Resolution and stability analysis in acousto-electric imaging∗

نویسندگان

  • Habib Ammari
  • Josselin Garnier
  • Wenjia Jing
چکیده

We consider the optimization approach to the acousto-electric imaging problem. Assuming that the electric conductivity distribution is a small perturbation of a constant, we investigate the least square estimate analytically using (multiple) Fourier series, and confirm the widely observed fact that acousto-electric imaging has high resolution and is statistically stable. We also analyze the case of partial data and the case of limited-view data, in which some singularities of the conductivity can still be imaged. Mathematics Subject Classification (MSC2000): 35R30, 35R60

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تاریخ انتشار 2012