Basic Principles of Computed Tomography

The boundary conditions when one electrode is excited with a fixed voltage Vo and all other electrodes are kept at zero potential, as occurs during the measurement procedure, were specified as [60]  

The commonly used algorithm to reconstruct the voidage distribution is the linear back projection (LBP) algorithm [60, 118, 193, 202, 235]. In this procedure the operator T is linearized by use of the so-called hard-fleld assumption. The linearization and discretization process can be expressed as  

For a body having electrical and magnetic material properties that are linear, isotropic and non-dispersive, the EMT sensors are governed by [94, 156, 211]  

The goal in electrical impedance (EIT) tomography is to reconstruct the resisivity or more general the admittivity distribution of the interior of the vessel or pipeline based on the knowledge of the injected currents and measured voltages on the surface 

A reduced set of governing equations can be used for BIT when a low frequancy or direct current is used, i.e., tu 0, thus the complete model is approximated as [203]  

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C. L. Morgan, In Basic Principles of Computer Tomography. University Park Press, Baltimore, 1983 (Chapter 5). 

Morgan CL. Principles of computed tomography combined translational-rotational scanning systems, Basic Principles of Computed Tomography. Baltimore, MD University Park Press, 1983 19-68. 

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