Analysis of finite-element-based methods for reducing the ill-posedness in the reconstruction of fluorescence molecular tomography
作者: Zhun XuJing Bai
作者单位: 1Department of Biomedical Engineering, School of Medicine, Tsinghua University, Beijing 100084, China
刊名: Progress in Natural Science, 2008, Vol.19 (4), pp.501-509
来源数据库: Elsevier Journal
DOI: 10.1016/j.pnsc.2008.06.022
关键词: Fluorescence molecular tomographyReconstructionIll-posednessThe truncated SVDAdaptive regularization
英文摘要: Abstract(#br)The major issue in reconstruction of optical imaging might be the ill-posedness of the problem. In this paper, four different algorithms, including singular value decomposition (SVD), the truncated SVD, Tikhonov regularization and adaptive regularization, are analyzed and applied for solving the matrix equation generated from diffuse equation based on finite-element method in fluorescence molecular tomography. Results illustrate the need for either imposition of regularization term or elimination of too small singular values in reducing the ill-posedness. The results also suggest that the adaptive-regularization method offers superior performance in the reconstruction among the four methods in most cases even if the initially selected regularization parameter is not optimal,...
全文获取路径: Elsevier  (合作)

  • reconstruction 复原
  • tomography 断层x 线摄影
  • regularization 正则化
  • reducing 还原
  • finite 有限的
  • Analysis 分析
  • SVD Safe Vertical Distance
  • molecular 分子的
  • element 元素
  • Fluorescence 荧光