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计算数学 2009
AN INVERSE PROBLEM FOR CONDUCTIVITY IMAGING WITH REGULARIZATION
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Abstract:
Magnetic Resonance Electrical Impedance Tomography(MREIT)is a new medical imaging technique.The basic idea of MREIT is to reconstruct the medium conductivity using the internal magnetic flux information.This paper considers the numerical realization of the well-developed harmonic-B_z algorithm for noisy input data.By constructing the minimizer of the Tikhonov functional in terms of the spline function,we propose a stable realization of harmonic-B_z algorithm.The error estimates are provided.Finally,numerica...