%0 Journal Article
%T AN INVERSE PROBLEM FOR CONDUCTIVITY IMAGING WITH REGULARIZATION<br>介质导电率成像数值反演的正则化方法
%A Chen Qun
%A Huang Biaozhang
%A Liu Jijun
%A <br>陈群
%A 黄标章
%A 刘继军
%J 计算数学
%D 2009
%I 
%X 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...
%K Elliptic equation
%K harmonic algorithm
%K spline functions
%K regularization
%K numerical differentiation<br>椭圆型方程
%K 调和Bz算法
%K 样条函数
%K Tikhonov正则化
%K 数值微分
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=CC77F3CEF526D9CF0B3021650FB4E57E&aid=478F10895F50A5497FEFCB2F6617FCD9&yid=DE12191FBD62783C&vid=4AD960B5AD2D111A&iid=CA4FD0336C81A37A&sid=987EDA49D8A7A635&eid=0401E2DB1F51F8DE&journal_id=0254-7791&journal_name=计算数学&referenced_num=0&reference_num=14