Abstract
As an optical molecular imaging modality, fluorescence molecular tomography (FMT) can monitor the activities of organisms in vivo at the molecular and cellular levels. However, the recovered image quality is affected by mesh voxel when the finite element method is utilized to recover the fluorescence probe. The target localization is likely to deviate from the actual target under the coarse mesh, but using the fine mesh will increase the number of unknowns, which makes the computational burden heavier and further aggravate the ill-posedness. To solve the problem, a reconstruction strategy using a non-uniform mesh for FMT is developed in this paper. The numerical experiment and physical experiment validated that the strategy is capable and effective for FMT.
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References
Ntziachristos, V., Tung, C.-H., Bremer, C., Weissleder, R.: Fluorescence molecular tomography resolves protease activity in vivo. Nat Med. 8(7), 757–761 (2002)
Bai, J., Xu, Z.: Molecular Imaging: Fundamentals and Applications, pp. 185–216. Springer, Berlin (2013)
Xu, C., Xin, W., Zhang, B., Fei, L., Luo, J., Jing, B.: Accelerated image reconstruction in fluorescence molecular tomography using dimension reduction. Biomed Opt Express. 4(1), 1–14 (2013)
Vasilis, N., Schellenberger, E.A., Jorge, R., Doreen, Y., Edward, G., Alexei, B., Lee, J., Ralph, W.: Visualization of antitumor treatment by means of fluorescence molecular tomography with an annexin V-Cy5.5 conjugate. Proc Natl Acad Sci USA 101(33), 12294–12299 (2004)
Dimarzio, C.A., Niedre, M.: Pre-clinical optical molecular imaging in the lung: technological challenges and future prospects. J Thorac Dis 4(6), 556–557 (2012)
Chen, D., Liang, J., Li, Y., Qiu, G.: A sparsity-constrained preconditioned Kaczmarz reconstruction method for fluorescence molecular tomography. BioMed Res Int 2016, Article ID: 4504161 (2016)
Lian, L., Deng, Y., Xie, W., Xu, G., Yang, X., Zhang, Z., Luo, Q.: Enhancement of the localization and quantitative performance of fluorescence molecular tomography by using linear nBorn method. Opt Express 25(3), 2063–2079 (2017)
Guven, M., Reilly-Raska, L., Zhou, L., Yazıcı, B.: Discretization error analysis and adaptive meshing algorithms for fluorescence diffuse optical tomography: Part I. IEEE Trans Med Imaging. 29(2), 217–229 (2010)
Guven, M., Reilly-Raska, L., Zhou, L., Yazici, B.: Discretization error analysis and adaptive meshing algorithms for fluorescence diffuse optical tomography: Part II. IEEE Trans Med Imaging 29(2), 230–245 (2010)
Zhou, L., Yazici, B.: Discretization error analysis and adaptive meshing algorithms for fluorescence diffuse optical tomography in the presence of measurement noise. IEEE Trans Image Process 20(4), 1094–1111 (2010)
Wang, D., Song, X.L., Bai, J.: Adaptive-mesh-based algorithm for fluorescence molecular tomography using an analytical solution. Opt Express. 15(15), 9722–9730 (2007)
Schulz, R.B., Angelique, A., Athanasios, S., Marcus, F., Eric, S., Marta, Z., Vasilis, N.: Hybrid system for simultaneous fluorescence and x-ray computed tomography. IEEE Trans Med Imaging 29(2), 465–473 (2009)
Yi, H., Zhang, X., Peng, J., Zhao, F., Wang, X., Hou, Y., Chen, D., He, X.: Reconstruction for limited-projection fluorescence molecular tomography based on a double-mesh strategy. Biomed Res Int 2016, Article ID: 5682851 (2016)
Yi, H., Jiao, P., Li, X., Peng, J., He, X.: Three-way decision based reconstruction frame for fluorescence molecular tomography. J. Opt. Soc. Am. 35(11), 1814–1822 (2018)
Han, D., Tian, J., Zhu, S.P., Feng, J.C., Qin, C.G., Zhang, B., Yang, X.: A fast reconstruction algorithm for fluorescence molecular tomography with sparsity regularization. Opt. Express. 18(8), 8630–8646 (2010)
Xiaowei, H., Jimin, L., Xiaorui, W., Jingjing, Y., Xiaochao, Q., Xiaodong, W., Yanbin, H., Duofang, C., Fang, L., Jie, T.: Sparse reconstruction for quantitative bioluminescence tomography based on the incomplete variables truncated conjugate gradient method. Opt Express. 18(24), 24825–24841 (2010)
Hou, Y., Hua, X., Xin, C., Zhang, H., Xuan, Q., He, X.: Single-view enhanced cerenkov luminescence tomography based on sparse bayesian learning. Acta Optica Sinica. 37(12), 298–308 (2017)
Guo, H., Hou, Y., He, X., Yu, J., Cheng, J., Xin, P.: Adaptive hp finite element method for fluorescence molecular tomography with simplified spherical harmonics approximation. J. Innov. Opt. Health Sci. 7(2), Article ID 1350057 (2014)
Klose, A.D., Ntziachristos, V., Hielscher, A.H.: The inverse source problem based on the radiative transfer equation in optical molecular imaging. J. Comput. Phys. 202(1), 323–345 (2005)
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Wang, B., Jiao, P., Yi, H. et al. The image reconstruction for fluorescence molecular tomography via a non-uniform mesh. Opt Rev 27, 31–38 (2020). https://doi.org/10.1007/s10043-019-00561-z
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DOI: https://doi.org/10.1007/s10043-019-00561-z