1997
DOI: 10.1364/josaa.14.000255
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Perturbation theory for diffuse light transport in complex biological tissues

Abstract: A perturbation theory for the forward problem of optical transport in turbid media is developed. It is applicable to media with scattering and absorption in homogeneties and steady-state and modulated light. Absorbing perturbations can be described by a volume distribution of virtual sources that primarily causes a monopole perturbation light field. Scattering objects have an additional contribution that, in the limiting case of sharply bounded objects, is represented by a surface distribution of virtual sourc… Show more

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Cited by 52 publications
(53 citation statements)
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“…Finally, one really significant and surprising realization arises from the superiority of the filter method in the cases examined. It was always thought that the major inaccuracies in diffusion tomography come from the fact that the detector readings are nonlinear in the absorption and scattering coefficients (Ostermeyer and Jacques 1997). The iterations are intended to take account of this inherent nonlinearity.…”
Section: Strategies For Imaging Diffusing Media 369mentioning
confidence: 99%
“…Finally, one really significant and surprising realization arises from the superiority of the filter method in the cases examined. It was always thought that the major inaccuracies in diffusion tomography come from the fact that the detector readings are nonlinear in the absorption and scattering coefficients (Ostermeyer and Jacques 1997). The iterations are intended to take account of this inherent nonlinearity.…”
Section: Strategies For Imaging Diffusing Media 369mentioning
confidence: 99%
“…Nonlinear Optimization Methods. In (Ostermeyer and Jacques, 1997), an iterative reconstruction approach based on the integral formulation was presented. The method used the first-order Born integral formulation and proceeded by iterating successive higher order approximations n for using the previously obtained estimate n − 1 in the integrand.…”
Section: 44a Analytical Inversionmentioning
confidence: 99%
“…The boundary conditions and solution to this equation has been the subject of much study with a variety of results. [7][8][9][10][11][12] Heat transfer in tissue is often modeled with the Pennes' equation 13 :…”
Section: Modeling Opto-thermal Behaviormentioning
confidence: 99%