Computer simulation of time-resolved optical imaging of objects hidden in turbid media

Michielsen, Kristel; Raedt, de Hans; Przesławski, J.; Garcı́a, N.

doi:10.1016/s0370-1573(98)00023-4

Cited by 26 publications

(21 citation statements)

References 160 publications

(194 reference statements)

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“…(7.68) explicitly (see, e.g., [63,72]). In transmission through an optically thick slab (σ tr z > 1), results (7.72) and (7.73) are always valid for the snake component, which in accordance with [3,4,9] (see, also [74]) can be defined by condition Δ < z/2.…”

Section: Time-resolved Polarization Imagingsupporting

confidence: 66%

Transillumination of highly scattering media by polarized light

Gorodnichev

Ivliev

Kuzovlev

et al. 2013

Light Scattering Reviews 8

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Section: Time-resolved Polarization Imagingsupporting

confidence: 66%

Transillumination of highly scattering media by polarized light

Gorodnichev

Ivliev

Kuzovlev

et al. 2013

Light Scattering Reviews 8

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“…Using equations (38) and (39) and the fact that the difference Ψ (t) −Ψ(t) vanishes with τ 4 , as we will show below, we can be confident that the one-step algorithm indeed produces numerically exact results. This justifies to define the error as Ψ (t) −Ψ(t) / Ψ (t) ).…”

Section: ψ(T) −ψ(T) ≤ ψ(T) −ψ(T) + ψ (T) −ψ(T)mentioning

confidence: 80%

Solving seismic wave propagation in elastic media using the matrix exponential approach

Kole

2003

Wave Motion

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Three numerical algorithms are proposed to solve the time-dependent elastodynamic equations in elastic solids. All algorithms are based on approximating the solution of the equations, which can be written as a matrix exponential. By approximating the matrix exponential with a product formula, an unconditionally stable algorithm is derived that conserves the total elastic energy density. By expanding the matrix exponential in Chebyshev polynomials for a specific time instance, a so-called "one-step" algorithm is constructed that is very accurate with respect to the time integration. By formulating the conventional velocity-stress finite-difference time-domain algorithm (VS-FDTD) in matrix exponential form, the staggered-in-time nature can be removed by a small modification, and higher order in time algorithms can be easily derived. For two different seismic events the accuracy of the algorithms is studied and compared with the result obtained by using the conventional VS-FDTD algorithm.

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“…In Eqs. (10) and (11) I is the identity matrix. Practically to solve the problem of minimising the functional (9) they more frequently use the iteration algorithms of least squares [5,57,239,240], conjugate gradients [5, 12, As a rule, the linear reconstruction methods are efficient only when the small perturbation theory is valid [246,247], i.e., when the optical inhomogeneities are small-scale and possess small amplitude.…”

Section:  mentioning

confidence: 99%

Diffuse optical mammotomography: state-of-the-art and prospects

Konovalov

Genina

Bashkatov

2016

JBPE

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Abstract:The principles of diffuse optical tomography (DOT) of tissues are presented. The DOT capabilities as a method of breast cancer diagnostics are analysed. The state-ofthe-art of the DOT instrumentation and methodological base in application to solving the mammography problems are described. The significant contribution of Russian scientists to the development of the DOT methodology is emphasised. Basing on the results of the analysis, the authors expect the possibility of soonest entry of diffuse optical mammotomographs to the market of medical imaging instrumentation, and the capability of Russian researchers to take part in the competition for this market. © 2016 Journal of Biomedical Photonics & Engineering.Key words: diffuse optical tomography, breast, optical and functional parameters, methods of determining optical parameters, methods of image reconstruction, perturbation model of reconstruction, temporal point spread function, spatial resolution, reconstruction time. University Press, Cambridge (2016). 7. S. R. Arridge, and M. Schweiger, "Inverse methods for optical tomography," in Information Processing in Medical Imaging, H.H. Barrett (ed.), Springer-Verlag, Flagstaff, 259-277 (1993). 8. J. C. Hebden, S. R. Arridge, and D. T. Delpy, "Optical imaging in medicine: I. Experimental techniques,"Phys. Med. Biol. 42, 825-840 (1997). 9. S. R. Arridge, and J. C. Hebden, "Optical imaging in medicine: II. Modelling and reconstruction," Phys. Med. Biol. 42, 841-853 (1997). 10. B. B. Das, F. Liu, and R. R. Alfano, "Time-resolved fluorescence and photon migration studies in biomedical and random media," Rep. Prog. Phys. 60, 227-292 (1997). 11. K. Michielsen, H. De'Raedt, J. Przeslawski, and N. Garcia, "Computer simulation of time-resolved optical imaging of objects hidden in turbid media," Phys. Rep. 304, 89-144 (1998). 12. S. R. Arridge, "Optical tomography in medical imaging," Inverse Problems 15, R41-R93 (1999). Darzi, "Diffuse optical imaging of the healthy and diseased breast: a systematic review," Breast Cancer Research and Treatment 108, 9-22 (2008). 19. S. L. Jacques, and B. W. Pogue, "Tutorial on diffuse light transport," J. Biomed. Opt. 13, 041302 (2008 Biol. 361, 171-179 (1994). 31. A. Yodh, and B. Chance, "Spectroscopy and imaging with diffusing light," Phys. Today 48, 34-40 (1995). 32. J. C. Hebden, S. R. Arridge, "Imaging through scattering media by the use of an analytical model of perturbation amplitudes in the time domain," Appl. Opt. 35, 6788-6796 (1996). 33. K. D. Paulsen, and H. Jiang, "Enhanced frequency-domain optical image reconstruction in tissues through total-variation minimization," Appl. Opt. 35, 3447-3458 (1996). 34. R. J. Grable, "Optical tomography improves mammography," Laser Focus World 32, 113-118 (1996). 35. V. V. Lyubimov, "The physical foundation of the strongly scattering media laser tomography," Proc. SPIE 2769SPIE , 107-110 (1996. 36. V. V. Lyubimov, "Optical tomography of highly scattering media by using the first transmitted photons of ultrashort pulses," Optics a...

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Computer simulation of time-resolved optical imaging of objects hidden in turbid media

Cited by 26 publications

References 160 publications

Transillumination of highly scattering media by polarized light

Transillumination of highly scattering media by polarized light

Solving seismic wave propagation in elastic media using the matrix exponential approach

Diffuse optical mammotomography: state-of-the-art and prospects

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