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

被引:91
作者
Gao, Hao [1 ]
Zhao, Hongkai [1 ]
机构
[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA
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 57 条
[1]   Tomographic bioluminescence imaging by use of a combined optical-PET (OPET) system: a computer simulation feasibility study [J].
Alexandrakis, G ;
Rannou, FR ;
Chatziioannou, AF .
PHYSICS IN MEDICINE AND BIOLOGY, 2005, 50 (17) :4225-4241
[2]  
[Anonymous], 2009, UCLA CAM Report 09-67
[3]  
[Anonymous], TR0811 CAAM RIC U
[4]   Optical tomography in medical imaging [J].
Arridge, SR .
INVERSE PROBLEMS, 1999, 15 (02) :R41-R93
[5]   Inverse source problems in transport equations [J].
Bal, Guillaume ;
Tamasan, Alexandru .
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2007, 39 (01) :57-76
[6]   Analysis of the depth resolution limit of luminescence diffuse optical imaging [J].
Boffety, M. ;
Allain, M. ;
Sentenac, A. ;
Massonneau, M. ;
Carminati, R. .
OPTICS LETTERS, 2008, 33 (20) :2290-2292
[7]  
Boyd S.P., 2004, Berichte UberVerteilte Messysteme
[8]   Robust uncertainty principles:: Exact signal reconstruction from highly incomplete frequency information [J].
Candès, EJ ;
Romberg, J ;
Tao, T .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2006, 52 (02) :489-509
[9]   Decoding by linear programming [J].
Candes, EJ ;
Tao, T .
IEEE TRANSACTIONS ON INFORMATION THEORY, 2005, 51 (12) :4203-4215
[10]  
Candès EJ, 2008, IEEE SIGNAL PROC MAG, V25, P21, DOI 10.1109/MSP.2007.914731