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Anisotropic Electrical Impedance Imaging Technology Based on Transforming Medium Theory

  • Yannan Tian,
  • Jianjun Xu,
  • Chao Zhang,
  • Guoqiang Liu,
  • Xiaokuo Liu

摘要

Electrical impedance technology (EIT) is a portable functional imaging approach with exciting potential in a wide range of industries. The electrical conductivity of biological tissues is often treated as isotropic in the currently popular electrical impedance imaging approaches. In actuality, there is a noticeable anisotropy in the electrical conductivity of different biological tissues, and this anisotropy has a substantial impact on the imaging result. This work offers an electrical impedance imaging method based on transformation media theory that enables anisotropic impedance imaging of tissues in order to further explore this idea. A quasi-conformal mapping transformation modifies anisotropic conductivity and corresponding isotropic conductivity inside a virtual coordinate system. The accuracy of the anisotropic to isotropic transformation is confirmed by a comparison using finite element analysis between the electrical signals, electric field intensity, and current density produced by various types of anisotropic conductivity models and their corresponding trans-formed isotropic conductivity models. This work inverts the conductivity of the analogous isotropic model using the LBP algorithm, Land-Weber algorithm, and Thinknov algorithm. Additionally, it conforms to the limitations of the transformational connection while achieving the representation of anisotropic conductivity.