摘要
关于单电子电脑断层摄影图像的重建过程是一个完全不适定的反问题.由于其在医学诊断上的实际重要性,这个问题近来已被提出了很多次.这篇文章展现了对SPECT问题的理论分析并且着重讨论了应用正则化技术的数值解决方法.同时针对大型问胚设计了多层连续应用算法以提高效率.最后作者为进一步的数值分析提供了直接的实验依据并给予结论.
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 Tikhonovtype regularization for solving it. Moreover, multilevel continuation mechanism for large-scale problems is designed. Numerical results and conclusion follow.
出处
《数学物理学报（A辑）》
CSCD
北大核心
2008年第1期46-58,共13页
Acta Mathematica Scientia
基金
国家博士点基金(20020486035)资助
