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计算数学  2009 

AN INVERSE PROBLEM FOR CONDUCTIVITY IMAGING WITH REGULARIZATION
介质导电率成像数值反演的正则化方法

Keywords: Elliptic equation,harmonic algorithm,spline functions,regularization,numerical differentiation
椭圆型方程
,调和Bz算法,样条函数,Tikhonov正则化,数值微分

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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...

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