Multilevel bioluminescence tomography based on radiative transfer equation Part 1: l1 regularization

被引:93
|
作者
Gao, Hao [1 ]
Zhao, Hongkai [1 ]
机构
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
来源
OPTICS EXPRESS | 2010年 / 18卷 / 03期
关键词
INVERSE SOURCE PROBLEM; OPTICAL TOMOGRAPHY; SIGNAL RECOVERY; RECONSTRUCTION; ALGORITHM; SELECTION;
D O I
10.1364/OE.18.001854
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
In this paper we study an l1-regularized multilevel approach for bioluminescence tomography based on radiative transfer equation with the emphasis on improving imaging resolution and reducing computational time. Simulations are performed to validate that our algorithms are potential for efficient high-resolution imaging. Besides, we study and compare reconstructions with boundary angular-averaged data, boundary angular-resolved data and internal angular-averaged data respectively. (C) 2010 Optical Society of America
引用
收藏
页码:1854 / 1871
页数:18
相关论文
共 50 条
  • [41] Quantitative photoacoustic tomography based on the radiative transfer equation
    Yao, Lei
    Sun, Yao
    Jiang, Huabei
    OPTICS LETTERS, 2009, 34 (12) : 1765 - 1767
  • [42] Sparse kernel logistic regression based on L1/2 regularization
    Xu Chen
    Peng ZhiMing
    Jing WenFeng
    SCIENCE CHINA-INFORMATION SCIENCES, 2013, 56 (04) : 1 - 16
  • [43] Sparse kernel logistic regression based on L1/2 regularization
    XU Chen
    PENG ZhiMing
    JING WenFeng
    Science China(Information Sciences), 2013, 56 (04) : 75 - 90
  • [44] Super-resolution reconstruction based on L1/2 regularization
    Xu Z.
    Li W.
    Zhu H.
    Zhu X.
    1600, Huazhong University of Science and Technology (45): : 38 - 42
  • [45] Multichannel sliding spotlight SAR imaging based on l1 regularization
    Xu Z.
    Wei Z.
    Wu C.
    Zhang B.
    Xi Tong Gong Cheng Yu Dian Zi Ji Shu/Systems Engineering and Electronics, 2019, 41 (02): : 304 - 310
  • [46] Novel Power Grid Reduction Method based on L1 Regularization
    Wang, Ye
    Li, Meng
    Yi, Xinyang
    Song, Zhao
    Orshansky, Michael
    Caramanis, Constantine
    2015 52ND ACM/EDAC/IEEE DESIGN AUTOMATION CONFERENCE (DAC), 2015,
  • [47] On empirical eigenfunction-based ranking with l1 norm regularization
    Xu, Min
    Fang, Qin
    Wang, Shaofan
    Li, Junbin
    JOURNAL OF APPROXIMATION THEORY, 2015, 192 : 273 - 290
  • [48] A nonconvex TVq - l1 regularization model and the ADMM based algorithm
    Fang, Zhuang
    Tang Liming
    Liang, Wu
    Liu Hanxin
    SCIENTIFIC REPORTS, 2022, 12 (01):
  • [49] Seismic data reconstruction based on smoothed L1/2 regularization
    Zhang, Fanchang
    Lan, Nanying
    Zhang, Heng
    Zhongguo Kuangye Daxue Xuebao/Journal of China University of Mining and Technology, 2019, 48 (05): : 1045 - 1052
  • [50] Damage detection for CFRP based on the modified L1 regularization of EIT
    Fan, Wenru
    Wang, Chi
    Zhendong yu Chongji/Journal of Vibration and Shock, 2022, 41 (02): : 265 - 270