05998509

j

05998509 H\"ahnlein, C. Schilcher, K. Sebu, C. Spiesberger, H. Conductivity imaging with interior potential measurements. Inverse Probl. Sci. Eng. 19, No. 5, 729-750 (2011). 2011 Taylor \& Francis, Abingdon EN electrical impedance tomography integral equation methods resistor networks breast cancer detection nonlinear inverse problems ill-posed problems

doi:10.1080/17415977.2011.598522

The paper deals with an inverse conductivity problem, where the data are supposed to be obtained from a planar electric impedance tomography device for breast cancer detection. The model problem consists in reconstructing the conductivity of a two-dimensional circular domain from boundary measurements of currents and interior measurements of the potential. Two techniques are presented; the first is based on a discrete resistor model, whereas the second one is an integral equation approach for smooth conductivity distribution. The efficiency of the two inversion algorithms is compared by using numerical experiments with simulated data (the reconstruction with real data is planned for the future). Dmitry Shepelsky (Kharkov)