Determination of derivatives of transfer resistance on surface conductivity of finite elements by the conductivity method for solving the forward problem of Electrical Impedance Tomography
Journal Title: Вісник НТУУ КПІ. Серія Радіотехніка, Радіоапаратобудування - Year 2011, Vol 0, Issue 44
Abstract
The equation of derivative of square finite element surface conductivity, which is located in the arbitrary place of the domain, with current excitation on internal knots of the domain is got in this article. Calculation of transfer resistance of zones for zone and ray conductivity method due to complication of such equation with great number of finite elements is offered. These equations aren’t depended on shape of finite elements, but they are depended on shape of zones. Reduction of order of matrix for decreasing of labour intensiveness of operation is proposed. It is necessary due to the presence of great number of internal knots, which are deleted with equivalent transformations. The equivalent transformation of inverse matrix consists on deletion rows and columns with numbers of internal knots from matrix of all phantom, and for calculation of each column of transfer resistance derivatives it consists on deletion of zero rows and columns for this zone or that are multiplied with zero columns of conductivity matrix of zone.
Authors and Affiliations
I. Rybina, A. Rybin, O. Sharpan
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