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A hybrid reconstruction algorithm for fluorescence tomography using Kirchhoff approximation and finite element method

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Abstract

Fluorescence molecular tomography is a promising imaging modality and has developed fast in the past years. However, challenges remain in its reconstruction, especially for the reconstruction accuracy and computational efficiency. Generally, an analytical method is computationally efficient while a numerical method has advantages in the reconstruction accuracy for arbitrary geometries. To achieve high reconstruction accuracy at low computational cost, a hybrid method that combines an analytical method based on Kirchhoff approximation (KA) and a numerical method based on finite element method (FEM) is proposed. This method is tested with numerical simulations and phantom experiments. Results of numerical simulations indicate that with the hybrid method, the reconstruction accuracy is improved while the computational time decreases by 40–70 % compared with the standalone KA method and FEM. Phantom experiments validate its feasibility for practical applications.

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Acknowledgments

This work is supported by the National Basic Research Program of China (973) under Grant No. 2011CB707701, the National Natural Science Foundation of China under Grant Nos. 81071191, 60831003, 30930092 and 30872633; the Beijing Natural Science Foundation Grant No. 3111003, and the Tsinghua-Yue-Yuen Medical Science Foundation.

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Authors and Affiliations

  1. Department of Biomedical Engineering, Tsinghua University, Beijing, 100084, China

    Xin Wang, Xu Cao, Bin Zhang, Fei Liu, Jianwen Luo & Jing Bai

  2. Center for Biomedical Imaging Research, Tsinghua University, Beijing, 100084, China

    Jianwen Luo

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  1. Xin Wang
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  2. Xu Cao
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  3. Bin Zhang
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  4. Fei Liu
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  5. Jianwen Luo
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  6. Jing Bai
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Correspondence to Jing Bai.

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Wang, X., Cao, X., Zhang, B. et al. A hybrid reconstruction algorithm for fluorescence tomography using Kirchhoff approximation and finite element method. Med Biol Eng Comput 51, 7–17 (2013). https://doi.org/10.1007/s11517-012-0953-1

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  • DOI: https://doi.org/10.1007/s11517-012-0953-1

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