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Reconstruction of GPTs from MSR Measurements

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Part of the Lecture Notes in Mathematics book series (LNM,volume 2098)

Abstract

This chapter aims to reconstruct GPTs from MSR measurements. We consider the effect of the presence of measurement noise in the MSR on the reconstruction of the GPTs of a small conductivity inclusion. Given a signal-to-noise ratio, we determine the statistical stability in the reconstruction of the GPTs, and show that such an inverse problem is exponentially unstable. This is the well-known ill-posedness of the inverse conductivity problem.

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© 2013 Springer International Publishing Switzerland

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Ammari, H. et al. (2013). Reconstruction of GPTs from MSR Measurements. In: Mathematical and Statistical Methods for Multistatic Imaging. Lecture Notes in Mathematics, vol 2098. Springer, Cham. https://doi.org/10.1007/978-3-319-02585-8_10

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