%0 Journal Article
%T The Inverse Problem of Single Photon EmissionComputed Tomography<br>关于单电子电脑断层摄影图像重建的反问题
%A Huang Hui
%A Fei Pusheng
%A Yuan Yuan
%A <br>黄惠
%A 费浦生
%A 袁媛
%J 数学物理学报(A辑)
%D 2008
%I 
%X The image reconstruction processing in Single Photon Emission Computed Tomography (SPECT) is a very ill-posed inverse problem. Due to its practical importance for medical diagnostics, this problem has been addressed various times recently. In this paper, the authors discuss theoretical settings of SPECT and propose new numerical strategies based on Tikhonov-type regularization for solving it. Moreover, multilevel continuation mechanism for large-scale problems is designed. Numerical results and conclusion follow.
%K SPECT
%K Tikhonov Regularization
%K Huber Norm
%K Multilevel Continuation<br>单电子电脑断层摄影术
%K Tikhonov正则化
%K Huber范数
%K 多层连续算法.
%K 单电子
%K 电脑
%K 断层摄影
%K 图像重建
%K 反问题
%K Computed
%K Tomography
%K Single
%K Photon
%K Emission
%K 实验
%K 数值分析
%K 效率
%K 算法
%K 连续
%K 问题设计
%K 方法
%K 数值解
%K 正则化技术
%K 应用
%K 理论
%K SPECT
%K 医学诊断
%U http://www.alljournals.cn/get_abstract_url.aspx?pcid=6E709DC38FA1D09A4B578DD0906875B5B44D4D294832BB8E&cid=37F46C35E03B4B86&jid=4DB553CDB5F521D8C921082E5C95EC80&aid=2D0AE83D82FDCA99FFBB61DAA250BA0B&yid=67289AFF6305E306&vid=D3E34374A0D77D7F&iid=CA4FD0336C81A37A&sid=D997634CFE9B6321&eid=31C8A29AC9A501BB&journal_id=1003-3998&journal_name=数学物理学报(A辑)&referenced_num=0&reference_num=17