Thu, 23 July, 2009, 17:15-18:15, Foyer
An elliptic boundary value problem is fundamental for electrical impedance tomography. Since the computational solution of the appropriate nonlinear inverse 3D problem is both time- and memory-expensive, in real applications one often switches to the reconstruction of cross sections, assuming some symmetry on the explored material.
This poster presents a novel approach, which solves a cylindric 3D problem in a very cheap way, by the reduction to a 2D problem. The idea is based on a
transformation of the meassured data sets and the subsequent use of a 2D
reconstruction algorithm. Although the transformation is not exact, the approach provides good results for a class of material property distributions
even for complex valued data, comparable to common approaches. It seems that this data transformation can be applied to a wide class of inverse elliptic
boundary value problems.
Presentation slides (pdf, 413 KB)
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