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Scattering coefficients of inhomogeneous objects and their application in target classification in wave imaging

Part of: Partial differential equations, boundary value problems Partial differential equations Miscellaneous topics - Partial differential equations

Published online by Cambridge University Press:  03 July 2019

LORENZO BALDASSARI Open the ORCID record for LORENZO BALDASSARI [Opens in a new window]
LORENZO BALDASSARI*
Affiliation:
Department of Mathematics, ETH Zürich, Rämistrasse 101, CH-8093 Zürich, Switzerland e-mail: lorenzo.baldassari@sam.math.ethz.ch
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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 reflected waves. 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

Target classificationinhomogeneous inclusionsscattering coefficientsfrequency-dependent distribution descriptorsFar-field measurements

MSC classification

Primary: 65N21: Inverse problems
Secondary: 35R30: Inverse problems 35B30: Dependence of solutions on initial and boundary data, parameters 65Z05: Applications to physics
Type
Papers
Information
European Journal of Applied Mathematics , Volume 31 , Issue 4 , August 2020 , pp. 553 - 573
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Copyright
© Cambridge University Press 2019

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