Computational aspects of low frequency electrical and electromagnetic tomography: A review study

This paper studies various mathematical methods for image recon- struction in electrical impedance and magnetic induction tomography. Linear, nonlinear and semilinear methods for the inverse problems are studied. De- pending on the application, one of these methods can be selected as the image reconstruction algorithm. Linear methods are suitable for low contrast imag- ing, and nonlinear methods are used when more accurate imaging results are required. A semilinear method can be used to preserve some properties of the nonlinear inverse solver and at the same time can have some advantages in com- putational time. Methods design speciflcally for jump in material distribution as well as dynamical imaging have been reviewed.

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