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Conductivity imaging with interior potential measurements

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: C. Hähnlein, K. Schilcher, H. Spiesberger and C. Sebu

Editorial: Inverse Problems in Science and Engineering , 19 (5), p.729-750, 2011.

Rezumat:

In this article, we present two reconstruction methods intended to be used for
conductivity imaging with data obtained from a planar electrical impedance
tomography device for breast cancer detection. The inverse problem to solve is
different from the classical inverse conductivity problem. We reconstruct the
electrical conductivity of a two-dimensional domain from boundary measurements
of currents and interior measurements of the potential. One reconstruction
algorithm is based on a discrete resistor model; the other one is an integral
equation approach for smooth conductivity distributions.

Cuvinte cheie: electrical impedance tomography; integral equation methods; resistor networks; breast cancer detection; nonlinear inverse problems; ill-posed problems