Methods in diffuse optical imaging

Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 369, Issue 1955, 2011, Pages 4558-4576

  Arridge, Simon R ^a  

^a UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Inverse problems; Medical imaging; Near infrared; Tomography

Indexed keywords

INVERSE PROBLEMS; MEDICAL IMAGING; TOMOGRAPHY;

BASIC MODELS; CURRENT TRENDS; DIFFUSE OPTICAL IMAGING; DIFFUSION APPROXIMATIONS; FUTURE DIRECTIONS; LINEAR AND NONLINEAR PROBLEMS; MESOSCOPICS; NEAR INFRARED; OPTICAL IMAGING; RECONSTRUCTION METHOD;

OPTICAL IMAGE STORAGE;

ACOUSTICS; ALGORITHM; DIAGNOSTIC IMAGING; DIFFUSION; FINITE ELEMENT ANALYSIS; HUMAN; IMAGE PROCESSING; METHODOLOGY; NEAR INFRARED SPECTROSCOPY; OPTICAL TOMOGRAPHY; OPTICS; PHOTON; PHYSICS; RADIATION SCATTERING; REPRODUCIBILITY; REVIEW; TIME;

ACOUSTICS; ALGORITHMS; DIAGNOSTIC IMAGING; DIFFUSION; FINITE ELEMENT ANALYSIS; HUMANS; IMAGE PROCESSING, COMPUTER-ASSISTED; OPTICS AND PHOTONICS; PHOTONS; PHYSICS; REPRODUCIBILITY OF RESULTS; SCATTERING, RADIATION; SPECTROSCOPY, NEAR-INFRARED; TIME FACTORS; TOMOGRAPHY, OPTICAL;

EID: 82255196458     PISSN: 1364503X     EISSN: None     Source Type: Journal    
DOI: 10.1098/rsta.2011.0311     Document Type: Review

References (27)

1. Sobolev, V. V. 1963 A treatise on radiative transfer. Princeton, NJ: D. Van Nostrand Company, Inc.
2. Ishimaru, A. 1978 Wave propagation and scattering in random media, vol. 1. New York, NY: Academic Press.
3. Arridge, S. R. 1999 Optical tomography in medical imaging. Inverse Probl. 15, R41-R93. (doi:10.1088/0266-5611/15/2/022)
4. Wright, S., Arridge, S. R. & Schweiger, M. 2009 A finite element method for the evenparity radiative transfer equation using the PN approximation. In Numerical methods in multidimensional radiative transfer (eds G. Kanschat, E. Meinköhn, R. Rannacher & R. R. Wehrse), pp. 39-48. Berlin, Germany: Springer. (doi:10.1007/978-3-540-85369-5-4)
5. Wang, L. & Jacques, S. L. 1993 Hybrid model of Monte Carlo simulation diffusion theory for light reflectance by turbid media. J. Opt. Soc. Am. A 10, 1746-1752. (doi:10.1364/ JOSAA.10.001746)
6. Arridge, S. R., Dehghani, H., Schweiger, M. & Okada, E. 2000 The finite element model for the propagation of light in scattering media: a direct method for domains with non-scattering regions. Med. Phys. 27, 252-264. (doi:10.1118/1.598868) (Pubitemid 30051938)
7. Bal, G. 2002 Transport through diffusive and non-diffusive regions, embedded objects, and clear layers. SIAM J. Appl. Math. 62, 1677-1697. (doi:10.1137/S0036139900372600) (Pubitemid 35298530)
8. Tarvainen, T., Vauhkonen, M., Kolehmainen, V. & Kaipio, J. P. 2005 A hybrid radiative transfer-diffusion model for optical tomography. Appl. Opt. 44, 876-886. (doi:10.1364/AO.44.000876) (Pubitemid 40339437)
9. Soloviev, V. Y. & Arridge, S. R. 2011 Optical tomography in weakly scattering media in the presence of highly scattering inclusions. Biomed. Opt. Express 2, 440-451. (doi:10.1364/BOE. 2.000440)
10. Arridge, S. R. & Schweiger, M. 1995 Direct calculation of the moments of the distribution of photon time of flight in tissue with a finite-element method. Appl. Opt. 34, 2683-2687. (doi:10.1364/AO.34.002683)
11. Arridge, S. R., Schweiger, M., Hiraoka, M. & Delpy, D. T. 1993 A finite element approach for modeling photon transport in tissue. Med. Phys. 20, 299-309. (doi:10.1118/1.597069) (Pubitemid 23136192)
12. Arridge, S. R. & Schotland, J. C. 2009 Optical tomography: forward and inverse problems. Inverse Probl. 25, 123010. (doi:10.1088/0266-5611/25/12/ 123010)
13. Schweiger, M. & Arridge, S. R. 2010 Comparison of some reconstruction schemes for optical tomography. In Biomedical mathematics: promising directions in imaging, therapy planning, and inverse problems (eds Y. Censor, M. Jiang & G. Wang), pp. 385-404. Madison, WI: Medical Physics Publishing.
14. Gu, X., Zhang, Q., Larcom, L. & Jiang, H. 2004 Three-dimensional bioluminescence tomography with model-based reconstruction. Opt. Express 12, 3996-4000. (doi:10.1364/ OPEX.12.003996)
15. Wang, G., Li, Y. & Jiang, M. 2004 Uniqueness theorems in bioluminescence tomography. Med. Phys. 31, 2289-2299. (doi:10.1118/1.1766420) (Pubitemid 39079722)
16. Cong, W. et al. 2005 Practical reconstruction methods for bioluminescence tomography. Opt. Express 13, 6756-6771. (doi:10.1364/OPEX.13.006756) (Pubitemid 41305547)
17. Chaudhari, A. J., Darvas, F., Bading, J. R., Moasts, R. A., Conti, P. S., Smith, D. J., Cherry, S. R. & Leahy, R. M. 2005 Hyperspectral and multispectral bioluminescence optical tomography for small animal imaging. Phys. Med. Biol. 50, 5421-5441. (doi:10.1088/0031-9155/ 50/23/001) (Pubitemid 41750433)
18. Alexandraxis, G., Rannou, F. R. & Chatziioannou, A. F. 2005 Tomographic bioluminescence imaging by use of a combined optical-PET (OPET) system: a computer feasibility study. Phys. Med. Biol. 50, 4225-4241. (doi:10.1088/0031-9155/50/17/021) (Pubitemid 41225267)
19. Corlu, A., Durduran, T., Choe, R., Schweiger, M., Hillman, E. M. C., Arridge, S. R. & Yodh, A. G. 2003 Uniqueness and wavelength optimization in continuous-wave multispectral diffuse optical tomography. Opt. Lett. 28, 2339-2341. (doi:10.1364/OL.28.002339)
20. Corlu, A., Choe, R., Durduran, T., Lee, K., Schweiger, M., Arridge, S. R., Hillman, E. M. C. & Yodh, A. G. 2005 Diffuse optical tomography with spectral constraints and wavelength optimization. Appl. Opt. 44, 2082-2093. (doi:10.1364/AO.44.002082) (Pubitemid 40567083)
21. Markel, V. A. & Schotland, J. C. 2004 Symmetries, inversion formulas and image reconstruction for optical tomography. Phys. Rev. E 70, 056616. (doi:10.1103/PhysRevE.70.056616) (Pubitemid 40108196)
22. Wang, Z. M., Panasyuk, G., Markel, V. A. & Schotland, J. C. 2005 Experimental demonstration of an analytic method for image reconstruction in optical diffusion tomography with large data sets. Opt. Lett. 30, 3338-3340. (doi:10.1364/OL.30.003338) (Pubitemid 43099196)
23. Konecky, S. D. Panasyuk, G. Y., Lee, K., Markel, V., Yodh, A. G. & Schotland, J. C. 2008 Imaging complex structures with diffuse light. Opt. Express 16, 5048-5060. (doi:10.1364/ OE.16.005048) (Pubitemid 351483468)
24. Ducros, N., Bassi, A., Valentini, G., Schweiger, M., Arridge, S. R. & d'Andrea, C. 2011 Multiple view fluorescence optical tomography using compression of experimental data. Opt. Lett. 36, 1377-1379. (doi:10.1364/OL.36. 001377)
25. Kaipio, J. & Somersalo, E. 2005 Statistical and computational inverse problems. New York, NY: Springer.
26. Arridge, S. R., Kaipio, J. P., Kolehmainen, V., Schweiger, M., Somersalo, E., Tarvainen, T. & Vauhkonen, M. 2006 Approximation errors and model reduction with an application in optical diffusion tomography. Inverse Probl. 22, 175-196. (doi:10.1088/0266-5611/22/1/010) (Pubitemid 43185096)
27. Tarvainen, T., Kolehmainen, V., Kaipio, J. P. & Arridge, S. R. 2010 Corrections to linear methods for diffuse optical tomography using approximation error modelling. Biomed. Opt. Express 1, 209-222. (doi:10.1364/BOE.1.000209)