Numerical approximation of bioluminescence tomography based on a new formulation

被引:0
|
作者
Xiaoliang Cheng
Rongfang Gong
Weimin Han
机构
[1] Zhejiang University,Department of Mathematics
[2] University of Iowa,Department of Mathematics
来源
关键词
Bioluminescence tomography; Finite-element methods; Inverse problem;
D O I
暂无
中图分类号
学科分类号
摘要
Bioluminescence tomography (BLT) is a promising new method in biomedical imaging. The BLT problem is an ill-posed inverse source problem, usually studied through a regularization technique. A new approach is proposed for solving the BLT problem based on an adjoint equation. Numerical examples show that the new formulation allows us to obtain accurate solutions.
引用
收藏
页码:121 / 133
页数:12
相关论文
共 50 条
  • [1] Numerical approximation of bioluminescence tomography based on a new formulation
    Cheng, Xiaoliang
    Gong, Rongfang
    Han, Weimin
    JOURNAL OF ENGINEERING MATHEMATICS, 2009, 63 (01) : 121 - 133
  • [2] Bioluminescence tomography based on the phase approximation model
    Cong, W.
    Wang, G.
    JOURNAL OF THE OPTICAL SOCIETY OF AMERICA A-OPTICS IMAGE SCIENCE AND VISION, 2010, 27 (02) : 174 - 179
  • [3] BIOLUMINESCENCE TOMOGRAPHY:BIOMEDICAL BACKGROUND,MATHEMATICAL THEORY,AND NUMERICAL APPROXIMATION
    Weimin Han Department of Mathematics
    JournalofComputationalMathematics, 2008, 26 (03) : 324 - 335
  • [4] Bioluminescence tomography: Biomedical background, mathematical theory, and numerical approximation
    Han, Weimin
    Wang, Ge
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2008, 26 (03) : 324 - 335
  • [5] Numerical Simulation of Bioluminescence Tomography
    Gong Wei
    Li Ruo
    Yan Ningning
    Zhao Weibo
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 585 - +
  • [6] ANALYSIS OF A NUMERICAL METHOD FOR RADIATIVE TRANSFER EQUATION BASED BIOLUMINESCENCE TOMOGRAPHY
    Gong, Rongfang
    Eichholz, Joseph
    Cheng, Xiaoliang
    Han, Weimin
    JOURNAL OF COMPUTATIONAL MATHEMATICS, 2016, 34 (06) : 648 - 670
  • [7] A Born-type approximation method for bioluminescence tomography
    Cong, WX
    Durairaj, K
    Wang, LV
    Wang, G
    MEDICAL PHYSICS, 2006, 33 (03) : 679 - 686
  • [8] Mathematical theory and numerical analysis of bioluminescence tomography
    Han, Weimin
    Cong, Wenxiang
    Wang, Ge
    INVERSE PROBLEMS, 2006, 22 (05) : 1659 - 1675
  • [9] Theoretical and numerical analysis on multispectral bioluminescence tomography
    Han, Weimin
    Wang, Ge
    IMA JOURNAL OF APPLIED MATHEMATICS, 2007, 72 (01) : 67 - 85
  • [10] AN IMPROVED ERROR ANALYSIS FOR FINITE ELEMENT APPROXIMATION OF BIOLUMINESCENCE TOMOGRAPHY
    Wei Gong Institute of Systems Science
    Journal of Computational Mathematics, 2008, 26 (03) : 297 - 309