An overview on recent radiation transport algorithm development for optical tomography imaging

Journal of Quantitative Spectroscopy and Radiative Transfer

Volumn 109, Issue 17-18, 2008, Pages 2743-2766

  Charette, André ^a   Boulanger, Joan ^b   Kim, Hyun K ^c  

^a UNIVERSITÉ DU QUÉBEC À CHICOUTIMI   (Canada)

^b NATIONAL RESEARCH COUNCIL CANADA   (Canada)

^c Department of Earth and Environmental Sciences   (United States)

Author keywords

Imaging; Inverse problem; Optical tomography; Radiative transfer; Reconstruction algorithm

Indexed keywords

ASTROPHYSICS; BOOLEAN FUNCTIONS; DIAGNOSTIC RADIOGRAPHY; INVERSE PROBLEMS; OPTICAL TOMOGRAPHY; RESTORATION; TOMOGRAPHY;

CLINICAL APPLICATIONS; COMPUTING; DATA TREATMENTS; IMAGING; IMAGING ALGORITHMS; INVASIVE METHODS; LIGHT TRANSPORTS; LOW COSTS; MODELLING; RADIATION TRANSPORTS; RAPID EXPANSIONS; RECONSTRUCTION ALGORITHM; TRANSPARENT MEDIAS;

MEDICAL IMAGING;

ALGORITHM; IMAGING METHOD; INVERSE PROBLEM; MODELING; OPTICAL METHOD; RADIATIVE TRANSFER; TOMOGRAPHY;

EID: 54449091169     PISSN: 00224073     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jqsrt.2008.06.007     Document Type: Review

References (109)

1. Platon, Le Timée, GF Flammarion, Manchecourt, 1992.
2. Cutler M. Transillumination of the breast. Ann Surg 93 1 (1931) 223-234
3. Hebden J.C., Arridge S.R., and Delpy D.T. Optical imaging in medicine: I. Experimental techniques. Phys Med Biol 42 5 (1997) 825-840
4. Louis A.K. Medical imaging: state of the art and future development. Inverse Prob 8 5 (1992) 709-738
5. Ntziachristos V., Yodh A.G., Schnall M., and Chance B. Concurrent MRI and diffuse optical tomography of breast after indocyanine green enhancement. Proc Nat Acad Sci USA 97 6 (2000) 2767-2772
6. Zhu Q., Cronin E.B., Currier A.A., Vine H.S., Huang M., Chen N., and Xu C. Benign versus malignant breast masses: optical differentiation with US-guided optical imaging reconstruction. Radiol 237 1 (2005) 57-66
7. Schweiger M., and Arridge S.R. Optical tomographic reconstruction in a complex head model using a priori region boundary information. Phys Med Biol 44 11 (1999) 2703-2721
8. Barbour R.L., Graber H.L., Jenghwa C., Barbour S.-L.S., Koo P.C., and Aronson R. MRI-guided optical tomography: prospects and computation for a new imaging method. Comput Sci Eng IEEE 2 4 (1995) 63-77
9. Xie T., Guo S., Zhang J., Chen Z., and Peavy G.M. Determination of characteristics of degenerative joint disease using optical coherence tomography and polarization sensitive optical coherence tomography. Laser Surg Med 38 9 (2006) 852-865
10. Zhang Q., and Jiang H. Three-dimensional diffuse optical imaging of hand joints: system description and phantom studies. Opt Lasers Eng 43 11 (2005) 1237-1251
11. Hielscher A.H., Klose A.D., Scheel A.K., Moa-Anderson B., Backhaus M., Netz U., and Beuthan J. Sagittal laser optical tomography for imaging of rheumatoid finger joints. Phys Med Biol 49 7 (2004) 1147-1163
12. Xu Y., Iftimia N., Jiang H., Lyndon-Key L., and Bolster M. Imaging of in vitro and in vivo bones and joints with continuous-wave diffuse optical tomography. Opt Exp 8 7 (2001) 447-451
13. Hielscher A.H. Optical tomographic imaging of small animals. Curr Opin Biotechnol 16 1 (2005) 79-88
14. Valerio C., Ruiz-Altisent M., Cubeddu R., Pifferi A., Taroni P., Toricelli A., et al. Selection models for the internal quality of fruit, based on time domain laser reflectance spectroscopy. Biosyst Eng 88 3 (2004) 313-323
15. Churnside J.H., Wilson J.J., and Tatarskii V.V. Lidar profiles of fish schools. Appl Opt 36 24 (1997) 6011-6020
16. Mitra K., and Churnside J.H. Transient radiative transfer equation applied to oceanographic lidar. Appl Opt 38 6 (1999) 889-895
17. Ihrke I, Magnor M. Adaptive grid optical tomography. In: Proceedings of the IMA vision, video, and graphics (VVG'05). Edinburgh, UK, July 2005. p. 141-8.
18. Zheng Y., Li Y., and Liu Q. Measurement of mass flow rate of particulate solids in gravity chute conveyor based on laser sensing array. Opt Lasers Tech 39 2 (2007) 298-305
19. Berg R., Jarlman O., and Svanberg S. Medical transillumination imaging using short-pulse diode lasers. Appl Opt 32 4 (1993) 574-579
20. Hielscher A.H., Bluestone A.Y., Abdoulaev G.S., Klose A.D., Lasker J., Stewart M., et al. Near-infrared diffuse optical tomography. Dis Mark 18 5-6 (2002) 313-337
21. Hwang K., Pan T., Joshi A., Rasmussen J.C., Bangerth W., and Sevick-Muraca E.M. Influence of excitation light rejection on forward model mismatch in optical tomography. Phys Med Biol 51 22 (2006) 5889-5902
22. Klose A.D., Ntziachristos V., and Hielscher A.H. The inverse source problem based on the radiative transfer equation in optical molecular imaging. J Comput Phys 202 1 (2005) 323-345
23. Klose A.D., and Hielscher A.H. Fluorescence tomography with simulated data based on the equation of radiative transfer. Opt Lett 28 12 (2003) 1019-1021
24. Industry Canada. Medical imaging technology roadmap. 〈http://www.ic.gc.ca/epic/site/mitr-crtim.nsf/en/hm01517e.html〉; 2005.
25. Colella P., and Woodward P.R. The piecewise parabolic method (PPM) for gas-dynamical simulations. J Comput Phys 54 1 (1984) 174-201
26. Cheong W., Prahl S., and Welch A. A review of the optical properties of biological tissues. IEEE J Quantum Electron 26 12 (1990) 2166-2185
27. Patterson M.S., Chance B., and Wilson B.C. Time resolved reflectance and transmittance for the non-invasive measurement of tissue optical properties. Appl Opt 28 12 (1989) 2331-2336
28. Webb S. The physics of medical imaging (1988), Taylor & Francis, Abingdon, UK
29. Ayrancy I., Vaillon R., Selçuk N., André F., and Escudié D. Determination of soot temperature volume, fraction and refractive index from flame emission spectrometry. JQSRT 104 2 (2007) 266-276
30. Wang L., Ho P., and Alfano R. Time-resolved Fourier spectrum and imaging in highly scattering media. Appl Opt 32 26 (1993) 5043-5048
31. Mahon R., Duncan M., Tankersley L., and Reintjes J. Time-gated imaging through dense scatterers with a Raman amplifier. Appl Opt 32 36 (1991) 7425-7433
32. Tomlins P.H., and Wang R.K. Theory, developments and applications of optical coherence tomography. J Phys D: Appl Phys 38 15 (2005) 2519-2535
33. Wilder-Smith P., Jun W.-G., Brenner M., Osann K., Beydoun H., Messadi D., et al. In vivo optical coherence tomography for the diagnosis of oral malignancy. Laser Surg Med 33 4 (2004) 269-275
34. Fercher A.F., Drexler W., Hitzenberger C.K., and Lasser T. Optical coherence tomography-principles and applications. Prog Phys 66 2 (2003) 239-303
35. Wang R.K. Resolution improved optical coherence-gated tomography for imaging through biological tissues. J Mod Opt 46 13 (1999) 1905-1912
36. Wells K, Hebden JC, Schmidt FEW, Delpy DT. The UCL multichannel time-resolved system for optical tomography. In: Proceedings of the SPIE, 1997.
37. Fantini S., Franceschini M.A., Maier J.S., Walker S.A., Barbieri B., and Gratton E. Frequency domain multi-channel optical detector for noninvasive tissue spectroscopy and oximetry. Opt Eng 34 1 (1995) 32-42
38. Hielscher A.H., Liu H., Chance B., Tittel F.K., and Jacques S.L. Time-resolved photon emission from layered turbid media. Appl Opt 35 4 (1996) 719-728
39. Wan S., Guo Z., Kumar S., Aber J., and Garetz B. Noninvasive detection of inhomogeneities in turbid media with time-resolved log-slope analysis. JQSRT 84 4 (2004) 493-500
40. Delpy D.T., Cope M., van der Zee P., Arridge S.R., Wray S., and Wyatt J. Estimation of optical pathlength through tissue from direct time of flight measurement. Phys Med Biol 33 12 (1988) 1433-1442
41. Pogue B.W., and Patterson M.S. Frequency-domain optical absorption spectroscopy of finite tissue volumes using diffusion theory. Phys Med Biol 39 7 (1994) 1157-1180
42. Gratton E., Mantulin W.W., vandeVen M.J., Fishkin J.B., Maris M.B., and Chance B. A novel approach to laser tomography. Bioimaging 1 1 (1993) 40-46
43. Sakami M., and Charette A. Application of a modified discrete ordinates method to two-dimensional enclosures of irregular geometry. JQSRT 64 3 (2000) 275-298
44. Sakami M., Mitra K., and Hsu P.-F. Analysis of light pulse transport through two-dimensional scattering and absorbing media. JQSRT 73 2-5 (2002) 169-179
45. Mitra K., and Kumar S. Development and comparison of models for light-pulse transport through scattering-absorbing media. Appl Opt 38 1 (1999) 188-196
46. Modest M.F. Radiative heat transfer (1993), McGraw-Hill, New York
47. Siegel R., and Howell J.R. Thermal radiation heat transfer. 4th ed. (2002), Taylor and Francis-Hemisphere, Washington
48. Kumar S., Mitra K., and Yamada Y. Hyperbolic damped-wave models for transient light-pulse propagation in scattering media. Appl Opt 35 19 (1996) 3372-3378
49. Keijzer M., Star W.M., and Storchi P.R.M. Optical diffusion in layered media. Appl Opt 27 9 (1988) 1820-1824
50. Jiang H., Paulsen K., and Österberg U. Optical image reconstruction using DC data: simulations and experiments. Phys Med Biol 41 8 (1996) 1483-1498
51. Haskell R., Svaasand L., Tsay T., Feng T., McAdams M., and Tromberg B. Boundary conditions for the diffusion equation in radiative transfer. J Opt Soc Am A 11 10 (1994) 2727-2741
52. Kumar S, Mitra K. Hyperbolic models for biomedical imaging by short pulse lasers. In: ASME, editor. Advances in heat and mass transfer in biotechnology, vol. 322, 1995. p. 43-8.
53. Schweiger M., Arridge S.R., Dorn O., Zacharopoulos A., and Kolehmainen V. Reconstruction absorption and diffusion shape profiles in optical tomography by a level set technique. Opt Lett 31 4 (2006) 471-473
54. Ito S. Theory of beam light pulse propagation through thick clouds: effects of beamwidth and scatterers behind the light source on pulse broadening. Appl Opt 20 15 (1981) 2706-2715
55. Wright S., Schweiger M., and Arridge S.R. Reconstruction in optical tomography using the PN approximations. Meas Sci Technol 18 1 (2007) 79-86
56. Ustinov E.A. Adjoint sensitivity analysis of radiative transfer equation: 2. applications to retrievals of temperature in scattering atmospheres in thermal IR. JQSRT 73 1 (2002) 29-40
57. Tan Z.-M., and Hsu P.-F. An integral formulation of transient radiative transfer. J Heat Transfer 123 3 (2001) 466-475
58. Arridge S.R. Optical tomography in medical imaging. Inverse Probl 15 2 (1999) 41-93
59. Pham T., Spott T., Svaasand L., and Tromberg B. Quantifying the properties of two-layered turbid media with frequency-domain diffuse reflectance. Appl Opt 39 25 (2000) 4733-4745
60. Dam J., Andersen P., Dalgaard T., and Fabricius P. Determination of tissue optical properties from diffuse reflectance profiles by multivariate calibration. Appl Opt 37 4 (1998) 772-778
61. Madsen S., Wilson B., Patterson M., Park Y., Jacques S., and Hefetz Y. Experimental tests of a simple diffusion model for the estimation of scattering and absorption coefficients of turbid media from time-resolved diffuse reflectance measurements. Appl Opt 31 18 (1992) 3509-3517
62. Sassaroli A., Martelli F., Imai D., and Yamada Y. Study on the propagation of ultra-short pulse light in cylindrical optical phantoms. Phys Med Biol 44 11 (1999) 2747-2763
63. Arridge S.R., and Hebden J.C. Optical imaging in medicine: II. Modelling and reconstruction. Phys Med Biol 42 5 (1997) 841-853
64. Dorn O. A transport-backtransport method for optical tomography. Inverse Probl 14 5 (1998) 1107-1130
65. Pei Y., Graber H.L., and Barbour R.L. Normalized-constraint algorithm for minimizing inter-parameter crosstalk in DC optical tomography. Opt Exp 9 2 (2001) 97-109
66. Pogue B.W., Patterson M.S., Jiang H., and Paulson K.D. Initial assessment of a simple system for frequency domain diffuse optical tomography. Phys Med Biol 40 10 (1995) 1709-1729
67. Pogue B.W., McBride T.O., Prewitt J., Österberg U.L., and Paulsen K.D. Spatially variant regularization improves diffuse optical tomography. Appl Opt 38 13 (1999) 2950-2961
68. Douiri A., Schweiger M., Riley J., and Arridge S.R. Anisotropic diffusion regularization methods for diffuse optical tomography using edge prior information. Meas Sci Technol 18 1 (2007) 87-95
69. Daun K.J., and Howell J.R. Inverse design methods for radiative transfer systems. JQSRT 93 1-3 (2005) 43-60
70. Daun K.J., França F., Larsen M., Leduc G., and Howell J.R. Comparison of methods for inverse design of radiant enclosures. J Heat Transfer 128 3 (2006) 269-282
71. Bluestone A.Y., Abdoulaev G., Schmitz C.H., Barbour R.L., and Hielscher A.H. Three-dimensional optical tomography of hemodynamics in the human head. Opt Exp 9 6 (2001) 272-286
72. Klose A.D., and Hielscher A.H. Optical tomography using the time-independent equation of radiative transfer-part 2: inverse model. JQSRT 72 5 (2002) 715-732
73. Ren K., Bal G., and Hielscher A.H. Frequency domain optical tomography based on the equation of radiative transfer. SIAM J Sci Comput Arch 28 4 (2006) 1463-1489
74. Kim H.K., and Charette A. A sensitivity function-based conjugate gradient method for optical tomography with the frequency-domain equation of radiative transfer. JQSRT 104 1 (2007) 24-39
75. Boulanger J., and Charette A. Numerical developments for short-pulsed near infra-red laser spectroscopy. part II: inverse treatment. JQSRT 91 3 (2005) 297-318
76. Hielscher A.H., Klose A.D., and Hanson K. Gradient-based iterative image reconstruction scheme for time-resolved optical tomography. IEEE Trans Med Image 18 3 (1999) 262-271
77. Nocedal J., and Wright S.J. Numerical optimization (1999), Springer, New York, NY, USA
78. Klose A.D., and Hielscher A.H. Quasi-Newton methods in optical tomographic image reconstruction. Inverse Probl 19 2 (2003) 387-409
79. Kim H.K., and Charette A. Frequency domain optical tomography using a conjugate gradient method without line search. JQSRT 104 2 (2007) 248-256
80. Dai Y.H. Convergence of nonlinear conjugate gradient methods. J Comp Math 19 (2001) 539-548
81. Nocedal J. Updating quasi-Newton matrices with limited storage. Math Comput 35 151 (1980) 373-382
82. Kim HK, Charette A. A new solution method for optical tomography in the frequency domain. In: International heat transfer conference, Sydney, Australia, 2006.
83. Boas D.A., Brooks D.H., Miller E.L., DiMarzio C.A., Kilmer M., Gaudette R.J., et al. Imaging the body with diffuse optical tomography. IEEE Signal Process Mag 18 6 (2001) 57-75
84. Klose A.D., and Hielscher A.H. Iterative reconstruction scheme for optical tomography based on the equation of radiative transfer. Med Phys 26 8 (1999) 1698-1707
85. Ren K., Abdoulaev G.S., Bal G., and Hielscher A.H. Algorithm for solving the equation of radiative transfer in the frequency domain. Opt Lett 29 6 (2004) 578-580
86. Francoeur M, Vaillon R, Rousse DR. Theoretical analysis of frequency and time domain methods for optical characterization of absorbing and scattering media. In: ICHMT the fourth international symposium on radiative transfer; 2004.
87. Boulanger J, Charette A, Liu F. Modulation frequency analysis of 1-D semi-transparent medium. In: ASME international mechanical engineering congress, Anaheim, CA, USA, 2004.
88. Arridge S.R., Cope M., and Delpy D.T. The theoretical basis for the determination of optical pathlengths in tissue: temporal and frequency analysis. Phys Med Biol 37 7 (1992) 1531-1560
89. Patterson M.S., Moulton J.D., Wilson B.C., Berndt K.W., and Lakowicz J.R. Frequency-domain reflectance for the determination of the scattering and absorption properties of tissue. Appl Opt 30 31 (1991) 4474-4476
90. Abdoulaev G.D., Ren K., and Hielscher A.H. Optical tomography as a PDE-constrained optimization problem. Inverse Probl 21 5 (2005) 1507-1530
91. Brewster M., and Yamada Y. Optical properties of thick turbid media from picosecond time-resolved light scattering measurements. Int J Heat Mass Transfer 38 14 (1995) 2569-2581
92. Guo Z, Wan S, August D, Dunn S, Semmlow J. Tumor imaging through temporal log-slope difference mapping of transient radiation signals. In: 2004 ASME international mechanical engineering congress and exposition, Anaheim, CA, USA, 2004.
93. Boulanger J., El Akel A., Charette A., and Liu F. Direct imaging of turbid media using long-time back-scattered photons, a numerical study. Int J Therm Sci 45 6 (2006) 537-552
94. over(e, ́) me Colloque Interuniversitaire Franco-Québécois sur la Thermique des Systèmes, Saint-Malo, France, 2005.
95. Boulanger J, Charette A, Liu F. Direct and reconstruction optical tomography. Some recent developments. In: Numerical heat transfer conference (NHT05), Gliwice-Cracow, Poland, 2005.
96. Hadamard J. Lectures on Cauchy's problem in linear differential equations (1923), Yale University Press, New Haven
97. Hielscher A.H., and Bartel S. Parallel programming of gradient-based iterative image reconstruction schemes for optical tomography. Comput Meth Prog Biomed 73 2 (2004) 101-113
98. Arridge S.R., Dorn O., Kaipio J.P., Kolehmainen V., Schweiger M., Tarvainen T., et al. Reconstruction of subdomain boundaries of piecewise constant coefficients of the radiative transfer equation from optical tomography data. Inverse Probl 22 6 (2006) 2175-2196
99. Arridge S.R., and Lionheart W.R.B. Nonuniqueness in diffusion-based optical tomography. Opt Lett 23 1 (1998) 882-884
100. Boulanger J, Liu F, Charette A. Investigation on the reflection at the boundaries for reconstruction laser-based imaging. In: Eurotherm 78, Poitiers, France, 2006.
101. Press W.H., Flannery B.P., Teukolsky S.A., and Vetterling W.T. Numerical recipes in FORTRAN: the art of scientific computing. 2nd ed. (1992), Cambridge University Press, Cambridge, MA
102. Schweiger M., and Arridge S.R. Application of temporal filters to time resolved data in optical tomography. Phys Med Biol 44 7 (1999) 1699-1717
103. Klose A.D., Netz U., Beuthan J., and Hielscher A.H. Optical tomography using the time-independent equation of radiative transfer-part 1: forward model. JQSRT 72 5 (2002) 691-713
104. Boulanger J., and Charette A. Reconstruction optical tomography using transient radiative transfer equation and pulsed laser: a numerical study. JQSRT 93 1-3 (2005) 325-336
105. Boulanger J., and Charette A. Numerical developments for short-pulsed near infra-red laser spectroscopy. Part I: direct treatment. JQSRT 91 2 (2005) 189-209
106. Kim HK, Charette A. Frequency domain optical tomography using a conjugate gradient method without line search. In: Eurotherm 78, Poitiers, France, 2006.
107. Klose AD. Private communication, 2006.
108. Boulanger J, Charette A. Reconstruction optical spectroscopy using transient radiative transfer equation and pulsed laser: a numerical study. In: Proceedings of the fourth international symposium on radiative transfer, Istanbul, Turkey, 2004.
109. Boulanger J., Liu F., and Charette A. Investigation on the reflection at the boundaries for reconstruction laser-based imaging. JQSRT 104 2 (2007) 238-247