Modifikation of iteration algorithm for computing the surface conductivities increments solving the inverse problem of electrical impedance tomography

Abstract

Introduction. The replacement algorithms of regularization iterative procedure by A. Tykhonov with iterative procedure with logarithmic step and not iterative calculation of inverse matrix are proposed. The matrix is based on matrices of derivatives from contour voltages on zones surface conductivities. The results. The results are illustrated by examples of calculations. The inhomogeneities in the form of zones and with arbitrary shape were simulated. The computation results and results of reconstruction are identical with accuracy to the 11th significant digit for inhomogeneities in the form of zones. Defying the inhomogeneity with arbitrary shape its character and location are maintained and there is a certain "spread" in the neighboring area. Conclusions. The proposed algorithms are easily programmed and provide high accuracy and good convergence of iterative procedure of image reconstruction from projections. Besides the algorithms significantly reduce number of arithmetic operations and computation time on PC.

Authors and Affiliations

I. Sushko

Keywords

Related Articles

Conventional deconvolution in the Fourier transforms. The image degradation inverse matrix construction

Algorithm for symbolic formation of the multiple transformation matrix for the filter parameters matrix reduction to diagonal form is proposed in this paper. The distorted image is adjusted by this filter (degraded thru...

The neurocomputing using of the development metamodels stage in the optimal surrogate antennas synthesis process

Introduction. A computational developing metamodels technology for optimal antenna synthesis problems is proposed. This computational technology is created using methods of data mining, artificial intelligence and modern...

Mathematical Modeling Method of Radiocommunication System Functioning (Multi-Tensor Method)

Introduction. In connection with appearance of new generation radio intelligence systems in many countries in the world, there is a discrepancy between the capabilities of existing radio communication systems to combat r...

Scattering of Electromagnetic Waves on Different Dielectric Resonators of the Microwave Filters

The theory of scattering of electromagnetic waves by systems of various coupled the different shape and variant permittivity dielectric resonators is expanded. A new definition of the coupling coefficients of different d...

The formation of image degradation inverse matrix in the Hadamard transformation field

Introduction. The algorithm for symbolic method realization of forming image degradation inverse matrix in the Hadamard transforms field is proposed in this work. The problem statement. The main problem for the image res...

Download PDF file
  • EP ID EP308868
  • DOI 10.20535/RADAP.2014.57.23-34
  • Views 70
  • Downloads 0

How To Cite

I. Sushko (2014). Modifikation of iteration algorithm for computing the surface conductivities increments solving the inverse problem of electrical impedance tomography. Вісник НТУУ КПІ. Серія Радіотехніка, Радіоапаратобудування, 0(57), 23-34. https://www.europub.co.uk/articles/-A-308868