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Published in: Medical & Biological Engineering & Computing 1-2/2013

01-02-2013 | Original Article

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

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

Published in: Medical & Biological Engineering & Computing | Issue 1-2/2013

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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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Literature
1.
go back to reference Arridge SR (1995) Photon-measurement density functions. Part I: Analytical forms. Appl Opt 34(31):7395–7409PubMedCrossRef Arridge SR (1995) Photon-measurement density functions. Part I: Analytical forms. Appl Opt 34(31):7395–7409PubMedCrossRef
2.
go back to reference Baritaux J, Hassler K, Bucher M, Sanyal S, Unser M (2011) Sparsity-driven reconstruction for FDOT with anatomical priors. IEEE Trans Med Imaging 30(5):1143–1153PubMedCrossRef Baritaux J, Hassler K, Bucher M, Sanyal S, Unser M (2011) Sparsity-driven reconstruction for FDOT with anatomical priors. IEEE Trans Med Imaging 30(5):1143–1153PubMedCrossRef
3.
go back to reference Boas DA, O’Leary MA, Chance B, Yodh AG (1994) Scattering of diffuse photon density waves by spherical inhomogeneities within turbid media: analytic solution and applications. Proc Nati Acad Sci USA 91:4887–4891CrossRef Boas DA, O’Leary MA, Chance B, Yodh AG (1994) Scattering of diffuse photon density waves by spherical inhomogeneities within turbid media: analytic solution and applications. Proc Nati Acad Sci USA 91:4887–4891CrossRef
4.
go back to reference Cong W, Durairaj K, Wang LV, Wang G (2006) A Born-type approximation method for bioluminescence tomography. Med Phys 33(3):679–686PubMedCrossRef Cong W, Durairaj K, Wang LV, Wang G (2006) A Born-type approximation method for bioluminescence tomography. Med Phys 33(3):679–686PubMedCrossRef
5.
go back to reference Deliolanis NC, Dunham J, Wurdinger T, Figueiredo J, Tannous BA, Ntziachristos V (2009) In vivo imaging of murine tumors using complete-angle projection fluorescence molecular tomography. J Biomed Opt 14(3):030509PubMedCrossRef Deliolanis NC, Dunham J, Wurdinger T, Figueiredo J, Tannous BA, Ntziachristos V (2009) In vivo imaging of murine tumors using complete-angle projection fluorescence molecular tomography. J Biomed Opt 14(3):030509PubMedCrossRef
6.
go back to reference Kak A, Slaney M (1987) Computerized tomographic imaging. IEEE Press, New York Kak A, Slaney M (1987) Computerized tomographic imaging. IEEE Press, New York
7.
go back to reference Liu F, Liu X, Wang D, Zhang B, Bai J (2010) A parallel excitation based fluorescence molecular tomography system for whole-body simultaneous imaging of small animals. Ann Biomed Eng 38:3440–3448PubMedCrossRef Liu F, Liu X, Wang D, Zhang B, Bai J (2010) A parallel excitation based fluorescence molecular tomography system for whole-body simultaneous imaging of small animals. Ann Biomed Eng 38:3440–3448PubMedCrossRef
8.
go back to reference Meyer H, Garofalakis A, Zacharakis G, Psycharakis S, Mamalaki C, Kioussis D, Economou EN, Ntziachristos V, Ripoll J (2007) Noncontact optical imaging in mice with full angular coverage and automatic surface extraction. Appl Opt 46(17):3617–3627PubMedCrossRef Meyer H, Garofalakis A, Zacharakis G, Psycharakis S, Mamalaki C, Kioussis D, Economou EN, Ntziachristos V, Ripoll J (2007) Noncontact optical imaging in mice with full angular coverage and automatic surface extraction. Appl Opt 46(17):3617–3627PubMedCrossRef
9.
go back to reference Montet X, Figueiredo J, Alencar H, Mahmood U, Weissleder R (2007) Tomographic fluorescence imaging of tumor vascular volume in mice. Radiology 242(3):751–758PubMedCrossRef Montet X, Figueiredo J, Alencar H, Mahmood U, Weissleder R (2007) Tomographic fluorescence imaging of tumor vascular volume in mice. Radiology 242(3):751–758PubMedCrossRef
10.
go back to reference Moskow S, Schotland JC (2009) Numerical studies of the inverse Born series for diffuse waves. Inverse Probl 25:095007CrossRef Moskow S, Schotland JC (2009) Numerical studies of the inverse Born series for diffuse waves. Inverse Probl 25:095007CrossRef
11.
go back to reference Ntziachristos V, Ripoll J, Wang LV, Weissleder R (2005) Looking and listening to light: the evolution of whole-body photonic imaging. Nat Biotechnol 23(3):313–320PubMedCrossRef Ntziachristos V, Ripoll J, Wang LV, Weissleder R (2005) Looking and listening to light: the evolution of whole-body photonic imaging. Nat Biotechnol 23(3):313–320PubMedCrossRef
12.
go back to reference Patterson MS, Chance B, Wilson BC (1989) Time resolved reflectance and transmittance for the noninvasive measurement of tissue optical properties. Appl Opt 28(12):2331–2336PubMedCrossRef Patterson MS, Chance B, Wilson BC (1989) Time resolved reflectance and transmittance for the noninvasive measurement of tissue optical properties. Appl Opt 28(12):2331–2336PubMedCrossRef
13.
go back to reference Ripoll J, Nieto-Vesperinas M, Weissleder R, Ntziachristos V (2002) Fast analytical approximation for arbitrary geometries in diffuse optical tomography. Opt Lett 27(7):527–529PubMedCrossRef Ripoll J, Nieto-Vesperinas M, Weissleder R, Ntziachristos V (2002) Fast analytical approximation for arbitrary geometries in diffuse optical tomography. Opt Lett 27(7):527–529PubMedCrossRef
14.
go back to reference Ripoll J, Ntziachristos V, Carminati R, Nieto-Vesperinas M (2001) Kirchhoff approximation for diffusive waves. Phys Rev E 64:051917CrossRef Ripoll J, Ntziachristos V, Carminati R, Nieto-Vesperinas M (2001) Kirchhoff approximation for diffusive waves. Phys Rev E 64:051917CrossRef
15.
go back to reference Schulz RB, Ripoll J, Ntziachristos V (2004) Experimental fluorescence tomography of tissues with noncontact measurements. IEEE Trans Med Imaging 23(4):492–500PubMedCrossRef Schulz RB, Ripoll J, Ntziachristos V (2004) Experimental fluorescence tomography of tissues with noncontact measurements. IEEE Trans Med Imaging 23(4):492–500PubMedCrossRef
16.
go back to reference Song X, Wang D, Chen N, Bai J, Wang H (2007) Reconstruction for free-space fluorescence tomography using a novel hybrid adaptive finite element algorithm. Opt Express 15(26):18300–18317PubMedCrossRef Song X, Wang D, Chen N, Bai J, Wang H (2007) Reconstruction for free-space fluorescence tomography using a novel hybrid adaptive finite element algorithm. Opt Express 15(26):18300–18317PubMedCrossRef
17.
go back to reference Soto-Crespo JM, Nieto-Vesperinas M (1989) Electromagnetic scattering from very rough random surfaces and deep reflection gratings. J Opt Soc Am A 6(3):367–384CrossRef Soto-Crespo JM, Nieto-Vesperinas M (1989) Electromagnetic scattering from very rough random surfaces and deep reflection gratings. J Opt Soc Am A 6(3):367–384CrossRef
18.
go back to reference van Horssen P, Siebes M, Hoefer I, Spaan JA, van den Wijngaard JP (2010) Improved detection of fluorescently labeled microspheres and vessel architecture with an imaging cryomicrotome. Med Biol Eng Comput 48(8):735–744PubMedCrossRef van Horssen P, Siebes M, Hoefer I, Spaan JA, van den Wijngaard JP (2010) Improved detection of fluorescently labeled microspheres and vessel architecture with an imaging cryomicrotome. Med Biol Eng Comput 48(8):735–744PubMedCrossRef
19.
go back to reference Weissleder R, Ntziachristos V (2003) Shedding light onto live molecular targets. Nat Med 9(1):123–128PubMedCrossRef Weissleder R, Ntziachristos V (2003) Shedding light onto live molecular targets. Nat Med 9(1):123–128PubMedCrossRef
20.
go back to reference Zhou L, Yazici B, Ale AB, Ntziachristos V (2010) Performance evaluation of adaptive meshing algorithms for fluorescence diffuse optical tomography using experimental data. Opt Lett 35(22):3727–3729PubMedCrossRef Zhou L, Yazici B, Ale AB, Ntziachristos V (2010) Performance evaluation of adaptive meshing algorithms for fluorescence diffuse optical tomography using experimental data. Opt Lett 35(22):3727–3729PubMedCrossRef
Metadata
Title
A hybrid reconstruction algorithm for fluorescence tomography using Kirchhoff approximation and finite element method
Authors
Xin Wang
Xu Cao
Bin Zhang
Fei Liu
Jianwen Luo
Jing Bai
Publication date
01-02-2013
Publisher
Springer-Verlag
Published in
Medical & Biological Engineering & Computing / Issue 1-2/2013
Print ISSN: 0140-0118
Electronic ISSN: 1741-0444
DOI
https://doi.org/10.1007/s11517-012-0953-1

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