@article{Рибіна_Рибін_Шарпан_2011, title={Solving the Electrical Impedance Tomography (EIT) inverse problem by the conductivity and back projection methods}, url={https://radap.kpi.ua/radiotechnique/article/view/166}, DOI={10.20535/RADAP.2011.45.33-45}, abstractNote={<p>In this paper comparing analysis of back projection method and finite element method for imagine projection reconstruction in EIT (voltages measured on electrodes, attached around the phantom – suitable transfer resistances), by means of solving the forward problem – analysis and iteration procedure of solving the inverse problem is carried out. Advantages of back projection method are absence of necessary in solving the unwieldy (with a great number of finite elements) forward problem and solving the reconstruction problem by means of simple projection of measured along equal voltage line transfer resistances. Disadvantage of the back projection method in EIT is absence of information about equal voltage lines trajectory in the case of presence of some weight and structure from standard deviations, EIT task is calculating and monitoring them. Moreover, using back projection method, not real resistivity (conductivity) distribution visualization of tomography section elements, but transfer resistances (which are complex functions of these desired resistivities) visualization is carried out. So it should not to consider that back projection method is correct in mathematical terms. Modernized finite element method using modification method and conductivity zones method allows avoid (at the expence of considering of phantom structure and iteration procedure structuring by conductivity zones introduction) all standard difficulties, which brake using more correct finite element method for solving image reconstruction problem in Electrical Impedance Tomography. Presented thesises are illustrated by example of calculating phantom, which is chosen according to simple control of results.</p>}, number={45}, journal={Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia}, author={Рибіна, І.О. and Рибін, О.І. and Шарпан, О.Б.}, year={2011}, month={Jun.}, pages={33-45} }