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Scattering Coefficients of Inhomogeneous Objects and Their Application in Target Classification in Wave Imaging

by L. Baldassari

(Report number 2018-23)

Abstract
The aim of this paper is to provide and numerically test in the presence of measurement noise a procedure for target classification in wave imaging based on comparing frequency-dependent distribution descriptors with precomputed ones in a dictionary of learned distributions. Distribution descriptors for inhomogeneous objects are obtained from the scattering coefficients. First, we extract the scattering coefficients of the (inhomogeneous) target from the perturbation of the echoes. Then, for a collection of inhomogeneous targets, we build a frequency-dependent dictionary of distribution descriptors and use a matching algorithm in order to identify a target from the dictionary up to some translation, rotation and scaling.

Keywords: Helmholtz equation, Scattering coefficients, Inhomogeneous objects, Asymptotic expansion, Neumann-to-Dirichlet map, Target classification

@Techreport{B18_777,
  author = {L. Baldassari},
  title = {Scattering Coefficients of Inhomogeneous Objects and Their Application in Target Classification in Wave Imaging},
  institution = {Seminar for Applied Mathematics, ETH Z{\"u}rich},
  number = {2018-23},
  address = {Switzerland},
  url = {https://www.sam.math.ethz.ch/sam_reports/reports_final/reports2018/2018-23.pdf },
  year = {2018}
}

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