Research Papers: Imaging

Enhanced spatial resolution in fluorescence molecular tomography using restarted L1-regularized nonlinear conjugate gradient algorithm

[+] Author Affiliations
Junwei Shi

Tsinghua University, School of Medicine, Department of Biomedical Engineering, Beijing 100084, China

Fei Liu

Tsinghua University, School of Medicine, Department of Biomedical Engineering, Beijing 100084, China

Tsinghua-Peking Center for Life Sciences, Beijing 100084, China

Guanglei Zhang

Tsinghua University, School of Medicine, Department of Biomedical Engineering, Beijing 100084, China

Jianwen Luo

Tsinghua University, School of Medicine, Department of Biomedical Engineering, Beijing 100084, China

Tsinghua University, School of Medicine, Center for Biomedical Imaging Research, Beijing 100084, China

Jing Bai

Tsinghua University, School of Medicine, Department of Biomedical Engineering, Beijing 100084, China

J. Biomed. Opt. 19(4), 046018 (Apr 28, 2014). doi:10.1117/1.JBO.19.4.046018
History: Received December 29, 2013; Revised March 13, 2014; Accepted March 17, 2014
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Abstract.  Owing to the high degree of scattering of light through tissues, the ill-posedness of fluorescence molecular tomography (FMT) inverse problem causes relatively low spatial resolution in the reconstruction results. Unlike L2 regularization, L1 regularization can preserve the details and reduce the noise effectively. Reconstruction is obtained through a restarted L1 regularization-based nonlinear conjugate gradient (re-L1-NCG) algorithm, which has been proven to be able to increase the computational speed with low memory consumption. The algorithm consists of inner and outer iterations. In the inner iteration, L1-NCG is used to obtain the L1-regularized results. In the outer iteration, the restarted strategy is used to increase the convergence speed of L1-NCG. To demonstrate the performance of re-L1-NCG in terms of spatial resolution, simulation and physical phantom studies with fluorescent targets located with different edge-to-edge distances were carried out. The reconstruction results show that the re-L1-NCG algorithm has the ability to resolve targets with an edge-to-edge distance of 0.1 cm at a depth of 1.5 cm, which is a significant improvement for FMT.

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© 2014 Society of Photo-Optical Instrumentation Engineers

Citation

Junwei Shi ; Fei Liu ; Guanglei Zhang ; Jianwen Luo and Jing Bai
"Enhanced spatial resolution in fluorescence molecular tomography using restarted L1-regularized nonlinear conjugate gradient algorithm", J. Biomed. Opt. 19(4), 046018 (Apr 28, 2014). ; http://dx.doi.org/10.1117/1.JBO.19.4.046018


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