Molecular Imaging and Biology

, Volume 19, Issue 2, pp 245–255 | Cite as

Reconstruction Method for In Vivo Bioluminescence Tomography Based on the Split Bregman Iterative and Surrogate Functions

  • Shuang Zhang
  • Kun WangEmail author
  • Hongbo Liu
  • Chengcai Leng
  • Yuan Gao
  • Jie TianEmail author
Research Article



Bioluminescence tomography (BLT) can provide in vivo three-dimensional (3D) images for quantitative analysis of biological processes in preclinical small animal studies, which is superior than the conventional planar bioluminescence imaging. However, to reconstruct light sources under the skin in 3D with desirable accuracy and efficiency, BLT has to face the ill-posed and ill-conditioned inverse problem. In this paper, we developed a new method for BLT reconstruction, which utilized the mathematical strategies of the split Bregman iterative and surrogate functions (SBISF) method.


The proposed method considered the sparsity characteristic of the reconstructed sources. Thus, the sparsity itself was regarded as a kind of a priori information, and the sparse regularization is incorporated, which can accurately locate the position of the sources. Numerical simulation experiments of multisource cases with comparative analyses were performed to evaluate the performance of the proposed method. Then, a bead-implanted mouse and a breast cancer xenograft mouse model were employed to validate the feasibility of this method in in vivo experiments.


The results of both simulation and in vivo experiments indicated that comparing with the L1-norm iteration shrinkage method and non-monotone spectral projected gradient pursuit method, the proposed SBISF method provided the smallest position error with the least amount of time consumption.


The SBISF method is able to achieve high accuracy and high efficiency in BLT reconstruction and hold great potential for making BLT more practical in small animal studies.

Key words

Bioluminescence tomography reconstruction Optical molecular imaging Split Bregman method Surrogate Functions 



This work is supported by the National Basic Research Program of China (973 Program) under Grant No. 2015CB755500, the National Natural Science Foundation of China under Grant No. 81227901, 61231004, 81527805 and 61401462, and the Scientific Research and Equipment Development Project of the Chinese Academy of Sciences under Grant No. YZ201359. The Key Research Program of the Chinese Academy of Sciences under Grant No. KGZD-EW-T03, the Chinese Academy of Sciences Fellowship for Young International Scientists under Grant No. 2013Y1GA0004 and the Project funded by China Postdoctoral Science Foundation under Grant Nos. 2014M550881, 2015T80155.

Compliance with ethical standards

Conflict of interest

The authors declare no conflict of interests.


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Copyright information

© World Molecular Imaging Society 2016

Authors and Affiliations

  1. 1.Sino-Dutch Biomedical and Information Engineering SchoolNortheastern UniversityShenyangChina
  2. 2.Key Laboratory of Molecular Imaging, Institute of AutomationChinese Academy of SciencesBeijingPeople’s Republic of China
  3. 3.Beijing Key Laboratory of Molecular ImagingBeijingPeople’s Republic of China
  4. 4.Chinese Society for Molecular ImagingBeijingPeople’s Republic of China

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