) responses for bodies of revolution (BOR) are approximated with a set of dipoles placed along the axis of symmetry of the objects. The model accurately takes into account the scatterer's heterogeneity along its axis of symmetry and is fast enough to invert digital geophysical data for discrimination purposes in real/near real time. Determining the amplitudes of the multi dipoles is an ill-posed problem that requires regularization. Obtaining the regularization parameters is not straightforward and in many cases is done via impractical supervised approaches. To overcome this problem, in this paper we combine a new statistical approach called the mixed model with the multi dipole model. Mixed modeling (MM) can be viewed as a generalization of the empirical Bayesian approach. It assumes that the forward model is not perfect: i.e., the model parameters (the amplitudes of the responding multi magnetic dipoles) contain random noise with zero mean and constant variance. Based on these assumptions, the method derives the regularization parameter from the variance of the least square error between the model and actual data using standard linear regression. Numerical results are presented to illustrate the theoretical basis and practical realization of the combined MD-mixed model (MD-MM) algorithm for UXO discrimination under real field conditions. In addition, a new condensed algorithm for determining the location and orientation of buried objects is introduced and tested against the ESTCP pilot discrimination study dynamic data set.
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Fridon Shubitidze, Eugene Demidenko, Benjamin E. Barrowes, Irma Shamatava, Juan P. Fernández, and Kevin O'Neill "Combining dipole and mixed model approaches for UXO discrimination", Proc. SPIE 6953, Detection and Sensing of Mines, Explosive Objects, and Obscured Targets XIII, 695305 (29 April 2008); https://doi.org/10.1117/12.777868
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Cited by 7 scholarly publications.
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KEYWORDS
Data modeling

Magnetism

Electromagnetic coupling

Statistical modeling

Sensors

Polarizability

Mathematical modeling

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