Effective and robust approach for fluorescence molecular tomography based on CoSaMP and SP<sub>3</sub> model

Xiaowei He; Hongbo Guo; Jingjing Yu; Xu Zhang; Yuqing Hou

doi:doi:10.1142/s1793545816500243

Journal of Innovative Optical Health Sciences, 2016, 9 (6): 1650024, Published Online: Dec. 27, 2018

Effective and robust approach for fluorescence molecular tomography based on CoSaMP and SP₃ model

论文大纲

Xiaowei He ^1,*Hongbo Guo ¹Jingjing Yu ²Xu Zhang ¹Yuqing Hou ¹

Author Affiliations

¹ Northwest University School of Information Sciences and Technology Xi'an, P. R. China 710069

² Shaanxi Normal University School of Physics and Information Technology Xi'an, P. R. China 710062

Tomography image reconstruction techniques medical and biological imaging inverse problems

Abstract

Fluorescence molecular tomography (FMT) allows the detection and quantification of various biological processes in small animals in vivo, which expands the horizons of pre-clinical research and drug development. Efficient three-dimensional (3D) reconstruction algorithm is the key to accurate localization and quantification of fluorescent target in FMT. In this paper, 3D reconstruction of FMT is regarded as a sparse signal recovery problem and the compressive sampling matching pursuit (CoSaMP) algorithm is adopted to obtain greedy recovery of fluorescent signals. Moreover, to reduce the modeling error, the simplified spherical harmonics approximation to the radiative transfer equation (RTE), more specifically SP₃, is utilized to describe light propagation in biological tissues. The performance of the proposed reconstruction method is thoroughly evaluated by simulations on a 3D digital mouse model by comparing it with three representative greedy methods including orthogonal matching pursuit (OMP), stagewise OMP (StOMP), and regularized OMP (ROMP). The CoSaMP combined with SP₃ shows an improvement in reconstruction accuracy and exhibits distinct advantages over the comparative algorithms in multiple targets resolving. Stability analysis suggests that CoSaMP is robust to noise and performs stably with reduction of measurements. The feasibility and reconstruction accuracy of the proposed method are further validated by phantom experimental data.

References

[1] A. Ale, V. Ermolayev, E. Herzog, C. Cohrs, M. H. de Angelis, V. Ntziachristos, "Fmt-xct: in vivo animal studies with hybrid fluorescence molecular tomography- x-ray computed tomography," Nat. Methods 9(6), 615–620 (2012).

[2] J. K. Willmann, N. Van Bruggen, L. M. Dinkelborg, S. S. Gambhir, "Molecular imaging in drug development," Nat. Rev. Drug Discov. 7(7), 591–607 (2008).

[3] C. Darne, Y. Lu, E M. Sevick-Muraca, "Small animal fluorescence and bioluminescence tomography: A review of approaches, algorithms and technology update," Phys. Med. Biol. 59(1), R1–R64 (2014).

[4] D. Wang, J. He, H. Qiao, X. Song, Y. Fan, D. Li, "High-performance fluorescence molecular tomography through shape-based reconstruction using spherical harmonics parameterization," PloS one 9(4), e94317 (2014).

[5] N. Ducros, A. Bassi, G. Valentini, G. Canti, S. Arridge, C. D'Andrea, "Fluorescence molecular tomography of an animal model using structured light rotating view acquisition," J. Biomed. Opt. 18(2), 020503 (2013).

[6] J. Ye, Y. Du, Y. An, C. Chi, J. Tian, "Reconstruction of fluorescence molecular tomography via a nonmonotone spectral projected gradient pursuit method," J. Biomed. Opt. 19(12), 126013 (2014).

[7] V. Ntziachristos, J. Ripoll, L V. Wang, R. Weissleder, "Looking and listening to light: The evolution of whole-body photonic imaging," Nat. Biotech. 23(3), 313–320 (2005).

[8] A. D. Klose, E. W. Larsen, "Light transport in biological tissue based on the simplified spherical harmonics equations," J. Comput. Phys. 220(1), 441–470 (2006).

[9] H. Guo, Y. Hou, X. He, J. Yu, J. Cheng, X. Pu, "Adaptive hp finite element method for fluorescence molecular tomography with simplified spherical harmonics approximation," J. Innov. Opt. Health Sci. 7(02) 1350057 (2014).

[10] D. Wang, X. Song, J. Bai, "Adaptive-mesh-based algorithm for fluorescence molecular tomography using an analytical solution (Vol. 15, pg. 9722, 2007)," Opt. Express 15(15), 9722–9730 (2007).

[11] J. C. Baritaux, K. Hassler, M. Unser, "An efficient numerical method for general regularization in fluorescence molecular tomography," IEEE Trans. Med. Imag. 29(4), 1075–1087 (2010).

[12] Y. An, J. Liu, G. Zhang, J. Ye, Y. Du, Y. Mao, C. Chi, J. Tian. "A novel region reconstruction method for fluorescence molecular tomography," IEEE Trans. Biomed. Eng. 62(7), 1818–1826 (2015).

[13] D. Han, J. Tian, S. Zhu, J. Feng, C. Qin, B. Zhang, X. Yang, "A fast reconstruction algorithm for fluorescence molecular tomography with sparsity regularization," Opt. Express 18(8), 8630–8646 (2010).

[14] J. Shi, F. Liu, H. Pu, S. Zuo, J. Luo, J. Bai, "An adaptive support driven reweighted l1-regularization algorithm for fluorescence molecular tomography," Biomed. Opt. Express 5(11), 4039– 4052 (2014).

[15] H. Yi, D. Chen, X. Qu, K. Peng, X. Chen, Y. Zhou, J. Tian, J. Liang, "Multilevel, hybrid regularization method for reconstruction of fluorescent molecular tomography," Appl. Opt. 51(7), 975–986 (2012).

[16] W. Xie, Y. Deng, K. Wang, X. Yang, Q. Luo, "Reweighted l1 regularization for restraining artifacts in FMT reconstruction images with limited measurements," Opt. Lett. 39(14), 4148–4151 (2014).

[17] D. Zhu, C. Li, "Nonconvex regularizations in fluorescence molecular tomography for sparsity enhancement," Phys. Med. Biol. 59(12), 2901 (2014).

[18] H. Guo, J. Yu, X. He, Y. Hou, F. Dong, S. Zhang, "Improved sparse reconstruction for fluorescence molecular tomography with l1/2 regularization," Biomed. Opt. Express 6, 1648–1664 (2015).

[19] E. J. Candes, T. Tao, "Decoding by linear programming," IEEE Trans. Inform. Theory 51(12), 4203–4215 (2005).

[20] J. A. Tropp, A. C. Gilbert, "Signal recovery from random measurements via orthogonal matching pursuit," IEEE Trans. Inform. Theory 53(12), 4655–4666 (2007).

[21] D. Han, X. Yang, K. Liu, C. Qin, B. Zhang, X. Ma, J. Tian, "Efficient reconstruction method for l1 regularization in fluorescence molecular tomography," Appl. Opt. 49(36), 6930–6937 (2010).

[22] J. Ye, C. Chi, Z. Xue, P. Wu, Y. An, H. Xu, S. Zhang, J. Tian, " Fast and robust reconstruction for fluorescence molecular tomography via a sparsity adaptive subspace pursuit method," Biomed. Opt. Express 5(2), 387–406 (2014).

[23] D. Needell, J. Tropp, "CoSaMP: Iterative signal recovery from incomplete and inaccurate samples," Appl. Comput. Harmon. Anal. 26(3), 301–321 (2008).

[24] M. A. Davenport, D. Needell, M. B. Wakin, "Signal space cosamp for sparse recovery with redundant dictionaries," IEEE Trans. Inform. Theory 59(10), 6820–6829 (2013).

[25] Y. Yongdou, Y. Jianqiao, W. Yuyong, L. Xia, C. Tingting, "A improved cosamp algorithm based on correlation coefficient for compressed sensing image reconstruction," J. Comput. Inform. Syst. 9(18), 7325–7331 (2013).

[26] A. D. Klose, B. J. Beattie, H. Dehghani, L. Vider, C. Le, V. Ponomarev, R. Blasberg, "In vivo bioluminescence tomography with a blocking-off finitedi fference sp3 method and mri/ct coregistration," Med. Phys. 37(1), 329–338 (2010).

[27] M. Chu, H. Dehghani, "Image reconstruction in diffuse optical tomography based on simplified spherical harmonics approximation," Opt. Express 17(26), 24208–24223 (2009).

[28] Y. Lu, A. Douraghy, H. B. Machado, D. Stout, J. Tian, H. Herschman, A. F. Chatziioannou, "Spectrally resolved bioluminescence tomography with the third-order simplified spherical harmonics approximation," Phys. Med. Biol. 54(21), 6477 (2009).

[29] B. Dogdas, D. Stout, A. F. Chatziioannou, R. M. Leahy, "Digimouse: A 3d whole body mouse atlas from ct and cryosection data," Phys. Med. Biol. 52(3), 577 (2007).

Xiaowei He, Hongbo Guo, Jingjing Yu, Xu Zhang, Yuqing Hou. Effective and robust approach for fluorescence molecular tomography based on CoSaMP and SP₃ model[J]. Journal of Innovative Optical Health Sciences, 2016, 9(6): 1650024.

Effective and robust approach for fluorescence molecular tomography based on CoSaMP and SP₃ model

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