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Two-stage source reconstruction algorithm for bioluminescence tomography using hybrid FEM

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Abstract

A two-stage source reconstruction algorithm for bioluminescence tomography (BLT) is developed using hybrid finite element method (FEM). The proposed algorithm takes full advantages of linear and quadratic FEMs, which can be used to localize and quantify bioluminescent source accurately. In the first stage, a large permissible region is roughly determined and then iteratively evolved to reduce matrix dimension using efficient linear FEM. In the final stage, high-convergence quadratic FEM is applied to improve reconstruction result. Both numerical simulation and physical experiment are performed to evaluate the proposed algorithm. The relevant results demonstrate that quantitative reconstruction can be well achieved in terms of computation efficiency, source position, power density, and total power when compared with previous studies.

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Authors and Affiliations

  1. Life Sciences Research Center, School of Life Sciences and Technology, Xidian University, Xi’an, 710071, PRC

    Yan-Bin Hou, Heng Zhao, Xiao-Chao Qu, Duo-Fang Chen & Ji-Min Liang

  2. School of Technical Physics, Xidian University, Xi’an, 710071, PRC

    Xiao-Rui Wang

Authors
  1. Yan-Bin Hou
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  2. Heng Zhao
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  3. Xiao-Chao Qu
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  4. Duo-Fang Chen
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  5. Xiao-Rui Wang
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  6. Ji-Min Liang
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Corresponding author

Correspondence to Ji-Min Liang.

Additional information

This work was supported by National Basic Research Program of China (973 Program) (No. 2011CB707702), National Natural Science Foundation of China (Nos. 81090272, 81000632, and 30900334), the Shaanxi Provincial Natural Science Foundation (No. 2009JQ8018), and the Fundamental Research Funds for the Central Universities.

Yan-Bin Hou graduated from Xidian University, PRC in 2003. He received the B.Eng degree in electronic engineering, and the M.Eng. degree in electronic circuits and system, from Xidian University, Xi’an, PRC, in 2003 and 2006, respectively. Since 2009, he has been a lecturer in Life Sciences Research Center, School of Life Sciences and Technology, Xidian University, where he is a Ph. D. candidate in pattern recognition and intelligent system.

His research interests include molecular imaging, optical tomography, and medical image processing.

Heng Zhao graduated from Xi’an Jiaotong University, PRC in 1996. He received the B. Sc. degree in automatic control from Xi’an Jiaotong University in 1996, and the Ph.D. degree in circuit and system from Xidian University, PRC in 2005. Currently, he is an associate professor in the School of Life Sciences and Technology at Xidian University.

His research interests include biomedical image processing and biometric recognition.

Xiao-Chao Qu graduated from Xidian University, PRC in 2003. She received the B. Eng. degree in biomedical engineering in 2003 from Xidian University, and Ph.D. degree in biomedical engineering in 2008 from Xi’an Jiaotong University, PRC. Currently, she is an associate professor in the School of Life Sciences and Technology at Xidian University.

Her research interests include multimodality molecular imaging and biomedical photonics.

Duo-Fang Chen graduated from Xidian University, PRC in 2004. She received the B. Sc. and Ph.D. degrees in applied physics and signal and information processing from Xidian University in 2004 and 2009, respectively. Since 2009, she has been a lecturer in Life Sciences Research Center, School of Life Sciences and Technology, Xidian University.

Her research interests include signal processing and molecular imaging.

Xiao-Rui Wang graduated from Sichuan University, PRC in 1998. He received the B. Eng. degree in optoelectronic technology, from Sichuan University, Chengdu, PRC in 1998. In 2005, he received the Ph.D. degree in optical engineering from Xidian University, Xi’an, PRC. Currently, he is a professor in the School of Technical Physics at Xidian University. In 2007, he was a visiting scholar at the Three-dimension Visualization and Imaging System Laboratory, University of Arizona. He is a member of Optical Society of America.

His research interests include three-dimensional optical imaging and visualization, optoelectronic imaging and detection technology, and development of optical imaging system.

Ji-Min Liang graduated from Xidian University, PRC in 1995. He received the B.Eng. degree in automatic control in 1992, M. Eng. degree in signal and information processing in 1995, and Ph.D. degree in circuits and systems in 1999, all from Xidian University. He became an associate professor and then professor in 2000 and 2005, respectively. In 2002, he was a research associate professor at the Electrical and Computer Engineering Department, University of Tennessee, Knoxville, USA. He joined the School of Life Sciences and Technology in 2009. He is a member of IEEE.

His research interests include multimodality molecular imaging, biomedical image processing, biometric recognition, and biometric encryption.

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Hou, YB., Zhao, H., Qu, XC. et al. Two-stage source reconstruction algorithm for bioluminescence tomography using hybrid FEM. Int. J. Autom. Comput. 9, 225–231 (2012). https://doi.org/10.1007/s11633-012-0638-0

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  • DOI: https://doi.org/10.1007/s11633-012-0638-0

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