Target Identification Using Dictionary Matching of Generalized Polarization Tensors
Optimization and Control
2013-02-27 v2 Mathematical Physics
Analysis of PDEs
math.MP
Numerical Analysis
Abstract
The aim of this paper is to provide a fast and efficient procedure for (real-time) target identification in imaging based on matching on a dictionary of precomputed generalized polarization tensors (GPTs). The approach is based on some important properties of the GPTs and new invariants. A new shape representation is given and numerically tested in the presence of measurement noise. The stability and resolution of the proposed identification algorithm is numerically quantified.
Cite
@article{arxiv.1204.3035,
title = {Target Identification Using Dictionary Matching of Generalized Polarization Tensors},
author = {Habib Ammari and Thomas Boulier and Josselin Garnier and Wenjia Jing and Hyœnbæ Kang and Han Wang},
journal= {arXiv preprint arXiv:1204.3035},
year = {2013}
}
Comments
Keywords: generalized polarization tensors, target identification, shape representation, stability analysis. Submitted to Foundations of Computational Mathematics