激光与光电子学进展, 2015, 52 (8): 081704, 网络出版: 2015-07-29   

几种典型迭代算法在生物发光断层成像中的对比研究及评估 下载: 583次

A Comparative Study and Evaluation on Several Typical Iterative Methods for Bioluminescence Tomography
作者单位
西北大学信息科学与技术学院, 陕西 西安 710127
摘要
生物发光断层成像是一种新型光学分子影像技术.基于稀疏正则化的迭代算法在解决重建中病态问题起着关键的作用.将4 种典型的基于l1正则化的迭代算法(内点法、同伦算法、一阶方法和拉格朗日算法)应用于重建过程中,分别进行数学推导,并从重建精度和重建速度方面进行了实验对比和性能评估.实验结果表明尽管4 种方法均能较好地重建出光源位置,但时间代价和重建能量大小上存在差异,据此结果为不同情况下重建算法的选取提出建议.
Abstract
Bioluminescence tomography (BLT) has recently emerged as a promising preclinical imaging modality.Iterative methods based on sparse regularization play a critical role in solving the ill-posed BLT inverse problem.Four kinds of typical iterative methods based on l1 regularization were briefly introduced and applied to reconstruct the bioluminescent source location and intensity,which include interior-point methods,homotopy methods,firstorder methods,and augmented Lagrangian methods.Numerical experiments on a digital inhomogeneous mouse model and in vivo experiments were conducted to evaluate the performance of these methods in terms of localization accuracy,reconstructed intensity and power.
参考文献

[1] Darne C,Lu Y,Sevick-Muraca E M.Small animal fluorescence and bioluminescence tomography:A review of approaches,algorithms and technology update[J].Physics in Medicine and Biology,2014,59(1):R1.

[2] Qin C,Feng J,Zhu S,et al..Recent advances in bioluminescence tomography:Methodology and system as well as application[J].Laser & Photonics Reviews,2014,8(1):94-114.

[3] 邓大伟,刘飞,曹洁,等.两种近红外荧光探针的合成及肿瘤靶向研究[J].中国激光,2010,37(11):2735-2742.

    Deng Dawei,Liu Fei,Cao Jie,et al..Synthesis and tumor targeting research of two near-infrared fluorescence probes [J].Chinese J Lasers,2010,37(11):2735-2742.

[4] 李莉,谢文明,李晖.光声光谱技术在现代生物医学领域的应用[J].激光与光电子学进展,2012,49(10):100008.

    Li Li,Xie Wenming,Li Hui.Applications of photoacoustic spectroscopy in the field of modern biomedicine[J].Laser &Optoelectronics Progress,2012,49(10):100008.

[5] Wang G,Cong W,Durairaj K,et al..In vivo mouse studies with bioluminescence tomography[J].Optics Express,2006,14(17):7801-7809.

[6] Cong W,Wang G.Iterative method for bioluminescence tomography based on the radiative transport equation[C].SPIE,2006,6318:631826.

[7] Lv Y,Tian J,Cong W,et al..A multilevel adaptive finite element algorithm for bioluminescence tomography[J].Optics Express,2006,14(18):8211-8223.

[8] Jiang M,Zhou T,Cheng J,et al..Image reconstruction for bioluminescence tomography from partial measurement[J].Optics Express,2007,15(18):11095-11116.

[9] Chaudhari A J,Darvas F,Bading J R,et al..Hyperspectral and multispectral bioluminescence optical tomography for small animal imaging[J].Physics in Medicine and Biology,2005,50(23):5421-5441.

[10] Ntziachristos V,Ripoll J,Wang L V,et al..Looking and listening to light:The evolution of whole-body photonic imaging[J].Nature Biotechnology,2005,23(3):313-320.

[11] Tikhonov A N,Arsenin V Y.Methods for solving ill-posed problems[J].Mathematics of Computation,1979,32(144):1320-1322.

[12] Gao H,Zhao H.Multilevel bioluminescence tomography based on radiative transfer equation Part 1:l1 regularization[J].Optics Express,2010,18(3):1854-1871.

[13] He X,Liang J,Wang X,et al..Sparse reconstruction for quantitative bioluminescence tomography based on the incomplete variables truncated conjugate gradient method[J].Optics Express,2010,18(24):24825-24841.

[14] Yu J,Liu F,Wu J,et al..Fast source reconstruction for bioluminescence tomography based on sparse regularization[J].IEEE Transactions on Biomedical Engineering,2010,57(10):2583-2586.

[15] 金晨,郭红波,侯榆青,等.基于变量分离近似稀疏重构和简化球谐近似的生物发光断层成像[J].光学学报,2014,34(6):0617001.

    Jin Chen,Guo Hongbo,Hou Yuqing,et al..Research of bioluminescence tomography reconstruction problem based on simplified spherical harmonics approximation model and sparse reconstruction by separable approximation[J].Acta Optica Sinica,2014,34(6):0617001.

[16] Potra F A,Wright S J.Interior-point methods[J].Journal of Computational and Applied Mathematics,2000,124:281-302.

[17] Drori I,Donoho D L.Solution of l1 minimization problems by LARS/homotopy methods[C].2006 IEEE International Conference on Acoustics,Speech and Signal Processing,2006,3:III.

[18] d'Aspremont A,Banerjee O,Ghaoui L E.First-order methods for sparse covariance selection[J].SIAM Journal on Matrix Analysis and Applications,2008,30(1):56-66.

[19] Afonso M V,Bioucas-Dias J M,Figueiredo M A T.An augmented Lagrangian approach to the constrained optimization formulation of imaging inverse problems[J].IEEE Transactions on Image Processing,2011,20(3):681-695.

[20] Schweiger M,Arridge S R,Hiraoka M,et al..The finite element method for the propagation of light in scattering media:Boundary and source conditions[J].Medical Physics,1995,22(11):1779-1792.

[21] Wang G,Li Y,Jiang M.Uniqueness theorems in bioluminescence tomography[J].Medical Physics,2004,31(8):2289-2299.

[22] Koh K,Kim S J,Boyd S.An interior-point method for large-scale l1-regularized logistic regression[J].Journal of Machine Learning Research,2007,8(8):1519-1555.

[23] Efron B,Hastie T,Johnstone I,et al..Least angle regression[J].The Annals of Statistics,2004,32(2):407-499.

[24] Bertsekas D P.Nonlinear Programming[M].Nashua:Athena Scientific,1999.

[25] Alexandrakis G,Rannou F R,Chatziioannou A F,et al..Tomographic bioluminescence imaging by use of a combined optical-PET (OPET) system:A computer simulation feasibility study[J].Physics in Medicine and Biology,2005,50(17):4225-4241.

刘合娟, 侯榆青, 贺小伟, 蒲鑫. 几种典型迭代算法在生物发光断层成像中的对比研究及评估[J]. 激光与光电子学进展, 2015, 52(8): 081704. Liu Hejuan, Hou Yuqing, He Xiaowei, Pu Xin. A Comparative Study and Evaluation on Several Typical Iterative Methods for Bioluminescence Tomography[J]. Laser & Optoelectronics Progress, 2015, 52(8): 081704.

本文已被 4 篇论文引用
被引统计数据来源于中国光学期刊网
引用该论文: TXT   |   EndNote

相关论文

加载中...

关于本站 Cookie 的使用提示

中国光学期刊网使用基于 cookie 的技术来更好地为您提供各项服务,点击此处了解我们的隐私策略。 如您需继续使用本网站,请您授权我们使用本地 cookie 来保存部分信息。
全站搜索
您最值得信赖的光电行业旗舰网络服务平台!