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
  • [1] Multilevel bioluminescence tomography based on radiative transfer equation Part 2: total variation and l1 data fidelity
    Gao, Hao
    Zhao, Hongkai
    OPTICS EXPRESS, 2010, 18 (03): : 2894 - 2912
  • [2] Mixed Total Variation and L1 Regularization Method for Optical Tomography Based on Radiative Transfer Equation
    Tang, Jinping
    Han, Bo
    Han, Weimin
    Bi, Bo
    Li, Li
    COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE, 2017, 2017
  • [3] Source reconstruction for bioluminescence tomography via L1/2 regularization
    Yu, Jingjing
    Li, Qiyue
    Wang, Haiyu
    JOURNAL OF INNOVATIVE OPTICAL HEALTH SCIENCES, 2018, 11 (02)
  • [4] L1/2 regularization based numerical method for effective reconstruction of bioluminescence tomography
    Chen, Xueli
    Yang, Defu
    Zhang, Qitan
    Liang, Jimin
    JOURNAL OF APPLIED PHYSICS, 2014, 115 (18)
  • [5] 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
  • [6] Simulation of Bioluminescence Tomography Based on Nonconvex L1-2 Regularization
    Yu Jingjing
    Liu Jiale
    CHINESE JOURNAL OF LASERS-ZHONGGUO JIGUANG, 2018, 45 (04):
  • [7] Stochastic image reconstruction in bioluminescence tomography with the equation of radiative transfer
    Klose, Alexander D.
    OPTICAL TOMOGRAPHY AND SPECTROSCOPY OF TISSUE VII, 2007, 6434
  • [8] Diffuse Optical Tomography Based on Radiative Transfer Equation with L∞ Data Fidelity and Total Variation Penalty Regularization
    Bi, Bo
    Tang, Jinping
    JOURNAL OF MEDICAL IMAGING AND HEALTH INFORMATICS, 2017, 7 (06) : 1212 - 1218
  • [9] L1/2 regularization
    ZongBen Xu
    Hai Zhang
    Yao Wang
    XiangYu Chang
    Yong Liang
    Science China Information Sciences, 2010, 53 : 1159 - 1169
  • [10] L1/2 regularization
    XU ZongBen 1
    2 Department of Mathematics
    3 University of Science and Technology
    Science China(Information Sciences), 2010, 53 (06) : 1159 - 1169
12345