TY - JOUR
T1 - Computational Aspects of Low Frequency Electrical and Electromagnetic Tomography: A Review Study
AU - Soleimani , Manuchehr
JO - International Journal of Numerical Analysis and Modeling
VL - 3
SP - 407
EP - 440
PY - 2008
DA - 2008/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnam/819.html
KW - electrical impedance tomography, electrical capacitance tomography, magnetic induction tomography, magnetostatic permeability tomography, inverse problems.
AB - <p style="text-align: justify;">This paper studies various mathematical methods for image
reconstruction in electrical impedance and magnetic induction
tomography. Linear, nonlinear and semilinear methods for the inverse
problems are studied. Depending on the application, one of these methods
can be selected as the image reconstruction algorithm. Linear methods
are suitable for low contrast imaging, 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 computational time. Methods
design specifically for jump in material distribution as well as
dynamical imaging have been reviewed.</p>